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CAT Mock Test- 9 (04/09/2022)


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CAT Mock Test- 9 (04/09/2022) - Question 1

Read the passage carefully and answer the following questions:

The brave new economy being rebuilt in the wake of the financial meltdown is being built on low-wage service work, as manufacturing’s decline has accelerated and construction ground to a halt. At the beginning of the Great Recession, economist Heather Boushey noted at Slate, manufacturing and construction made up fully half the jobs lost, along with financial services and other business fields, and writers declared the “Mancession” or “He-cession” or even, as Hanna Rosin’s popular book has it, The End of Men. But as others have pointed out, as the recession drags on, it’s women who’ve faced the largest losses, not only in direct attacks on public sector jobs that are dominated by women, but in increased competition from the men pushed out of their previous professions. Some 60 percent of the jobs lost in the public sector were held by women, according to the Institute for Women’s Policy Research. And women have regained only 12 percent of the jobs lost during the recession, while men have regained 63 percent of the jobs they lost.

Women may be overrepresented in the growing sectors of the economy, but those sectors pay poverty wages. The public sector job cuts that have been largely responsible for unemployment remaining at or near 8 percent have fallen disproportionately on women (and women of color are hit the hardest). Those good union jobs disappear, and are replaced with a minimum-wage gig at Walmart—and even in retail, women make only 90 percent of what men make.

“All work is gendered. And the economy that we have assigns different levels of value based off of that,” says Ai-Jen Poo, executive director of the National Domestic Workers Alliance. Poo came to labor organizing through feminism. As a volunteer in a domestic violence shelter for Asian immigrant women, she explains, she realized that it was women who had economic opportunities who were able to break the cycle of violence. She brings a sharp gender analysis to the struggle for respect and better treatment for the workers, mostly women, who “make all other work possible.”

“Society has devalued that work over time,” she notes of the cleaning, caring, cooking, and other work domestic workers perform, largely hidden from public view, “and we think that that has a lot to do with who’s done the work.”

This argument was at the root of the fight for access to employment outside of the “pink-collar” fields. To be trapped in women’s jobs was to be forever trapped in a certain vision of femininity. Breaking out of “women’s work” was a form of breaking through the “feminine mystique” that Betty Friedan decried. But that work still needs to be done, and, Poo notes, the conditions that have long defined domestic work and service work—instability, lack of training, lack of career pathways, low pay—are now increasingly the reality for all American workers, not just women. When we focus on equal access at the top, we miss out the real story, which historian Bethany Moreton points out, “is not ‘Oh wow, women get to be lawyers,’ but that men get to be casualized clerks.”

Q. Which of the following statements can be inferred from the passage?

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 1

The passage only talks about the job losses that happened in the manufacturing and construction industry. This cannot be extrapolated to decipher the performance of these industries in general. Option A can be eliminated.

Option B, similar to option A, makes a claim that cannot be validated based on the information presented in the passage.

Although men regained more jobs lost during the recession than women, this cannot be the basis to conclude that jobs held by men were more immune during the recession. Option C can be eliminated.

"The public sector job cuts that have been largely responsible for unemployment remaining at or near 8 per cent have fallen disproportionately on women". Option D can be inferred from this line. Also, in the first paragraph, the author states that 60 per cent of the public sector jobs lost were held by women. Hence, option D is the answer. 

CAT Mock Test- 9 (04/09/2022) - Question 2

Read the passage carefully and answer the following questions:

The brave new economy being rebuilt in the wake of the financial meltdown is being built on low-wage service work, as manufacturing’s decline has accelerated and construction ground to a halt. At the beginning of the Great Recession, economist Heather Boushey noted at Slate, manufacturing and construction made up fully half the jobs lost, along with financial services and other business fields, and writers declared the “Mancession” or “He-cession” or even, as Hanna Rosin’s popular book has it, The End of Men. But as others have pointed out, as the recession drags on, it’s women who’ve faced the largest losses, not only in direct attacks on public sector jobs that are dominated by women, but in increased competition from the men pushed out of their previous professions. Some 60 percent of the jobs lost in the public sector were held by women, according to the Institute for Women’s Policy Research. And women have regained only 12 percent of the jobs lost during the recession, while men have regained 63 percent of the jobs they lost.

Women may be overrepresented in the growing sectors of the economy, but those sectors pay poverty wages. The public sector job cuts that have been largely responsible for unemployment remaining at or near 8 percent have fallen disproportionately on women (and women of color are hit the hardest). Those good union jobs disappear, and are replaced with a minimum-wage gig at Walmart—and even in retail, women make only 90 percent of what men make.

“All work is gendered. And the economy that we have assigns different levels of value based off of that,” says Ai-Jen Poo, executive director of the National Domestic Workers Alliance. Poo came to labor organizing through feminism. As a volunteer in a domestic violence shelter for Asian immigrant women, she explains, she realized that it was women who had economic opportunities who were able to break the cycle of violence. She brings a sharp gender analysis to the struggle for respect and better treatment for the workers, mostly women, who “make all other work possible.”

“Society has devalued that work over time,” she notes of the cleaning, caring, cooking, and other work domestic workers perform, largely hidden from public view, “and we think that that has a lot to do with who’s done the work.”

This argument was at the root of the fight for access to employment outside of the “pink-collar” fields. To be trapped in women’s jobs was to be forever trapped in a certain vision of femininity. Breaking out of “women’s work” was a form of breaking through the “feminine mystique” that Betty Friedan decried. But that work still needs to be done, and, Poo notes, the conditions that have long defined domestic work and service work—instability, lack of training, lack of career pathways, low pay—are now increasingly the reality for all American workers, not just women. When we focus on equal access at the top, we miss out the real story, which historian Bethany Moreton points out, “is not ‘Oh wow, women get to be lawyers,’ but that men get to be casualized clerks.”

Q. Women stand to lose the most during the recession and in its immediate aftermath for all of the following reasons, EXCEPT:

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 2

The passage states that public sector jobs held by women are more vulnerable during a recession. Option A can be inferred. 
The competition is from unemployed men, who have been displaced from their existing professions, and not from employed men. Option B cannot be inferred. 
Option C can be eliminated as well. The author does not present such a correlation anywhere in the passage. 
Hence, option D is the answer. 

CAT Mock Test- 9 (04/09/2022) - Question 3

Read the passage carefully and answer the following questions:

The brave new economy being rebuilt in the wake of the financial meltdown is being built on low-wage service work, as manufacturing’s decline has accelerated and construction ground to a halt. At the beginning of the Great Recession, economist Heather Boushey noted at Slate, manufacturing and construction made up fully half the jobs lost, along with financial services and other business fields, and writers declared the “Mancession” or “He-cession” or even, as Hanna Rosin’s popular book has it, The End of Men. But as others have pointed out, as the recession drags on, it’s women who’ve faced the largest losses, not only in direct attacks on public sector jobs that are dominated by women, but in increased competition from the men pushed out of their previous professions. Some 60 percent of the jobs lost in the public sector were held by women, according to the Institute for Women’s Policy Research. And women have regained only 12 percent of the jobs lost during the recession, while men have regained 63 percent of the jobs they lost.

Women may be overrepresented in the growing sectors of the economy, but those sectors pay poverty wages. The public sector job cuts that have been largely responsible for unemployment remaining at or near 8 percent have fallen disproportionately on women (and women of color are hit the hardest). Those good union jobs disappear, and are replaced with a minimum-wage gig at Walmart—and even in retail, women make only 90 percent of what men make.

“All work is gendered. And the economy that we have assigns different levels of value based off of that,” says Ai-Jen Poo, executive director of the National Domestic Workers Alliance. Poo came to labor organizing through feminism. As a volunteer in a domestic violence shelter for Asian immigrant women, she explains, she realized that it was women who had economic opportunities who were able to break the cycle of violence. She brings a sharp gender analysis to the struggle for respect and better treatment for the workers, mostly women, who “make all other work possible.”

“Society has devalued that work over time,” she notes of the cleaning, caring, cooking, and other work domestic workers perform, largely hidden from public view, “and we think that that has a lot to do with who’s done the work.”

This argument was at the root of the fight for access to employment outside of the “pink-collar” fields. To be trapped in women’s jobs was to be forever trapped in a certain vision of femininity. Breaking out of “women’s work” was a form of breaking through the “feminine mystique” that Betty Friedan decried. But that work still needs to be done, and, Poo notes, the conditions that have long defined domestic work and service work—instability, lack of training, lack of career pathways, low pay—are now increasingly the reality for all American workers, not just women. When we focus on equal access at the top, we miss out the real story, which historian Bethany Moreton points out, “is not ‘Oh wow, women get to be lawyers,’ but that men get to be casualized clerks.”

Q. Ai-Jen Poo would agree with which of the following statements?

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 3

Option A - According to the passage, Ai-Jen Poo believed that economic opportunities were imperative for women to break the cycle of violence. But the desire to do so may or may not depend on those opportunities. So, option A is wrong.
Option B - Although Poo opines that society devaluing domestic work has a lot to do with the people doing it, it is not sufficient to conclude that the opinion about these jobs would change if more men were involved. Option B can be eliminated.
Option C- Poo acknowledges the importance of domestic workers in making all other work possible. And also voiced the need for better treatment of domestic workers, as they are crucial to the functioning of other job sectors. Hence, she would agree with the statement in option C.
Option D- Poo would agree that domestic workers influence the functioning of other job sectors, but to generalise this statement to include the relationship between other sectors is beyond the scope of the passage. Option D can be eliminated.
Hence, option C is the answer.

CAT Mock Test- 9 (04/09/2022) - Question 4

Read the passage carefully and answer the following questions:

The brave new economy being rebuilt in the wake of the financial meltdown is being built on low-wage service work, as manufacturing’s decline has accelerated and construction ground to a halt. At the beginning of the Great Recession, economist Heather Boushey noted at Slate, manufacturing and construction made up fully half the jobs lost, along with financial services and other business fields, and writers declared the “Mancession” or “He-cession” or even, as Hanna Rosin’s popular book has it, The End of Men. But as others have pointed out, as the recession drags on, it’s women who’ve faced the largest losses, not only in direct attacks on public sector jobs that are dominated by women, but in increased competition from the men pushed out of their previous professions. Some 60 percent of the jobs lost in the public sector were held by women, according to the Institute for Women’s Policy Research. And women have regained only 12 percent of the jobs lost during the recession, while men have regained 63 percent of the jobs they lost.

Women may be overrepresented in the growing sectors of the economy, but those sectors pay poverty wages. The public sector job cuts that have been largely responsible for unemployment remaining at or near 8 percent have fallen disproportionately on women (and women of color are hit the hardest). Those good union jobs disappear, and are replaced with a minimum-wage gig at Walmart—and even in retail, women make only 90 percent of what men make.

“All work is gendered. And the economy that we have assigns different levels of value based off of that,” says Ai-Jen Poo, executive director of the National Domestic Workers Alliance. Poo came to labor organizing through feminism. As a volunteer in a domestic violence shelter for Asian immigrant women, she explains, she realized that it was women who had economic opportunities who were able to break the cycle of violence. She brings a sharp gender analysis to the struggle for respect and better treatment for the workers, mostly women, who “make all other work possible.”

“Society has devalued that work over time,” she notes of the cleaning, caring, cooking, and other work domestic workers perform, largely hidden from public view, “and we think that that has a lot to do with who’s done the work.”

This argument was at the root of the fight for access to employment outside of the “pink-collar” fields. To be trapped in women’s jobs was to be forever trapped in a certain vision of femininity. Breaking out of “women’s work” was a form of breaking through the “feminine mystique” that Betty Friedan decried. But that work still needs to be done, and, Poo notes, the conditions that have long defined domestic work and service work—instability, lack of training, lack of career pathways, low pay—are now increasingly the reality for all American workers, not just women. When we focus on equal access at the top, we miss out the real story, which historian Bethany Moreton points out, “is not ‘Oh wow, women get to be lawyers,’ but that men get to be casualized clerks.”

Q. "Breaking out of women’s work was a form of breaking through the feminine mystique". Which of the following statements best captures the sense of this statement?

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 4

In the passage, the author states that "To be trapped in women’s jobs was to be forever trapped in a certain vision of femininity." So, to escape this trap, women had to engage in tasks that fell outside the ambit of acceptable work for women. 
Option A surmises this point correctly.
Options B and D are out of scope, as they discuss achieving parity with men and performing the same jobs as them. It is not necessary for women to be employed in the same jobs as men. Performing tasks that were outside the ambit of acceptable work was sufficient. 
Option C misses out on the larger picture- breaking through the vision of femininity. 
Option A is the answer.

CAT Mock Test- 9 (04/09/2022) - Question 5

Read the passage carefully and answer the following questions:

It’s been two decades since the Human Genome Project first unveiled a rough draft of our genetic instruction book. The promise of that medical moon shot was that doctors would soon be able to look at an individual’s DNA and prescribe the right medicines for that person’s illness or even prevent certain diseases. That promise, known as precision medicine, has yet to be fulfilled in any widespread way. True, researchers are getting clues about some genetic variants linked to certain conditions and some that affect how drugs work in the body. But many of those advances have benefited just one group: people whose ancestral roots stem from Europe. In other words, white people.

Instead of a truly human genome that represents everyone, “what we have is essentially a European genome,” says Constance Hilliard, an evolutionary historian at the University of North Texas in Denton. “That data doesn’t work for anybody apart from people of European ancestry.” She’s talking about more than the Human Genome Project’s reference genome. That database is just one of many that researchers are using to develop precision medicine strategies. Often those genetic databases draw on data mainly from white participants. But race isn’t the issue. The problem is that collectively, those data add up to a catalog of genetic variants that don’t represent the full range of human genetic diversity.

One solution is to make customized reference genomes for populations whose members die from cancer or heart disease at higher rates than other groups, for example, or who face other worse health outcomes, Hilliard suggests. Hilliard’s hypothesis is that precision medicine, which tailors treatments based on a person’s genetic data, lifestyle, environment and physiology, is more likely to succeed when researchers consider the histories of groups that have worse health outcomes.

And the more specific the better. For instance, African Americans who descended from enslaved people have geographic and ecological origins as well as evolutionary and social histories distinct from those of recent African immigrants to the United States. Those histories have left stamps in the DNA that can make a difference in people’s health today. The same goes for Indigenous people from various parts of the world and Latino people from Mexico versus the Caribbean or Central or South America.

Results of a survey conducted by Science News revealed that one big drawback to Hilliard’s proposal may be social rather than scientific. Many respondents expressed concern that even well-intentioned scientists might do research that ultimately increases bias and discrimination toward certain groups. As one respondent put it, “The idea of diversity is being stretched into an arena where racial differences will be emphasized and commonalities minimized. The fear is that any differences that are found would be exploited by those who want to denigrate others. This is truly the entry to a racist philosophy.” Indeed, the Chinese government has come under fire for using DNA to identify members of the Uighur Muslim ethnic group, singling them out for surveillance and sending some to “reeducation camps.”

Hilliard says that the argument that minorities become more vulnerable when they open themselves to genetic research is valid. “Genomics, like nuclear fusion, can be weaponized and dangerous,” she says in response to respondents' concerns. “Minorities can choose to be left out of the genomic revolution or they can make full use of it,” by adding their genetic data to the mix.

Q. Which of the following statements is Constance Hilliard least likely to agree with?

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 5

In African American example, Hilliard says, "African Americans who descended from enslaved people have geographic and ecological origins as well as evolutionary and social histories distinct from those of recent African immigrants to the United States. Those histories have left stamps in the DNA that can make a difference in people’s health today." So, according to her, geographical ancestry affects DNA profile and hence would agree with the statement in option A.
Option C , too, follows from the inference drawn based on the African-American example elucidated above. Hilliard believes that other factors like ecological and geographical origins also play a crucial role in determining the genetic makeup.
"That data doesn’t work for anybody apart from people of European ancestry". Hilliards makes this remark on the efficacy of the existing database. Hence, she would agree with the statement in option D.
This leaves us with option B. The author does not discuss Hilliard's views on the health outcomes of minorities in the passage. And moreover, genetic data obtained from few members could potentially benefit the entire group at large. Hence, Hilliard is least likely to agree with the statement in option B.
Option B is the answer.

CAT Mock Test- 9 (04/09/2022) - Question 6

Read the passage carefully and answer the following questions:

It’s been two decades since the Human Genome Project first unveiled a rough draft of our genetic instruction book. The promise of that medical moon shot was that doctors would soon be able to look at an individual’s DNA and prescribe the right medicines for that person’s illness or even prevent certain diseases. That promise, known as precision medicine, has yet to be fulfilled in any widespread way. True, researchers are getting clues about some genetic variants linked to certain conditions and some that affect how drugs work in the body. But many of those advances have benefited just one group: people whose ancestral roots stem from Europe. In other words, white people.

Instead of a truly human genome that represents everyone, “what we have is essentially a European genome,” says Constance Hilliard, an evolutionary historian at the University of North Texas in Denton. “That data doesn’t work for anybody apart from people of European ancestry.” She’s talking about more than the Human Genome Project’s reference genome. That database is just one of many that researchers are using to develop precision medicine strategies. Often those genetic databases draw on data mainly from white participants. But race isn’t the issue. The problem is that collectively, those data add up to a catalog of genetic variants that don’t represent the full range of human genetic diversity.

One solution is to make customized reference genomes for populations whose members die from cancer or heart disease at higher rates than other groups, for example, or who face other worse health outcomes, Hilliard suggests. Hilliard’s hypothesis is that precision medicine, which tailors treatments based on a person’s genetic data, lifestyle, environment and physiology, is more likely to succeed when researchers consider the histories of groups that have worse health outcomes.

And the more specific the better. For instance, African Americans who descended from enslaved people have geographic and ecological origins as well as evolutionary and social histories distinct from those of recent African immigrants to the United States. Those histories have left stamps in the DNA that can make a difference in people’s health today. The same goes for Indigenous people from various parts of the world and Latino people from Mexico versus the Caribbean or Central or South America.

Results of a survey conducted by Science News revealed that one big drawback to Hilliard’s proposal may be social rather than scientific. Many respondents expressed concern that even well-intentioned scientists might do research that ultimately increases bias and discrimination toward certain groups. As one respondent put it, “The idea of diversity is being stretched into an arena where racial differences will be emphasized and commonalities minimized. The fear is that any differences that are found would be exploited by those who want to denigrate others. This is truly the entry to a racist philosophy.” Indeed, the Chinese government has come under fire for using DNA to identify members of the Uighur Muslim ethnic group, singling them out for surveillance and sending some to “reeducation camps.”

Hilliard says that the argument that minorities become more vulnerable when they open themselves to genetic research is valid. “Genomics, like nuclear fusion, can be weaponized and dangerous,” she says in response to respondents' concerns. “Minorities can choose to be left out of the genomic revolution or they can make full use of it,” by adding their genetic data to the mix.

Q. The central point in the fifth paragraph is that

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 6

{As one respondent put it, “The idea of diversity is being stretched into an arena where racial differences will be emphasized, and commonalities minimized. The fear is that any differences that are found would be exploited by those who want to denigrate others. This is truly the entry to a racist philosophy.” Indeed, the Chinese government has come under fire for using DNA to identify members of the Uighur Muslim ethnic group, singling them out for surveillance and sending some to “reeducation camps.”}
In the fifth paragraph, the author discusses one of the consequences of genetic research that many are worried about- the results being used to amplify racial differences and target certain racial/ethnic groups. Option A aptly captures this inference.
Option B is a distortion. The author does not assert that Hilliard's proposal is devoid of scientific flaws.
Options C and D are tangential to the discussion. The author does not present any information regarding discriminatory policies or diverse opinions in the passage. 

CAT Mock Test- 9 (04/09/2022) - Question 7

Read the passage carefully and answer the following questions:

It’s been two decades since the Human Genome Project first unveiled a rough draft of our genetic instruction book. The promise of that medical moon shot was that doctors would soon be able to look at an individual’s DNA and prescribe the right medicines for that person’s illness or even prevent certain diseases. That promise, known as precision medicine, has yet to be fulfilled in any widespread way. True, researchers are getting clues about some genetic variants linked to certain conditions and some that affect how drugs work in the body. But many of those advances have benefited just one group: people whose ancestral roots stem from Europe. In other words, white people.

Instead of a truly human genome that represents everyone, “what we have is essentially a European genome,” says Constance Hilliard, an evolutionary historian at the University of North Texas in Denton. “That data doesn’t work for anybody apart from people of European ancestry.” She’s talking about more than the Human Genome Project’s reference genome. That database is just one of many that researchers are using to develop precision medicine strategies. Often those genetic databases draw on data mainly from white participants. But race isn’t the issue. The problem is that collectively, those data add up to a catalog of genetic variants that don’t represent the full range of human genetic diversity.

One solution is to make customized reference genomes for populations whose members die from cancer or heart disease at higher rates than other groups, for example, or who face other worse health outcomes, Hilliard suggests. Hilliard’s hypothesis is that precision medicine, which tailors treatments based on a person’s genetic data, lifestyle, environment and physiology, is more likely to succeed when researchers consider the histories of groups that have worse health outcomes.

And the more specific the better. For instance, African Americans who descended from enslaved people have geographic and ecological origins as well as evolutionary and social histories distinct from those of recent African immigrants to the United States. Those histories have left stamps in the DNA that can make a difference in people’s health today. The same goes for Indigenous people from various parts of the world and Latino people from Mexico versus the Caribbean or Central or South America.

Results of a survey conducted by Science News revealed that one big drawback to Hilliard’s proposal may be social rather than scientific. Many respondents expressed concern that even well-intentioned scientists might do research that ultimately increases bias and discrimination toward certain groups. As one respondent put it, “The idea of diversity is being stretched into an arena where racial differences will be emphasized and commonalities minimized. The fear is that any differences that are found would be exploited by those who want to denigrate others. This is truly the entry to a racist philosophy.” Indeed, the Chinese government has come under fire for using DNA to identify members of the Uighur Muslim ethnic group, singling them out for surveillance and sending some to “reeducation camps.”

Hilliard says that the argument that minorities become more vulnerable when they open themselves to genetic research is valid. “Genomics, like nuclear fusion, can be weaponized and dangerous,” she says in response to respondents' concerns. “Minorities can choose to be left out of the genomic revolution or they can make full use of it,” by adding their genetic data to the mix.

Q. "But many of those advances have benefited just one group: people whose ancestral roots stem from Europe. In other words, white people." Which of the following cannot be inferred from the statement?

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 7

The statement establishes an equivalence between having ancestral origins in Europe and being white - it states that both are the same. 
Option A can be inferred. If any other race had their ancestral origins in Europe, the advances in genetic research would have benefitted that group as well.
Options B and C follow from option A. People who do not have their ancestral origins in Europe cannot be white. Alternatively, if a person is white, he must have ancestral origins in Europe. 
Option D cannot be conclusively inferred from the passage. The statement clarifies that advances in genetic research have benefitted only the people of European ancestry, and these are the white people. All white people, hence, definitely have ancestral origins in Europe. But it is not clear from the statement whether a mixed origin, i.e., having other ancestral origins and European origins, is possible and, if possible, whether it affects a person's race. Either way, option D cannot be conclusively inferred and is the answer.

CAT Mock Test- 9 (04/09/2022) - Question 8

Read the passage carefully and answer the following questions:

It’s been two decades since the Human Genome Project first unveiled a rough draft of our genetic instruction book. The promise of that medical moon shot was that doctors would soon be able to look at an individual’s DNA and prescribe the right medicines for that person’s illness or even prevent certain diseases. That promise, known as precision medicine, has yet to be fulfilled in any widespread way. True, researchers are getting clues about some genetic variants linked to certain conditions and some that affect how drugs work in the body. But many of those advances have benefited just one group: people whose ancestral roots stem from Europe. In other words, white people.

Instead of a truly human genome that represents everyone, “what we have is essentially a European genome,” says Constance Hilliard, an evolutionary historian at the University of North Texas in Denton. “That data doesn’t work for anybody apart from people of European ancestry.” She’s talking about more than the Human Genome Project’s reference genome. That database is just one of many that researchers are using to develop precision medicine strategies. Often those genetic databases draw on data mainly from white participants. But race isn’t the issue. The problem is that collectively, those data add up to a catalog of genetic variants that don’t represent the full range of human genetic diversity.

One solution is to make customized reference genomes for populations whose members die from cancer or heart disease at higher rates than other groups, for example, or who face other worse health outcomes, Hilliard suggests. Hilliard’s hypothesis is that precision medicine, which tailors treatments based on a person’s genetic data, lifestyle, environment and physiology, is more likely to succeed when researchers consider the histories of groups that have worse health outcomes.

And the more specific the better. For instance, African Americans who descended from enslaved people have geographic and ecological origins as well as evolutionary and social histories distinct from those of recent African immigrants to the United States. Those histories have left stamps in the DNA that can make a difference in people’s health today. The same goes for Indigenous people from various parts of the world and Latino people from Mexico versus the Caribbean or Central or South America.

Results of a survey conducted by Science News revealed that one big drawback to Hilliard’s proposal may be social rather than scientific. Many respondents expressed concern that even well-intentioned scientists might do research that ultimately increases bias and discrimination toward certain groups. As one respondent put it, “The idea of diversity is being stretched into an arena where racial differences will be emphasized and commonalities minimized. The fear is that any differences that are found would be exploited by those who want to denigrate others. This is truly the entry to a racist philosophy.” Indeed, the Chinese government has come under fire for using DNA to identify members of the Uighur Muslim ethnic group, singling them out for surveillance and sending some to “reeducation camps.”

Hilliard says that the argument that minorities become more vulnerable when they open themselves to genetic research is valid. “Genomics, like nuclear fusion, can be weaponized and dangerous,” she says in response to respondents' concerns. “Minorities can choose to be left out of the genomic revolution or they can make full use of it,” by adding their genetic data to the mix.

Q. Hilliard likens Genomics to nuclear fusion for which one of the following reasons?

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 8

Options A, B and D require extraneous information and hence cannot be concluded from the passage. The passage does not discuss the potential effects of nuclear fusion on minorities or its penetration in various countries, or the human capital required. 
The author presents the benefits that genomics could bring about and also discusses Hilliard's response to concerns over the potential misuse of the results obtained. {Hilliard says that the argument that minorities become more vulnerable when they open themselves to genetic research is valid}. Hillard further remarks that, "Genomics, like nuclear fusion, can be weaponized and dangerous". This brings out the other side of the story. 
Hence, option C is the answer.

CAT Mock Test- 9 (04/09/2022) - Question 9

Read the passage carefully and answer the following questions:

Cryptocurrencies have long been heralded as the future of finance, but it wasn’t until 2020 that it finally caught on to an old idea: making money with money. In the crypto world, decentralized finance (or DeFi) encompasses a wide array of blockchain-based applications intended to enhance cryptocurrency holders’ returns without relying on intermediaries — to earn the kind of passive returns an investor might get from a savings account, a Treasury bill, or an Apple Inc. bond.

The idea seems to be catching fire: Deposits in DeFi applications grew from about $1 billion in June to just under $40 billion by late January 2021, suggesting that DeFi could be a major element of crypto from here on out. In the tradition of disruptive innovations — as Clayton Christensen envisioned them — DeFi can be the evolution of blockchain technology that might launch it into mainstream.

The premise of DeFi is simple: Fix the longstanding inefficiency in crypto finance of capital being kept idle at a nonzero opportunity cost. Now, most investors buy crypto with the hope that the value of the currency itself will rise, as Bitcoin has. In general, that strategy has worked just fine. The value of cryptocurrencies has appreciated so rapidly that there just wasn’t much incentive to worry about gains of a few percent here and there.

But the recent rise of stablecoins, which are designed keep their value constant, has changed that calculation. The combined market cap of stablecoins such as Terra and USDC has more than quadrupled in 2020. Now, vast passive income opportunities are being awakened by DeFi.

The appeal of a lower-risk approach to crypto is obvious and has the potential to expand the pool of investors. For the first time, it’s possible to be compensated for owning cryptos (even in the absence of price appreciation), which brings real, tangible utilities to digital currencies and changes the narrative of an asset class whose sole purpose used to be about being sold at a higher price. Therefore, many of the DeFi protocols today might have the potential to become big and bold enough to rival their centralized counterparts, while staying true to their decentralized roots. Furthermore, with volatility out of the picture and the promise of more stable returns, institutional investors are now considering crypto as part of their investments in alternatives.

The search for passive returns on crypto assets, called “yield farming,” is already taking shape on a number of new lending platforms. Compound Labs has launched one of the biggest DeFi lending platforms, where users can now borrow and lend any cryptocurrency on a short-term basis at algorithmically determined rates. A prototypical yield farmer moves assets around pools on Compound, constantly chasing the pool offering the highest annual percentage yield (APY). Practically, it echoes a strategy in traditional finance — a foreign currency carry trade — where a trader seeks to borrow the currency charging a lower interest rate and lend the one offering a higher return.

Crypto yield farming, however, offers more incentives. For instance, by depositing stablecoins into a digital account, investors would be rewarded in at least two ways. First, they receive the APY on their deposits. Second, and more importantly, certain protocols offer an additional subsidy, in the form of a new token, on top of the yield that it charges the borrower and pays to the lender.

Q. Which of the following statements cannot be inferred from the passage?
I. DeFi is a form of finance that does not rely on financial intermediaries.
II. Capital invested in crypto finance would have zero opportunity cost with increased deposits in DeFi applications.
III. Deposits in DeFi applications would make cryptocurrency investments free from volatility.
IV. People follow traditional financial strategies on DeFi lending platforms.

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 9

"Decentralized finance (or DeFi) encompasses a wide array of blockchain-based applications intended to enhance cryptocurrency holders’ returns without relying on intermediaries". Statement I can be inferred from this line.
"The premise of DeFi is simple: Fix the longstanding inefficiency in crypto finance of capital being kept idle at a nonzero opportunity cost." However, it is not possible to conclude from this line that the opportunity cost would come down to zero. Statement II cannot be inferred.
Statement III cannot be inferred either. The passage only talks about reduced volatility, in the case of DeFi lending platforms and stablecoins. 
The passage only discusses a one-off example, i.e., about 'yield farming', in the case of Compound, and how investors follow a traditional financial strategy. However, this one example cannot be the basis to conclude that people, in general,  follow traditional financial strategies on DeFi lending platforms.
Hence, statements II, III and IV cannot be inferred. Option C is the answer. 

CAT Mock Test- 9 (04/09/2022) - Question 10

Read the passage carefully and answer the following questions:

Cryptocurrencies have long been heralded as the future of finance, but it wasn’t until 2020 that it finally caught on to an old idea: making money with money. In the crypto world, decentralized finance (or DeFi) encompasses a wide array of blockchain-based applications intended to enhance cryptocurrency holders’ returns without relying on intermediaries — to earn the kind of passive returns an investor might get from a savings account, a Treasury bill, or an Apple Inc. bond.

The idea seems to be catching fire: Deposits in DeFi applications grew from about $1 billion in June to just under $40 billion by late January 2021, suggesting that DeFi could be a major element of crypto from here on out. In the tradition of disruptive innovations — as Clayton Christensen envisioned them — DeFi can be the evolution of blockchain technology that might launch it into mainstream.

The premise of DeFi is simple: Fix the longstanding inefficiency in crypto finance of capital being kept idle at a nonzero opportunity cost. Now, most investors buy crypto with the hope that the value of the currency itself will rise, as Bitcoin has. In general, that strategy has worked just fine. The value of cryptocurrencies has appreciated so rapidly that there just wasn’t much incentive to worry about gains of a few percent here and there.

But the recent rise of stablecoins, which are designed keep their value constant, has changed that calculation. The combined market cap of stablecoins such as Terra and USDC has more than quadrupled in 2020. Now, vast passive income opportunities are being awakened by DeFi.

The appeal of a lower-risk approach to crypto is obvious and has the potential to expand the pool of investors. For the first time, it’s possible to be compensated for owning cryptos (even in the absence of price appreciation), which brings real, tangible utilities to digital currencies and changes the narrative of an asset class whose sole purpose used to be about being sold at a higher price. Therefore, many of the DeFi protocols today might have the potential to become big and bold enough to rival their centralized counterparts, while staying true to their decentralized roots. Furthermore, with volatility out of the picture and the promise of more stable returns, institutional investors are now considering crypto as part of their investments in alternatives.

The search for passive returns on crypto assets, called “yield farming,” is already taking shape on a number of new lending platforms. Compound Labs has launched one of the biggest DeFi lending platforms, where users can now borrow and lend any cryptocurrency on a short-term basis at algorithmically determined rates. A prototypical yield farmer moves assets around pools on Compound, constantly chasing the pool offering the highest annual percentage yield (APY). Practically, it echoes a strategy in traditional finance — a foreign currency carry trade — where a trader seeks to borrow the currency charging a lower interest rate and lend the one offering a higher return.

Crypto yield farming, however, offers more incentives. For instance, by depositing stablecoins into a digital account, investors would be rewarded in at least two ways. First, they receive the APY on their deposits. Second, and more importantly, certain protocols offer an additional subsidy, in the form of a new token, on top of the yield that it charges the borrower and pays to the lender.

Q. Which of the following would the author cite as a reason for activity in DeFi applications being nascent until recently?

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 10

"The value of cryptocurrencies has appreciated so rapidly that there just wasn’t much incentive to worry about gains of a few percent here and there". Option B can be inferred from this line.
Options A,C and D have not been mentioned in the passage and can be eliminated. Option B is the answer.

CAT Mock Test- 9 (04/09/2022) - Question 11

Read the passage carefully and answer the following questions:

Cryptocurrencies have long been heralded as the future of finance, but it wasn’t until 2020 that it finally caught on to an old idea: making money with money. In the crypto world, decentralized finance (or DeFi) encompasses a wide array of blockchain-based applications intended to enhance cryptocurrency holders’ returns without relying on intermediaries — to earn the kind of passive returns an investor might get from a savings account, a Treasury bill, or an Apple Inc. bond.

The idea seems to be catching fire: Deposits in DeFi applications grew from about $1 billion in June to just under $40 billion by late January 2021, suggesting that DeFi could be a major element of crypto from here on out. In the tradition of disruptive innovations — as Clayton Christensen envisioned them — DeFi can be the evolution of blockchain technology that might launch it into mainstream.

The premise of DeFi is simple: Fix the longstanding inefficiency in crypto finance of capital being kept idle at a nonzero opportunity cost. Now, most investors buy crypto with the hope that the value of the currency itself will rise, as Bitcoin has. In general, that strategy has worked just fine. The value of cryptocurrencies has appreciated so rapidly that there just wasn’t much incentive to worry about gains of a few percent here and there.

But the recent rise of stablecoins, which are designed keep their value constant, has changed that calculation. The combined market cap of stablecoins such as Terra and USDC has more than quadrupled in 2020. Now, vast passive income opportunities are being awakened by DeFi.

The appeal of a lower-risk approach to crypto is obvious and has the potential to expand the pool of investors. For the first time, it’s possible to be compensated for owning cryptos (even in the absence of price appreciation), which brings real, tangible utilities to digital currencies and changes the narrative of an asset class whose sole purpose used to be about being sold at a higher price. Therefore, many of the DeFi protocols today might have the potential to become big and bold enough to rival their centralized counterparts, while staying true to their decentralized roots. Furthermore, with volatility out of the picture and the promise of more stable returns, institutional investors are now considering crypto as part of their investments in alternatives.

The search for passive returns on crypto assets, called “yield farming,” is already taking shape on a number of new lending platforms. Compound Labs has launched one of the biggest DeFi lending platforms, where users can now borrow and lend any cryptocurrency on a short-term basis at algorithmically determined rates. A prototypical yield farmer moves assets around pools on Compound, constantly chasing the pool offering the highest annual percentage yield (APY). Practically, it echoes a strategy in traditional finance — a foreign currency carry trade — where a trader seeks to borrow the currency charging a lower interest rate and lend the one offering a higher return.

Crypto yield farming, however, offers more incentives. For instance, by depositing stablecoins into a digital account, investors would be rewarded in at least two ways. First, they receive the APY on their deposits. Second, and more importantly, certain protocols offer an additional subsidy, in the form of a new token, on top of the yield that it charges the borrower and pays to the lender.

Q. According to the passage, a 'crypto currency' carry trade would necessarily involve
I. Borrowing from the pool charging a lower algorithmically determined rate.
II. Converting the borrowed cryptocurrency into another cryptocurrency offering a higher algorithmically determined rate and lending it out.
III. Not collecting the return from cryptocurrency lent out until the exchange rate resets to the value at the time of borrowing.
IV. Profit or loss due to difference in borrowed and lent out rates. 

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 11

According to the passage, in carry trade, a "trader seeks to borrow the currency charging a lower interest rate and lend the one offering a higher return." So, statement I is true.
Statement II cannot be inferred. The author does not mention  a changing form of cryptocurrency. A person may borrow from a pool with lower rate and lend in a pool with higher rate, while both pools use the same cryptocurrency. 
Statement III cannot be inferred from the passage. The example of Compound Labs mentions that trade happens on a short-term basis. The exchange rate and its significance have not been mentioned. 
Statement IV is true. The difference in rates would be the return for the investor. 

So, option C is the answer.

CAT Mock Test- 9 (04/09/2022) - Question 12

Read the passage carefully and answer the following questions:

Cryptocurrencies have long been heralded as the future of finance, but it wasn’t until 2020 that it finally caught on to an old idea: making money with money. In the crypto world, decentralized finance (or DeFi) encompasses a wide array of blockchain-based applications intended to enhance cryptocurrency holders’ returns without relying on intermediaries — to earn the kind of passive returns an investor might get from a savings account, a Treasury bill, or an Apple Inc. bond.

The idea seems to be catching fire: Deposits in DeFi applications grew from about $1 billion in June to just under $40 billion by late January 2021, suggesting that DeFi could be a major element of crypto from here on out. In the tradition of disruptive innovations — as Clayton Christensen envisioned them — DeFi can be the evolution of blockchain technology that might launch it into mainstream.

The premise of DeFi is simple: Fix the longstanding inefficiency in crypto finance of capital being kept idle at a nonzero opportunity cost. Now, most investors buy crypto with the hope that the value of the currency itself will rise, as Bitcoin has. In general, that strategy has worked just fine. The value of cryptocurrencies has appreciated so rapidly that there just wasn’t much incentive to worry about gains of a few percent here and there.

But the recent rise of stablecoins, which are designed keep their value constant, has changed that calculation. The combined market cap of stablecoins such as Terra and USDC has more than quadrupled in 2020. Now, vast passive income opportunities are being awakened by DeFi.

The appeal of a lower-risk approach to crypto is obvious and has the potential to expand the pool of investors. For the first time, it’s possible to be compensated for owning cryptos (even in the absence of price appreciation), which brings real, tangible utilities to digital currencies and changes the narrative of an asset class whose sole purpose used to be about being sold at a higher price. Therefore, many of the DeFi protocols today might have the potential to become big and bold enough to rival their centralized counterparts, while staying true to their decentralized roots. Furthermore, with volatility out of the picture and the promise of more stable returns, institutional investors are now considering crypto as part of their investments in alternatives.

The search for passive returns on crypto assets, called “yield farming,” is already taking shape on a number of new lending platforms. Compound Labs has launched one of the biggest DeFi lending platforms, where users can now borrow and lend any cryptocurrency on a short-term basis at algorithmically determined rates. A prototypical yield farmer moves assets around pools on Compound, constantly chasing the pool offering the highest annual percentage yield (APY). Practically, it echoes a strategy in traditional finance — a foreign currency carry trade — where a trader seeks to borrow the currency charging a lower interest rate and lend the one offering a higher return.

Crypto yield farming, however, offers more incentives. For instance, by depositing stablecoins into a digital account, investors would be rewarded in at least two ways. First, they receive the APY on their deposits. Second, and more importantly, certain protocols offer an additional subsidy, in the form of a new token, on top of the yield that it charges the borrower and pays to the lender.

Q. The primary purpose of the passage is to

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 12

Option A talks about a 'crisis', which is out of scope. Option A can be eliminated.
Option B can be eliminated. The author does not talk about the shortcomings of blockchain technology in the passage. Also, rather than highlighting anything unconventional about cryptocurrencies, the author attempts to bring about a development in the area that mirrors conventional investment logic. 
Option D is close but goes beyond the scope of the passage. The focus is only on DeFi and not other income opportunities. Also, earning income through interests is not a novel concept.
Option C is the answer. The passage talks about a longstanding inefficiency  in crypto finance of capital being kept idle at a nonzero opportunity cost and how DeFi could help overcome this issue. The passage further highlights the future potential of DeFi. 

CAT Mock Test- 9 (04/09/2022) - Question 13

Read the passage carefully and answer the following questions:

Cryptocurrencies have long been heralded as the future of finance, but it wasn’t until 2020 that it finally caught on to an old idea: making money with money. In the crypto world, decentralized finance (or DeFi) encompasses a wide array of blockchain-based applications intended to enhance cryptocurrency holders’ returns without relying on intermediaries — to earn the kind of passive returns an investor might get from a savings account, a Treasury bill, or an Apple Inc. bond.

The idea seems to be catching fire: Deposits in DeFi applications grew from about $1 billion in June to just under $40 billion by late January 2021, suggesting that DeFi could be a major element of crypto from here on out. In the tradition of disruptive innovations — as Clayton Christensen envisioned them — DeFi can be the evolution of blockchain technology that might launch it into mainstream.

The premise of DeFi is simple: Fix the longstanding inefficiency in crypto finance of capital being kept idle at a nonzero opportunity cost. Now, most investors buy crypto with the hope that the value of the currency itself will rise, as Bitcoin has. In general, that strategy has worked just fine. The value of cryptocurrencies has appreciated so rapidly that there just wasn’t much incentive to worry about gains of a few percent here and there.

But the recent rise of stablecoins, which are designed keep their value constant, has changed that calculation. The combined market cap of stablecoins such as Terra and USDC has more than quadrupled in 2020. Now, vast passive income opportunities are being awakened by DeFi.

The appeal of a lower-risk approach to crypto is obvious and has the potential to expand the pool of investors. For the first time, it’s possible to be compensated for owning cryptos (even in the absence of price appreciation), which brings real, tangible utilities to digital currencies and changes the narrative of an asset class whose sole purpose used to be about being sold at a higher price. Therefore, many of the DeFi protocols today might have the potential to become big and bold enough to rival their centralized counterparts, while staying true to their decentralized roots. Furthermore, with volatility out of the picture and the promise of more stable returns, institutional investors are now considering crypto as part of their investments in alternatives.

The search for passive returns on crypto assets, called “yield farming,” is already taking shape on a number of new lending platforms. Compound Labs has launched one of the biggest DeFi lending platforms, where users can now borrow and lend any cryptocurrency on a short-term basis at algorithmically determined rates. A prototypical yield farmer moves assets around pools on Compound, constantly chasing the pool offering the highest annual percentage yield (APY). Practically, it echoes a strategy in traditional finance — a foreign currency carry trade — where a trader seeks to borrow the currency charging a lower interest rate and lend the one offering a higher return.

Crypto yield farming, however, offers more incentives. For instance, by depositing stablecoins into a digital account, investors would be rewarded in at least two ways. First, they receive the APY on their deposits. Second, and more importantly, certain protocols offer an additional subsidy, in the form of a new token, on top of the yield that it charges the borrower and pays to the lender.

Q. Which of the following statements cannot be inferred from the fifth paragraph ("The appeal....in alternatives")?
I. With more institutional investors considering crypto as part of their investments in alternatives, speculative investment in crypto would come down.
II. Trading volume in some of the DeFi platforms could soon surpass the trading volume seen in centralized platforms.
III. DeFi has opened up lower-risk investment opportunities in crypto and could lead to the migration of a large number of investors from centralized platforms to decentralized platforms.
IV. With the increasing popularity of DeFi, price appreciation of cryptocurrencies will no longer be a major motivating factor.

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 13

The passage does not discuss the investment behaviour of speculative investors anywhere. Statement I cannot be inferred.
The passage states that some of the DeFi protocols could rival their centralized counterparts. This cannot be equated to DeFi platforms having a larger trade volume than their centralized counterparts. 
While the former part of statement III is correct, the latter part distorts the information given in the passage. The author opines that the lower-risk approach could potentially expand the pool of investors. He does not, in any way, assert that these investors would be migrating from centralized platforms to DeFi platforms. Statement III cannot be inferred either.
According to the passage, when the cryptocurrency is sold at a higher price, it results in price appreciation. This was the sole purpose of owning cryptocurrencies before DeFi. However, it is not possible to conclude that with the increasing popularity of DeFi, price appreciation will no longer be a major motivating factor. It may not be the sole purpose of owning cryptos anymore, but it could still be a major motivating factor. 
So, statement IV is wrong and cannot be inferred.
Since none of the statements can be conclusively inferred, the answer is option C. 

CAT Mock Test- 9 (04/09/2022) - Question 14

Read the passage carefully and answer the following questions:

When investigating witchcraft, one needs to differentiate between real and imaginary magic in the early modern period. If we want to understand the connection between the imaginary magic of the witches and economic behaviour, we need to deal with the connection between the economy and the real magic practised by ‘common’ people. In pre-industrial Europe, magic was a part of everyday life, very much like religion. People didn’t just believe in the efficacy of magic, they actively tried to use magic themselves. Simple forms of divination and healing magic were common, as was magic related to agriculture. The peasant household used divination to find out if the time was right for certain agricultural activities. Charms were supposed to keep the livestock in good health. Urban artisans and merchants also used economic magic to increase their wealth.

Of all the forms of magic, magical treasure-hunting had the greatest economic significance. Treasure hunters drew on a vast magical arsenal. They had spell books of any description, divining rods available in any kind of wood, amulets to protect them against evil spirits, and lead tablets etched with magical signs.  To the utter horror of the ecclesiastical authorities, they invoked angels and saints. Treasure hunters talked to ghosts. Some of them even tried to conjure up demons. However,  common people simply didn’t see treasure magic as witchcraft, and most of the judges agreed. 

Separate from these real forms of magic, there was the imaginary magic of the witches. Nobody was ever (or could ever be) guilty of witchcraft in the full sense of the word, which was defined by the late Middle Ages as a crime that consisted of five elements: a pact with the devil; sexual intercourse with demons; the magical flight (on a broomstick or a similar device); the witches’ dance (often referred to by the antisemitic term ‘witches’ sabbath’); and malevolent magic. Early modern Europe and Britain treated witchcraft as a capital crime.

At first glance, the relation between the economy and the imaginary magic of the witches seems to be entirely negative. Witches were often accused of attacking livestock. They magically made frost, storm and hail, and thereby caused crop failure. Indeed, their weather magic was said to endanger the economy of entire regions. Still, at least in the majority of the witch trials on the European continent, the witches didn’t profit from their magic. Weather magic especially looked like a strange form of auto-aggression because the hailstorms the witches supposedly conjured up damaged their own fields as well. As a rule, the pact with the devil as it appears in trial records was not a contract like that of Goethe’s Faust, which was mostly about the wishes of the magician. Rather, it stated simply that the witch submitted to the will of the demon. She did what a demon told her and became the instrument of the demon’s abyssal hatred of all creation. Witchcraft was mostly about destruction for destruction’s sake, not about the personal interests and wishes of the witches, let alone their economic advantage.

Q. Which one of the following best describes what the passage is trying to do?

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 14

In the passage, the author mentions that 'common people' did not see treasure magic as witchcraft. However, the author does not validate this opinion. Furthermore, the author points out how treasure hunters too tried to summon demons. Hence, it is not possible to conclude that treasure hunters were not involved in witchcraft or vice-versa. Option A is incorrect.
Option B is correct. Real magic manifested in different forms, including healing magic, agricultural magic and merchants used economic magic to increase their wealth. So, it clearly had an economic significance. Similarly, the imaginary magic, majorly weather magic, was held responsible for destroying farms and livestock.
Option C is wrong. The author does not make any such attempt.
Option D is a distortion. The different forms of magic had an economic significance or impact. But it is not possible to conclude from the passage that these mentalities shaped the evolution of various forms of magic. Option D can be eliminated. 

CAT Mock Test- 9 (04/09/2022) - Question 15

Read the passage carefully and answer the following questions:

When investigating witchcraft, one needs to differentiate between real and imaginary magic in the early modern period. If we want to understand the connection between the imaginary magic of the witches and economic behaviour, we need to deal with the connection between the economy and the real magic practised by ‘common’ people. In pre-industrial Europe, magic was a part of everyday life, very much like religion. People didn’t just believe in the efficacy of magic, they actively tried to use magic themselves. Simple forms of divination and healing magic were common, as was magic related to agriculture. The peasant household used divination to find out if the time was right for certain agricultural activities. Charms were supposed to keep the livestock in good health. Urban artisans and merchants also used economic magic to increase their wealth.

Of all the forms of magic, magical treasure-hunting had the greatest economic significance. Treasure hunters drew on a vast magical arsenal. They had spell books of any description, divining rods available in any kind of wood, amulets to protect them against evil spirits, and lead tablets etched with magical signs.  To the utter horror of the ecclesiastical authorities, they invoked angels and saints. Treasure hunters talked to ghosts. Some of them even tried to conjure up demons. However,  common people simply didn’t see treasure magic as witchcraft, and most of the judges agreed. 

Separate from these real forms of magic, there was the imaginary magic of the witches. Nobody was ever (or could ever be) guilty of witchcraft in the full sense of the word, which was defined by the late Middle Ages as a crime that consisted of five elements: a pact with the devil; sexual intercourse with demons; the magical flight (on a broomstick or a similar device); the witches’ dance (often referred to by the antisemitic term ‘witches’ sabbath’); and malevolent magic. Early modern Europe and Britain treated witchcraft as a capital crime.

At first glance, the relation between the economy and the imaginary magic of the witches seems to be entirely negative. Witches were often accused of attacking livestock. They magically made frost, storm and hail, and thereby caused crop failure. Indeed, their weather magic was said to endanger the economy of entire regions. Still, at least in the majority of the witch trials on the European continent, the witches didn’t profit from their magic. Weather magic especially looked like a strange form of auto-aggression because the hailstorms the witches supposedly conjured up damaged their own fields as well. As a rule, the pact with the devil as it appears in trial records was not a contract like that of Goethe’s Faust, which was mostly about the wishes of the magician. Rather, it stated simply that the witch submitted to the will of the demon. She did what a demon told her and became the instrument of the demon’s abyssal hatred of all creation. Witchcraft was mostly about destruction for destruction’s sake, not about the personal interests and wishes of the witches, let alone their economic advantage.

Q. Which of the following statements about magical treasure hunting and/or treasure hunters cannot be inferred? 

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 15

The passage states that most judges agreed with the common people's view that treasure magic was not related to witchcraft. However, this is not sufficient ground to posit that the other judges disagreed with the prevalent notion. They might not have had an opinion at all. Option A cannot be inferred. 
"To the utter horror of the ecclesiastical authorities, they invoked angels and saints." Option B can be inferred from this line. 'Ecclesiastical' means associated with the church.
From the first few lines of the second paragraph, it is clear that treasure hunters used spell books, divining rods, lead tablets etc., for magical purposes. So, option C can be inferred as well. 

Option B is the answer. 

CAT Mock Test- 9 (04/09/2022) - Question 16

Read the passage carefully and answer the following questions:

When investigating witchcraft, one needs to differentiate between real and imaginary magic in the early modern period. If we want to understand the connection between the imaginary magic of the witches and economic behaviour, we need to deal with the connection between the economy and the real magic practised by ‘common’ people. In pre-industrial Europe, magic was a part of everyday life, very much like religion. People didn’t just believe in the efficacy of magic, they actively tried to use magic themselves. Simple forms of divination and healing magic were common, as was magic related to agriculture. The peasant household used divination to find out if the time was right for certain agricultural activities. Charms were supposed to keep the livestock in good health. Urban artisans and merchants also used economic magic to increase their wealth.

Of all the forms of magic, magical treasure-hunting had the greatest economic significance. Treasure hunters drew on a vast magical arsenal. They had spell books of any description, divining rods available in any kind of wood, amulets to protect them against evil spirits, and lead tablets etched with magical signs.  To the utter horror of the ecclesiastical authorities, they invoked angels and saints. Treasure hunters talked to ghosts. Some of them even tried to conjure up demons. However,  common people simply didn’t see treasure magic as witchcraft, and most of the judges agreed. 

Separate from these real forms of magic, there was the imaginary magic of the witches. Nobody was ever (or could ever be) guilty of witchcraft in the full sense of the word, which was defined by the late Middle Ages as a crime that consisted of five elements: a pact with the devil; sexual intercourse with demons; the magical flight (on a broomstick or a similar device); the witches’ dance (often referred to by the antisemitic term ‘witches’ sabbath’); and malevolent magic. Early modern Europe and Britain treated witchcraft as a capital crime.

At first glance, the relation between the economy and the imaginary magic of the witches seems to be entirely negative. Witches were often accused of attacking livestock. They magically made frost, storm and hail, and thereby caused crop failure. Indeed, their weather magic was said to endanger the economy of entire regions. Still, at least in the majority of the witch trials on the European continent, the witches didn’t profit from their magic. Weather magic especially looked like a strange form of auto-aggression because the hailstorms the witches supposedly conjured up damaged their own fields as well. As a rule, the pact with the devil as it appears in trial records was not a contract like that of Goethe’s Faust, which was mostly about the wishes of the magician. Rather, it stated simply that the witch submitted to the will of the demon. She did what a demon told her and became the instrument of the demon’s abyssal hatred of all creation. Witchcraft was mostly about destruction for destruction’s sake, not about the personal interests and wishes of the witches, let alone their economic advantage.

Q. "Nobody was ever (or could ever be) guilty of witchcraft in the full sense of the word." Which of the following is the most likely reason for the author making this claim?

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 16

In the late middle ages, witchcraft was defined as a crime that consisted of five elements-a pact with the devil; sexual intercourse with demons; the magical flight (on a broomstick or a similar device); the witches’ dance (often referred to by the antisemitic term ‘witches’ sabbath’); and malevolent magic. A person's involvement in all five of these activities was necessary to be convicted of practising witchcraft. It is quite obvious that involvement in at least 3 of the 5 activities is impossible to prove when taken in its literal sense. . Option C aptly conveys this inference and is the answer.
Options B and D are close but beyond the scope of the passage. It could be quite possible to prove involvement in witches' sabbath. We cannot make a conclusion regarding this based on the information from the passage, but option C holds regardless. Option A is wrong. The passage clearly explains how witchcraft was defined as a crime in the late middle ages and the activities that amounted to it.

CAT Mock Test- 9 (04/09/2022) - Question 17

Read the passage carefully and answer the following questions:

When investigating witchcraft, one needs to differentiate between real and imaginary magic in the early modern period. If we want to understand the connection between the imaginary magic of the witches and economic behaviour, we need to deal with the connection between the economy and the real magic practised by ‘common’ people. In pre-industrial Europe, magic was a part of everyday life, very much like religion. People didn’t just believe in the efficacy of magic, they actively tried to use magic themselves. Simple forms of divination and healing magic were common, as was magic related to agriculture. The peasant household used divination to find out if the time was right for certain agricultural activities. Charms were supposed to keep the livestock in good health. Urban artisans and merchants also used economic magic to increase their wealth.

Of all the forms of magic, magical treasure-hunting had the greatest economic significance. Treasure hunters drew on a vast magical arsenal. They had spell books of any description, divining rods available in any kind of wood, amulets to protect them against evil spirits, and lead tablets etched with magical signs.  To the utter horror of the ecclesiastical authorities, they invoked angels and saints. Treasure hunters talked to ghosts. Some of them even tried to conjure up demons. However,  common people simply didn’t see treasure magic as witchcraft, and most of the judges agreed. 

Separate from these real forms of magic, there was the imaginary magic of the witches. Nobody was ever (or could ever be) guilty of witchcraft in the full sense of the word, which was defined by the late Middle Ages as a crime that consisted of five elements: a pact with the devil; sexual intercourse with demons; the magical flight (on a broomstick or a similar device); the witches’ dance (often referred to by the antisemitic term ‘witches’ sabbath’); and malevolent magic. Early modern Europe and Britain treated witchcraft as a capital crime.

At first glance, the relation between the economy and the imaginary magic of the witches seems to be entirely negative. Witches were often accused of attacking livestock. They magically made frost, storm and hail, and thereby caused crop failure. Indeed, their weather magic was said to endanger the economy of entire regions. Still, at least in the majority of the witch trials on the European continent, the witches didn’t profit from their magic. Weather magic especially looked like a strange form of auto-aggression because the hailstorms the witches supposedly conjured up damaged their own fields as well. As a rule, the pact with the devil as it appears in trial records was not a contract like that of Goethe’s Faust, which was mostly about the wishes of the magician. Rather, it stated simply that the witch submitted to the will of the demon. She did what a demon told her and became the instrument of the demon’s abyssal hatred of all creation. Witchcraft was mostly about destruction for destruction’s sake, not about the personal interests and wishes of the witches, let alone their economic advantage.

Q. In pre-industrial Europe, magic was practised for all of the following purposes, EXCEPT:

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 17

"Urban artisans and merchants also used economic magic to increase their wealth." Option A can be inferred from this line.
"Charms were supposed to keep the livestock in good health". Option B can be inferred from this line.
Peasant households used divination to ascertain the right time for certain agricultural practices. The passage makes no mention of remedies to improve crop health. Option C cannot be inferred.
Simple divination was practised. Divination refers to the practice of seeking knowledge of the future by supernatural means; in this case, magic.

CAT Mock Test- 9 (04/09/2022) - Question 18

Read the passage carefully and answer the following questions:

When investigating witchcraft, one needs to differentiate between real and imaginary magic in the early modern period. If we want to understand the connection between the imaginary magic of the witches and economic behaviour, we need to deal with the connection between the economy and the real magic practised by ‘common’ people. In pre-industrial Europe, magic was a part of everyday life, very much like religion. People didn’t just believe in the efficacy of magic, they actively tried to use magic themselves. Simple forms of divination and healing magic were common, as was magic related to agriculture. The peasant household used divination to find out if the time was right for certain agricultural activities. Charms were supposed to keep the livestock in good health. Urban artisans and merchants also used economic magic to increase their wealth.

Of all the forms of magic, magical treasure-hunting had the greatest economic significance. Treasure hunters drew on a vast magical arsenal. They had spell books of any description, divining rods available in any kind of wood, amulets to protect them against evil spirits, and lead tablets etched with magical signs.  To the utter horror of the ecclesiastical authorities, they invoked angels and saints. Treasure hunters talked to ghosts. Some of them even tried to conjure up demons. However,  common people simply didn’t see treasure magic as witchcraft, and most of the judges agreed. 

Separate from these real forms of magic, there was the imaginary magic of the witches. Nobody was ever (or could ever be) guilty of witchcraft in the full sense of the word, which was defined by the late Middle Ages as a crime that consisted of five elements: a pact with the devil; sexual intercourse with demons; the magical flight (on a broomstick or a similar device); the witches’ dance (often referred to by the antisemitic term ‘witches’ sabbath’); and malevolent magic. Early modern Europe and Britain treated witchcraft as a capital crime.

At first glance, the relation between the economy and the imaginary magic of the witches seems to be entirely negative. Witches were often accused of attacking livestock. They magically made frost, storm and hail, and thereby caused crop failure. Indeed, their weather magic was said to endanger the economy of entire regions. Still, at least in the majority of the witch trials on the European continent, the witches didn’t profit from their magic. Weather magic especially looked like a strange form of auto-aggression because the hailstorms the witches supposedly conjured up damaged their own fields as well. As a rule, the pact with the devil as it appears in trial records was not a contract like that of Goethe’s Faust, which was mostly about the wishes of the magician. Rather, it stated simply that the witch submitted to the will of the demon. She did what a demon told her and became the instrument of the demon’s abyssal hatred of all creation. Witchcraft was mostly about destruction for destruction’s sake, not about the personal interests and wishes of the witches, let alone their economic advantage.

Q. Which of the following could be the reason why the author uses the 'Goethe's Faust' example in the last paragraph?

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 18

The author uses the example to bring out the contrasting nature of the pact with the devil, as defined by trial records, compared to the contract made in Goethe's Faust. While the magician's wishes held sway in the contract made in Goethe's Faust, the pact with the devil is mostly about the devil's demands, i.e., it's unilateral. So, comparing the options, option D is the correct answer.
Options A and C can be easily eliminated as they don't allude to the definition given by trial records, which is important. The passage does not mention who the magician made the pact with, in Goethe's Faust. Hence, option B can be eliminated.

CAT Mock Test- 9 (04/09/2022) - Question 19

The passage given below is followed by four summaries. Choose the option that best captures the author’s position.

Clouds are powerful, pillowy paradoxes. They can reflect away the sun’s heat but also trap it in the atmosphere; they can be products of warming temperatures but can also amplify their effects. Now, while studying the atmospheric chemistry that produces clouds, researchers have uncovered an unexpectedly potent natural process that seeds their growth. And as the Earth continues to warm from rising levels of greenhouse gases, this process could be a major new mechanism for accelerating the loss of sea ice at the poles—one that no global climate model currently incorporates. This discovery emerged from studies of aerosols: the tiny particles suspended in air onto which water vapor condenses to form clouds. Researchers have identified a powerful yet overlooked source of cloud-making aerosols in pristine, remote environments: iodine.

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 19

Option A is not incorrect, but does not mention the role of iodine, which is central to the passage. Option A can be eliminated.
Option B aptly conveys the essence of the passage. The mechanism involving iodine is central to the passage.
Option C is a distortion. The current climate models do not incorporate iodine's mechanism, true. But passage does not state these models are incapable of doing it. Option C can be eliminated.
The passage does not compare the relative influence of iodine and greenhouse gases in the loss of sea ice. Option D can be eliminated.
Option B is the answer.

*Answer can only contain numeric values
CAT Mock Test- 9 (04/09/2022) - Question 20

The four sentences (labelled 1, 2, 3, 4) below, when properly sequenced would yield a coherent paragraph. Decide on the proper sequencing of the order of the sentences and key in the sequence of the four numbers as your answer:

  1. Some infections are noisy.
  2. Other microbes are silent houseguests, so unobtrusive that we don’t even notice them.
  3. They come with signs and symptoms of illness, either because the pathogen is causing a ruckus or because the body has grown cantankerous in its effort to evict an unwelcome tenant.
  4. Coronavirus infections seem capable of running the gamut.

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 20

1 will immediately precede 3 because "they" in 3 refers to "some infections" in 1, and the word "ruckus" in 3 is also related to "some infections" being "noisy" in 1. 2 will come immediately after 3 because 1 and 3 talk about some infections. And 2 talks about the "other microbes". 4 will clearly be the concluding sentences stating the coronavirus has both the features discussed in the previous lines. Hence, the order will be 1324.

*Answer can only contain numeric values
CAT Mock Test- 9 (04/09/2022) - Question 21

The four sentences (labelled 1, 2, 3, 4) below, when properly sequenced would yield a coherent paragraph. Decide on the proper sequencing of the order of the sentences and key in the sequence of the four numbers as your answer:

  1. The stated aim was to prevent foreign workers from cornering jobs in the context of the economic distress associated with the COVID-19 pandemic.
  2. By some estimates, H-1B visa applications of up to 219,000 workers were likely blocked as a result of Mr. Trump’s proclamation last June, halting the processing and issuance of non-immigrant work visas of several types.
  3. Mr. Biden’s action will have a significant and favourable impact for Indian nationals seeking employment with U.S. tech firms, given that they were the largest demographic to benefit from this visa annually.
  4. President Joe Biden allowed a ban on issuance of H-1B visas for skilled workers to lapse at the end of March 2021, a move signalling his intent to pull the U.S. back from harsh immigration rules imposed by his predecessor, Donald Trump.

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 21

Sentence 4 would be the starting sentence because it sets the context of the paragraph. "Mr. Biden’s action" in 3 refers to him permitting a ban on issuance of H-1B visas for skilled workers to lapse as stated in 4. So, 3 will follow 4. Sentence 1 will follow 2 because the aim stated in 1 is of Mr. Trump halting the processing and issuance of non-immigrant work visas as stated in 2. Hence, we get the sequence 4321.

*Answer can only contain numeric values
CAT Mock Test- 9 (04/09/2022) - Question 22

Five sentences related to a topic are given below. Four of them can be put together to form a meaningful and coherent short paragraph. Identify the odd one out.

  1. It was found that he had discreetly made a trip to Dhanbad.
  2. Both the agencies are concurrently probing the scam.
  3. Investigation agencies CBI and Enforcement Directorate conducted joint raids at various places in West Bengal in connection with the multi-crore coal pilferage scam.
  4. CBI has already examined a Trinamool Congress MP's wife for her alleged involvement in the coal scam.
  5. While CBI is looking after the criminal aspect of it, ED is delving into the money laundering angle of the scam.

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 22

"he' in 1 refers to the Trinamool Congress MP. 1 is clearly the odd one out because if the Trinamool Congress MP's wife was allegedly involved in the scam, him making a trip to Dhanbad, discreetly or otherwise, is of no relevance here. Also, sequence 3245 make a coherent paragraph.

*Answer can only contain numeric values
CAT Mock Test- 9 (04/09/2022) - Question 23

Five sentences related to a topic are given below. Four of them can be put together to form a meaningful and coherent short paragraph. Identify the odd one out.

  1. A young American journalist, born into immense privilege, began publishing articles from South Vietnam in leading magazines, including The Atlantic.
  2. Rather than competing with her male colleagues, she spent time in hospitals, villages, and slums, and she became engrossed in the politics of Buddhist students, the tragedies of refugees, the strategy of the Viet Cong, the history and culture of Vietnam.
  3. All focused their reporting on the fighting, and on the lies and failures of American officialdom.
  4. The Vietnam War had produced some of the greatest journalism of the century and made the reputations of young reporters such as David Halberstam, Neil Sheehan (who died earlier this year) and Malcolm Browne, and all of them were men.
  5. But FitzGerald pursued a different story as she was profoundly shocked by the suffering of the Vietnamese—not just the death, injury, and displacement, but the loss of identity under the crushing weight of the Americans.

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 23

Sentence 1 is the odd one out as the American journalist mentioned in the sentence does not necessarily refer to Fitzgerald and it does not fit in the coherent para formed by the rest of the sentences when arranged in sequence 4352.
Sentence 4 will be the starting sentence because it does not depend on any other sentence and sets the context for the rest of the sentences to follow. 3 will follow 4 since 'all' in 3 refers to the male journalists mentioned in 4. 5 will follow 3 as it tells us that Fitzgerald did not take the usual path as mentioned in 3, and 2 will follow 5 as it further elaborates on the path taken by Fitzgerald.

*Answer can only contain numeric values
CAT Mock Test- 9 (04/09/2022) - Question 24

Five sentences are given below. Four of these, when rearranged properly, form a logical and meaningful paragraph. Identify the sentence which does not belong to the paragraph and enter its number as the answer.
1. Then Arabs began to cross the desert to get gold and slaves from the dark-skinned Africans.
2. Only the people of Egypt could meet and learn from the people of Europe and Asia. 
3. The Egyptians are a race different both from the dark-skinned people of Africa and from Europeans.
4. Long ago most African peoples were shut off from the other people of the world by the sea and the great sandy desert. 
5. So while the Egyptians grew wise and clever, all the other Africans, knew nothing except what they had learnt by themselves.


Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 24

4 introduces the topic of African people being shut off from the other world.
2 talks about the only African country which was not shut off from the other world.
5 follows 2 and talks about the effect of Africans being shut off from the world and how meeting and learning from other people helped the Egyptians.
1 follows 5 as it follows the timeline.
3 talks about the people of Egypt which is not the topic of the passage.
The correct sequence is 4251.
Thus, option 3 is the odd one out.

CAT Mock Test- 9 (04/09/2022) - Question 25

Sheldon Cooper and Barry Kripke are 2 rival scientists at a world-renowned university. They both require highly expensive laser equipment for their research project but the university could afford only one. Not wanting to take sides of either of the scientists, Dr Siebert proposed them to use their logical brains to compete in a game and the winner would be allowed to use the equipment first. The game had following rules

  1. An electric dog will be placed on the building which has ground floor as Level 0, 1st floor as Level 1 and so on. The dog will be placed on level N where N is an integer.
  2. Each of the scientists will take a turn alternatively in deciding whether the dog jumps down 1 or 3 or 4 levels
  3. Whichever scientist is able to make the dog land on level 0 will win
  4. If the dog is at level 2, the only move possible is to bring down the dog by 1 level

Both the scientist play with the intention of winning and can not skip their turn

Q. Dr Siebert personally didn't like Sheldon and wanted him to lose. At what level must he place the dog and ask Sheldon to start so that he loses the game?

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 25

Let us work from the bottom of the building to understand the winning scenarios:
If the dog is at level 1, the command of 1 level down has to be given and thus dog will reach level 0 which will result in a win. Thus level 1 is always a winning position
If the dog is at level 2, the person will have no other option but to bring down the dog by level 1. His opponent will start at level 1 and win the game. Thus level 2 is a losing position

W = Win
L = Lose

If the dog is at Level 3 or Level 4, the dog can be given command of jumping down 3 or 4 levels and thus dog will reach level 0 and the person giving the command will be the winner.

W = Win
L = Lose
If the dog is at Level 5, it can be given the command to go down either 1 or 3 or 4 levels and will land on Level 4 or Level 2 or Level 1. The person would want the dog to land in such a way that the opponent gets the dog in losing position thus at this stage dog has to jump down 3 levels and land at level 2. Thus level 5 is a winning position
If the dog is at Level 6, it can be given the command to go down either 1 or 3 or 4 levels and will land on Level 5 or Level 3 or Level 2.The person would want the dog to land in such a way that the opponent gets the dog in losing position thus at this stage dog has to jump down 4 levels and land at level 2. Thus level 6 is a winning position.
If the dog is at Level 7, it can be given the command to go down either 1 or 3 or 4 levels and will land on Level 6 or Level 4 or Level 3. All of which is a winning position for the opponent. Therefore, whoever gets Level 7 is sure to lose

W = Win
L = Lose

If the dog is in level 8, then he can be given the command to jump down 1 level leaving the opponent at Level 7 which is a losing position. Thus level 8 is winning position. 
If the dog is at Level 9, it can be given the command to go down either 1 or 3 or 4 levels and will land on Level 8 or Level 6 or Level 5.All of which are a winning position and hence level 9 is a losing position
If the dog is at Level 10, it can be given the command to go down either 1 or 3 or 4 levels and will land on Level 9 or Level 7 or Level 6.The person would want the dog to land in such a way that the opponent gets the dog in losing position thus at this stage dog has to jump down 3 levels and land at level 7. Thus level 10 is a winning position.

W = Win
L = Lose
We see that a similar condition has been discussed earlier also, and hence a pattern is emerging.
If the player receives the dog on the level which is of form 7k or 7k+2 then the person is sure to lose the game. 
51 can be written as 51=7*(7)+2 and hence is a losing spot

*Answer can only contain numeric values
CAT Mock Test- 9 (04/09/2022) - Question 26

Sheldon Cooper and Barry Kripke are 2 rival scientists at a world-renowned university. They both require highly expensive laser equipment for their research project but the university could afford only one. Not wanting to take sides of either of the scientists, Dr Siebert proposed them to use their logical brains to compete in a game and the winner would be allowed to use the equipment first. The game had following rules

  1. An electric dog will be placed on the building which has ground floor as Level 0, 1st floor as Level 1 and so on. The dog will be placed on level N where N is an integer.
  2. Each of the scientists will take a turn alternatively in deciding whether the dog jumps down 1 or 3 or 4 levels
  3. Whichever scientist is able to make the dog land on level 0 will win
  4. If the dog is at level 2, the only move possible is to bring down the dog by 1 level

Both the scientist play with the intention of winning and can not skip their turn

Q. What is the lowest 3-digit level at which the dog should be placed given that Kripke starts the game and wins?


Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 26

Let us work from the bottom of the building to understand the winning scenarios:
If the dog is at level 1, the command of 1 level down has to be given and thus dog will reach level 0 which will result in a win. Thus level 1 is always a winning position
If the dog is at level 2, the person will have no other option but to bring down the dog by level 1. His opponent will start at level 1 and win the game. Thus level 2 is a losing position

W = Win
L = Lose
If the dog is at Level 3 or Level 4, the dog can be given command of jumping down 3 or 4 levels and thus dog will reach level 0 and the person giving the command will be the winner.

W = Win
L = Lose
If the dog is at Level 5, it can be given the command to go down either 1 or 3 or 4 levels and will land on Level 4 or Level 2 or Level 1. The person would want the dog to land in such a way that the opponent gets the dog in losing position thus at this stage dog has to jump down 3 levels and land at level 2. Thus level 5 is a winning position
If the dog is at Level 6, it can be given the command to go down either 1 or 3 or 4 levels and will land on Level 5 or Level 3 or Level 2.The person would want the dog to land in such a way that the opponent gets the dog in losing position thus at this stage dog has to jump down 4 levels and land at level 2. Thus level 6 is a winning position.
If the dog is at Level 7, it can be given the command to go down either 1 or 3 or 4 levels and will land on Level 6 or Level 4 or Level 3. All of which is a winning position for the opponent. Therefore, whoever gets Level 7 is sure to lose

W = Win
L = Lose
If the dog is in level 8, then he can be given the command to jump down 1 level leaving the opponent at Level 7 which is a losing position. Thus level 8 is winning position.
If the dog is at Level 9, it can be given the command to go down either 1 or 3 or 4 levels and will land on Level 8 or Level 6 or Level 5.All of which are a winning position and hence level 9 is a losing position
If the dog is at Level 10, it can be given the command to go down either 1 or 3 or 4 levels and will land on Level 9 or Level 7 or Level 6.The person would want the dog to land in such a way that the opponent gets the dog in losing position thus at this stage dog has to jump down 3 levels and land at level 7. Thus level 10 is a winning position.

W = Win
L = Lose
We see that a similar condition has been discussed earlier also, and hence a pattern is emerging.
If the player receives the dog on the level which is of form 7k or 7k+2 then the person is sure to lose the game.
The lowest 3-digit number is 100 but it is of the form 7k+2 hence a losing position. Hence 101 is the lowest 3-digit number which is a winning position.

*Answer can only contain numeric values
CAT Mock Test- 9 (04/09/2022) - Question 27

Sheldon Cooper and Barry Kripke are 2 rival scientists at a world-renowned university. They both require highly expensive laser equipment for their research project but the university could afford only one. Not wanting to take sides of either of the scientists, Dr Siebert proposed them to use their logical brains to compete in a game and the winner would be allowed to use the equipment first. The game had following rules

  1. An electric dog will be placed on the building which has ground floor as Level 0, 1st floor as Level 1 and so on. The dog will be placed on level N where N is an integer.
  2. Each of the scientists will take a turn alternatively in deciding whether the dog jumps down 1 or 3 or 4 levels
  3. Whichever scientist is able to make the dog land on level 0 will win
  4. If the dog is at level 2, the only move possible is to bring down the dog by 1 level

Both the scientist play with the intention of winning and can not skip their turn

Q. If Barry Kripke starts the game, then the probability that Sheldon wins the game is m/n where m and n are in lowest possible form. What is value of m+n ?


Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 27

Let us work from the bottom of the building to understand the winning scenarios:
If the dog is at level 1, the command of 1 level down has to be given and thus dog will reach level 0 which will result in a win. Thus level 1 is always a winning position
If the dog is at level 2, the person will have no other option but to bring down the dog by level 1. His opponent will start at level 1 and win the game. Thus level 2 is a losing position

W = Win
L = Lose
If the dog is at Level 3 or Level 4, the dog can be given command of jumping down 3 or 4 levels and thus dog will reach level 0 and the person giving the command will be the winner.

W = Win
L = Lose
If the dog is at Level 5, it can be given the command to go down either 1 or 3 or 4 levels and will land on Level 4 or Level 2 or Level 1. The person would want the dog to land in such a way that the opponent gets the dog in losing position thus at this stage dog has to jump down 3 levels and land at level 2. Thus level 5 is a winning position.
If the dog is at Level 6, it can be given the command to go down either 1 or 3 or 4 levels and will land on Level 5 or Level 3 or Level 2.The person would want the dog to land in such a way that the opponent gets the dog in losing position thus at this stage dog has to jump down 4 levels and land at level 2. Thus level 6 is a winning position.
If the dog is at Level 7, it can be given the command to go down either 1 or 3 or 4 levels and will land on Level 6 or Level 4 or Level 3. All of which is a winning position for the opponent. Therefore, whoever gets Level 7 is sure to lose

W = Win
L = Lose
If the dog is in level 8, then he can be given the command to jump down 1 level leaving the opponent at Level 7 which is a losing position. Thus level 8 is winning position.
If the dog is at Level 9, it can be given the command to go down either 1 or 3 or 4 levels and will land on Level 8 or Level 6 or Level 5.All of which are a winning position and hence level 9 is a losing position
If the dog is at Level 10, it can be given the command to go down either 1 or 3 or 4 levels and will land on Level 9 or Level 7 or Level 6.The person would want the dog to land in such a way that the opponent gets the dog in losing position thus at this stage dog has to jump down 3 levels and land at level 7. Thus level 10 is a winning position.

W = Win
L = Lose
We see that a similar condition has been discussed earlier also, and hence a pattern is emerging.
If the player receives the dog on the level which is of form 7k or 7k+2 then the person is sure to lose the game.

Any number can be written in form of either 7k, 7k+1, 7k+2, 7k+3, 7k+4, 7k+5 or 7k+6. Probability that the Barry starts at losing position will be thus 2/7 = m/n. Thus m + n = 2+7 = 9.

*Answer can only contain numeric values
CAT Mock Test- 9 (04/09/2022) - Question 28

Sheldon Cooper and Barry Kripke are 2 rival scientists at a world-renowned university. They both require highly expensive laser equipment for their research project but the university could afford only one. Not wanting to take sides of either of the scientists, Dr Siebert proposed them to use their logical brains to compete in a game and the winner would be allowed to use the equipment first. The game had following rules

  1. An electric dog will be placed on the building which has ground floor as Level 0, 1st floor as Level 1 and so on. The dog will be placed on level N where N is an integer.
  2. Each of the scientists will take a turn alternatively in deciding whether the dog jumps down 1 or 3 or 4 levels
  3. Whichever scientist is able to make the dog land on level 0 will win
  4. If the dog is at level 2, the only move possible is to bring down the dog by 1 level

Both the scientist play with the intention of winning and can not skip their turn

Q. At beginning of the game, Sheldon looked at the level at which the dog was placed. He did a mental calculation and graciously offered Kripke to start the game. Kripke started the game by making the dog jump down 1 level. Which of the following 3 levels 1,3 and 4 will Sheldon surely not command the dog to jump down to ensure he wins the game?


Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 28

Let us work from the bottom of the building to understand the winning scenarios:
If the dog is at level 1, the command of 1 level down has to be given and thus dog will reach level 0 which will result in a win. Thus level 1 is always a winning position
If the dog is at level 2, the person will have no other option but to bring down the dog by level 1. His opponent will start at level 1 and win the game. Thus level 2 is a losing position

W = 
L = Lose
If the dog is at Level 3 or Level 4, the dog can be given command of jumping down 3 or 4 levels and thus dog will reach level 0 and the person giving the command will be the winner.

W = Win
L = Lose
If the dog is at Level 5, it can be given the command to go down either 1 or 3 or 4 levels and will land on Level 4 or Level 2 or Level 1. The person would want the dog to land in such a way that the opponent gets the dog in losing position thus at this stage dog has to jump down 3 levels and land at level 2. Thus level 5 is a winning position
If the dog is at Level 6, it can be given the command to go down either 1 or 3 or 4 levels and will land on Level 5 or Level 3 or Level 2.The person would want the dog to land in such a way that the opponent gets the dog in losing position thus at this stage dog has to jump down 4 levels and land at level 2. Thus level 6 is a winning position.
If the dog is at Level 7, it can be given the command to go down either 1 or 3 or 4 levels and will land on Level 6 or Level 4 or Level 3. All of which is a winning position for the opponent. Therefore, whoever gets Level 7 is sure to lose

W = Win
L = Lose
If the dog is in level 8, then he can be given the command to jump down 1 level leaving the opponent at Level 7 which is a losing position. Thus level 8 is winning position.
If the dog is at Level 9, it can be given the command to go down either 1 or 3 or 4 levels and will land on Level 8 or Level 6 or Level 5.All of which are a winning position and hence level 9 is a losing position
If the dog is at Level 10, it can be given the command to go down either 1 or 3 or 4 levels and will land on Level 9 or Level 7 or Level 6.The person would want the dog to land in such a way that the opponent gets the dog in losing position thus at this stage dog has to jump down 3 levels and land at level 7. Thus level 10 is a winning position.

W = Win
L = Lose
We see that a similar condition has been discussed earlier also, hence we observe that the previous 7 observation are repeating itself
If the player receives the dog on the level which is of form 7k or 7k+2 then the person is sure to lose the game.
Since it is known that the players will play smartly to win, Sheldon will only give chance to Kripke if he is sure that the starting level is the losing level. Thus it is of the form 7k or 7k+2.
Therefore he'll receive the dog at the level which is of form 7k-1 or 7k+1
If the dog is at the level of form 7k+1, Sheldon will have to give the command to the dog to come 1 level down in order to ensure that Kripke stays on losing the level.
If the dog is at the level of form 7k-1, Sheldon will have to give the command to the dog to come 4 levels down in order to ensure that Kripke get the dog on level 7k-5 or 7k' +2 (where k=k'+1) which is a losing level.
In any scenario, Sheldon will not command the dog to jump down 3 levels.

*Answer can only contain numeric values
CAT Mock Test- 9 (04/09/2022) - Question 29

5 friends Akbar, Birbal, Chandan, Dhanush and Eeshwar, are standing in a line, not necessarily in the same order. Each of them is wearing is a shirt of unique colour among Red, Green, Blue, Yellow and Black not necessarily in the same order. Each of them also was wearing a pant which is unique among Red, Green, Blue, Yellow and Black not necessarily in the same order. They each own a device among iPhone, iPad, Apple Watch, iPod and Airpods.

The following things about the arrangements are known:

  1. Nobody wear shirt and pant of the matching colours
  2. Friend wearing Black pants is at the one of the extremes of the line and owns iPhone
  3. The friend who owns Airpods and is wearing Blue pants is standing just behind the iPod owner but is ahead of the friend wearing green pants.
  4. The guy wearing the Black shirt is standing at the end of the line and he owns iPad
  5. Birbal who is wearing a Red shirt, is standing ahead of the friend with Blue pants
  6. Eeshwar owns Apple Watch
  7. The friend with Black pants is one of the neighbours of the friend who is wearing Yellow pants
  8. Dhanush who is in the middle of the line is wearing a Blue Shirt and is standing ahead of the person who owns Airpods

Q. How many friends are their between Chandan and Akbar?


Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 29

Let us start with the position we know
>The guy wearing the Black shirt is standing at the end of the line owns iPad
> Dhanush who is in the middle of the line is wearing a Blue Shirt and is standing ahead of the person who owns Airpods

We are given that Dhanus is standing ahead of the person owning Airpods, thus Airpods owner has to be at fourth place
> Friend wearing Black pants is at one of the extremes of the line and owns an iPhone. Thus this person has to be in first position

> The friend who owns Airpods and is wearing Blue pants is standing just behind the iPod owner but is ahead of the friend wearing green pants.
Here we know the location of iPod owner. Thus only remaining device (Apple watch) is also known and can be represented as follows:
Using the following information we can further fill the table
> Eeshwar owns Apple Watch
> The friend with Black pants is one of the neighbours of the friend who is wearing Yellow pants

From the above table, we can conclude that the Red coloured pant has to be worn by Dhanush.
Also, we are given that Birbal wears a red shirt and is standing ahead of the friend with Blue pants. It is possible only when Birbal is in first position

We are given that no one wears a shirt and pant of matching colours. Thus we can say that Yellow Shirt was worn by the friend at fourth place and the green shirt was worn by Eeshwar.

Further information is not given
We can say that Chandan and Akbar are neighbours so there is no one between them

CAT Mock Test- 9 (04/09/2022) - Question 30

5 friends Akbar, Birbal, Chandan, Dhanush and Eeshwar, are standing in a line, not necessarily in the same order. Each of them is wearing is a shirt of unique colour among Red, Green, Blue, Yellow and Black not necessarily in the same order. Each of them also was wearing a pant which is unique among Red, Green, Blue, Yellow and Black not necessarily in the same order. They each own a device among iPhone, iPad, Apple Watch, iPod and Airpods.

The following things about the arrangements are known:

  1. Nobody wear shirt and pant of the matching colours
  2. Friend wearing Black pants is at the one of the extremes of the line and owns iPhone
  3. The friend who owns Airpods and is wearing Blue pants is standing just behind the iPod owner but is ahead of the friend wearing green pants.
  4. The guy wearing the Black shirt is standing at the end of the line and he owns iPad
  5. Birbal who is wearing a Red shirt, is standing ahead of the friend with Blue pants
  6. Eeshwar owns Apple Watch
  7. The friend with Black pants is one of the neighbours of the friend who is wearing Yellow pants
  8. Dhanush who is in the middle of the line is wearing a Blue Shirt and is standing ahead of the person who owns Airpods

Q. What is the position of Eeshwar

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 30

Let us start with the position we know
>The guy wearing the Black shirt is standing at the end of the line owns iPad
> Dhanush who is in the middle of the line is wearing a Blue Shirt and is standing ahead of the person who owns Airpods

We are given that Dhanus is standing ahead of the person owning Airpods, thus Airpods owner has to be at fourth place
> Friend wearing Black pants is at one of the extremes of the line and owns an iPhone. Thus this person has to be in first position

> The friend who owns Airpods and is wearing Blue pants is standing just behind the iPod owner but is ahead of the friend wearing green pants.
Here we know the location of iPod owner. Thus only remaining device (Apple watch) is also known and can be represented as follows:
Using the following information we can further fill the table
> Eeshwar owns Apple Watch
> The friend with Black pants is one of the neighbours of the friend who is wearing Yellow pants

From the above table, we can conclude that the Red coloured pant has to be worn by Dhanush.
Also, we are given that Birbal wears a red shirt and is standing ahead of the friend with Blue pants. It is possible only when Birbal is in first position

We are given that no one wears a shirt and pant of matching colours. Thus we can say that Yellow Shirt was worn by the friend at fourth place and the green shirt was worn by Eeshwar.

Further information is not given'
Eeshwar is on second postion

CAT Mock Test- 9 (04/09/2022) - Question 31

5 friends Akbar, Birbal, Chandan, Dhanush and Eeshwar, are standing in a line, not necessarily in the same order. Each of them is wearing is a shirt of unique colour among Red, Green, Blue, Yellow and Black not necessarily in the same order. Each of them also was wearing a pant which is unique among Red, Green, Blue, Yellow and Black not necessarily in the same order. They each own a device among iPhone, iPad, Apple Watch, iPod and Airpods.

The following things about the arrangements are known:

  1. Nobody wear shirt and pant of the matching colours
  2. Friend wearing Black pants is at the one of the extremes of the line and owns iPhone
  3. The friend who owns Airpods and is wearing Blue pants is standing just behind the iPod owner but is ahead of the friend wearing green pants.
  4. The guy wearing the Black shirt is standing at the end of the line and he owns iPad
  5. Birbal who is wearing a Red shirt, is standing ahead of the friend with Blue pants
  6. Eeshwar owns Apple Watch
  7. The friend with Black pants is one of the neighbours of the friend who is wearing Yellow pants
  8. Dhanush who is in the middle of the line is wearing a Blue Shirt and is standing ahead of the person who owns Airpods

Q. Which of the following is the correct combination of colour of pant and colour of shirt in the same order

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 31

Let us start with the position we know
>The guy wearing the Black shirt is standing at the end of the line owns iPad
> Dhanush who is in the middle of the line is wearing a Blue Shirt and is standing ahead of the person who owns Airpods

We are given that Dhanus is standing ahead of the person owning Airpods, thus Airpods owner has to be at fourth place
> Friend wearing Black pants is at one of the extremes of the line and owns an iPhone. Thus this person has to be in first position

> The friend who owns Airpods and is wearing Blue pants is standing just behind the iPod owner but is ahead of the friend wearing green pants.
Here we know the location of iPod owner. Thus only remaining device (Apple watch) is also known and can be represented as follows:
Using the following information we can further fill the table
> Eeshwar owns Apple Watch
> The friend with Black pants is one of the neighbours of the friend who is wearing Yellow pants

From the above table, we can conclude that the Red coloured pant has to be worn by Dhanush.
Also, we are given that Birbal wears a red shirt and is standing ahead of the friend with Blue pants. It is possible only when Birbal is in first position

We are given that no one wears a shirt and pant of matching colours. Thus we can say that Yellow Shirt was worn by the friend at fourth place and the green shirt was worn by Eeshwar.

Further information is not given
We can see that out of the option on Green Pant and Black Shirt combination is correct

CAT Mock Test- 9 (04/09/2022) - Question 32

5 friends Akbar, Birbal, Chandan, Dhanush and Eeshwar, are standing in a line, not necessarily in the same order. Each of them is wearing is a shirt of unique colour among Red, Green, Blue, Yellow and Black not necessarily in the same order. Each of them also was wearing a pant which is unique among Red, Green, Blue, Yellow and Black not necessarily in the same order. They each own a device among iPhone, iPad, Apple Watch, iPod and Airpods.

The following things about the arrangements are known:

  1. Nobody wear shirt and pant of the matching colours
  2. Friend wearing Black pants is at the one of the extremes of the line and owns iPhone
  3. The friend who owns Airpods and is wearing Blue pants is standing just behind the iPod owner but is ahead of the friend wearing green pants.
  4. The guy wearing the Black shirt is standing at the end of the line and he owns iPad
  5. Birbal who is wearing a Red shirt, is standing ahead of the friend with Blue pants
  6. Eeshwar owns Apple Watch
  7. The friend with Black pants is one of the neighbours of the friend who is wearing Yellow pants
  8. Dhanush who is in the middle of the line is wearing a Blue Shirt and is standing ahead of the person who owns Airpods

Q. Positions of how many friends can be uniquely determined?

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 32

Let us start with the position we know
>The guy wearing the Black shirt is standing at the end of the line owns iPad
> Dhanush who is in the middle of the line is wearing a Blue Shirt and is standing ahead of the person who owns Airpods

We are given that Dhanus is standing ahead of the person owning Airpods, thus Airpods owner has to be at fourth place
> Friend wearing Black pants is at one of the extremes of the line and owns an iPhone. Thus this person has to be in first position

> The friend who owns Airpods and is wearing Blue pants is standing just behind the iPod owner but is ahead of the friend wearing green pants.
Here we know the location of iPod owner. Thus only remaining device (Apple watch) is also known and can be represented as follows:
Using the following information we can further fill the table
> Eeshwar owns Apple Watch
> The friend with Black pants is one of the neighbours of the friend who is wearing Yellow pants

From the above table, we can conclude that the Red coloured pant has to be worn by Dhanush.
Also, we are given that Birbal wears a red shirt and is standing ahead of the friend with Blue pants. It is possible only when Birbal is in first position

We are given that no one wears a shirt and pant of matching colours. Thus we can say that Yellow Shirt was worn by the friend at fourth place and the green shirt was worn by Eeshwar.

Further information is not given
We can determine all the attributes for only three friends

*Answer can only contain numeric values
CAT Mock Test- 9 (04/09/2022) - Question 33

The Indian Cricket team is gearing up for the upcoming world cup. Coach Ravi Shastri has a strategy to select the playing 11, which depends on various situations. The board has named the 15 man squad for the tournament. The coach was discussing his strategy with captain Virat, and they reached the following conclusions:

  1. On a spinning track, they will play with at least 3 spinners and at least 2 fast bowlers.
  2. On a flat track, they will try to maximize the number of batsmen and minimize the number of spinners in the playing 11.
  3. On a grass pitch, they will select 2 proper spinners and 2 proper fast bowlers.
  4. Pandya is an all-rounder who can be used as a spin bowler, and Jadeja is an all-rounder who can bowl fast. An all-rounder is a player who can both bat and ball, whereas a proper batsman and proper bowler can only bat or bowl, respectively.
  5. Bumrah and Shami cannot partner with each other, and Rohit only plays when Dhawan plays.
  6. At most two out of Virat, Rahul and Shreyas can play at any given time.
  7. Rishabh is preferred when the number of fast bowlers playing is more than or equal to the number of spinners. Sanju is preferred when the number of fast bowlers playing is less than or equal to the number of spinners.
  8. Exactly one out of Mayank and Virat must play in the team.
  9. Exactly one among Rishabh and Sanju gets a place in the playing 11.
  10. A wicket-keeper could function as a batsman but is neither considered a proper batsman nor a proper bowler.

The 15 man squad selected are:

Q. Consider a situation where the pitch report says that it is a spinning track. How many combinations of players can be selected out of the 15?


Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 33

Selecting 3 spinners and 2 fast bowlers
On a spinning track, the coach selects 3 spinners and 2 fast bowlers.
Since, Spinners> Fast bowlers, we will have Sanju as our wicket keeper.
Spinners: Pandya, Ashwin and Chahal are the only three spinners and they all have to play.
Fast bowlers: We have to select 2 fast bowlers among Bhuvi, Shami, Bumrah and Jadeja.

Case 1: Bumrah/ Shami is selected.
In this case, we have to select one more fast bowler among Jadeja and Bhuvi. So, (Bumrah/ Shami) and (Bhuvi/ Jadeja) are selected in 4 ways.

Case 2: None of Bumrah and Shami is selected.
In this case, we will have to go with the remaining 2 bowlers. This can be done only in 1 way.
Till this point, we already have selected 6 players( 1 WK, 2 fast bowlers and 3 spinners).
Remaining 5 players have to be the batsman. We have 6 proper batsmen.

Batsman: Out of the 6 batsman, when we select 5, we are eliminating 1 batsman. This batsman can either be Virat or Mayank. Rest 4 have to play in the match. This can be done in 2 ways. But if Mayank does not play, Kohli does, we will have Kohli, Rahul and Shreyas playing together, which will contradict the clue given in point 6. So, the 5 batsman can only be selected with Virat not playing of the 6 batsman. So, only 1 case satisfies the given condition.
Now, 3 spinners, 2 fast bowlers, 1 Wicket keeper and 5 batsman can be selected in 1×(4+1)×(1)×(1)=5  ways.

Selecting 3 spinners and 3 fast bowlers-
Wicket keeper : Since, fast bowlers= Spinners, it can either be Sanju or Rishabh who can be selected for wicket keeping. -- 2 ways.
Spinners: In total, we only have 3 spinners. .'. Selecting 3 spinners from 3 spinners can be done in 1 way.
Fast bowlers: We have 4 fast bowlers including Jadeja and have to select 3 among them. This can only be done by eliminating either of Shami or Bumrah as both of them cannot play together. So, there are 2 ways of selecting the fast bowlers.
We have already selected 7 players (3 spinners, 3 fast bowlers and 1 wicket keeper). We are left with selecting 4 batsman out of the 6 batsmen.

Case 1: Virat is selected-
Mayank cannot be selected. We cannot select only 1 player among Virat, Rahul and Shreyas. This case will select a maximum of only 3 batsman (Rohit and Dhawan being the other two).
So, both Rohit, Dhawan and 1 more among Rahul and Shreyas is to be selected. This can be done in 2 ways- Selecting either of Rahul or Shreyas.

Case 2: Mayank plays and Virat does not-
(i) Rohit and Dhawan together- We already have 3 batsman now. We need to select 1 among Rahul and Shreyas.- 2 ways.
(ii) Selecting Dhawan and not Rohit- We have 2 batsman now and need 2 more. This is done in only 1 way by selecting both Rahul and Shreyas.
(iii) Neither Rohit nor Dhawan- We have only 1 batsman and we cannot select all the three among Virat, Shreyas and Rahul. So, 0 possibilities here.
In total, we have 3 spinners, 3 fast bowlers, 1 wicket keeper and 4 batsman selected in 1×2×2×(2+2+1)=20  ways.
'.' 4 fast bowlers cannot play together (Shami and Bumrah cannot play together), we have in total 5+20= 25 ways of forming the team.

CAT Mock Test- 9 (04/09/2022) - Question 34

Veena, Wardhan, Xavier, Yasmin and Zeeshan are playing in a card picking competition. In each round, there are 5 cards which are numbered 0,1,2,3, and 5. The backside of the cards is identical so none of the friends knows which card they are picking.  
The game consisted of 5 rounds in which each friend will come and randomly pick a card without replacing it. After 5 such rounds, the sum of the card number picked by the friend was calculated. If the total exceeds 10 or the friend has picked the card numbered 5 at least once, then those will be allowed to play in round 6. In round 6 the cards have to be returned back after picking thus allowing multiple friends to pick a card with the same number. 
In case the total score after round 6 is a tie, then another round will be played and it will continue till there is no tie. (If a friend is disqualified after round 5 then he will not be allowed to participate in bonus rounds)
The cumulative score of each friend after rounds is given below. Missing entry implies that the value is not known:

The following things are known for the first 5 rounds:
a) Each friend picked up card number 0 at least once
b) Xavier and Yasmin picked a different numbered card across the rounds. The other 3 friends repeated a previously picked card at least once
c) Card numbered 1 is always picked by a different friend in each round.
d) Card picked by Veena in round 2 is the same as the card picked by Wardhan in round 5

Q. How many friends will be playing round 6?

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 34

Let us make a table with the known data first

  1. Xavier and Yasmin picked a different numbered card each time. Hence their total will be 0+1+2+3+5 = 11 irrespective of the order they pick the cards
  2. Wardhan cumulative score was 3 after round 2 and 8 after round 4. Thus Wardhan picked card numbered 5 in round 3
  3. Xavier picked card numbered 3 in round 1. Therefore he has to pick card numbered 2 in round 2
  4. Cumulative score of Yasmin did not change in round 4. It implies she picked up card number 0 in round 4
  5. Zeeshan picked card numbered 2 in round 3
     


Since we know that Xavier picked a different card in every round, and in round 3 card numbered 0 and 5 are already picked. Then it implies that Xavier picked card numbered 1 in round 3, leaving card numbered 3 for Yasmin
Coming to Yasmin, her cumulative till round 3 was 9 and she picked card numbered 3 in round 3. Therefore the sum of card numbers picked by Yasmin is first 2 round is 6 which is possible only when she picked card 1 and 5, not necessarily in the same order. Therefore she picked card numbered 2 in round 5
Similarly, the cumulative score of Veena is also 6 after round 3 but she picked card number 0. She must have picked card numbered 1 and 5 in the first 2 rounds. Also her cumulative score increases by 7 in the last 2 rounds. It is only possible if she picked card numbered 2 and 5. But card numbered 2 is picked by Yasmin in round 5. Hence, Veena picked card numbered 2 in round 4 and card numbered 5 in round 5.


From above we can say that Xavier picked card-numbered 5 in round 4 and hence card numbered 0 in round 5
For Zeeshan, we are given that he had a cumulative score of 4 till round 3 and he has picked card numbered 2 at round 3. So either pick card numbered 1 in both rounds( rejected as we already deduced that the card numbered 1 is picked by Veena/Yasmin in first 2 round). Only other possibility is picking card numbered 0 and 2. Since Xavier picked card numbered 2 in round 2, Zeeshan has to pick it up in round 1.

We can now conclude that Wardhan picked 0 in round 1and 3 in round 2

Wardhan can pick 1 or 3 in round 5, whereas Veena can pick 1 or 5 in round 2. Since it is given that both are same we conclude Wardhan picked 1 in round 5 and Veena picked 1 in round 2. Updating the table accordingly

Since card numbered 1 is picked by different friend each time, Zeeshan will pick card numbered 4 in round 4. He'll pick card numbered 3 in round 5 and Wardhan will pick card numbered 3 in round 4. Final table looks as follows: 
 


4 friends will move on to play a round 6

CAT Mock Test- 9 (04/09/2022) - Question 35

Veena, Wardhan, Xavier, Yasmin and Zeeshan are playing in a card picking competition. In each round, there are 5 cards which are numbered 0,1,2,3, and 5. The backside of the cards is identical so none of the friends knows which card they are picking.  
The game consisted of 5 rounds in which each friend will come and randomly pick a card without replacing it. After 5 such rounds, the sum of the card number picked by the friend was calculated. If the total exceeds 10 or the friend has picked the card numbered 5 at least once, then those will be allowed to play in round 6. In round 6 the cards have to be returned back after picking thus allowing multiple friends to pick a card with the same number. 
In case the total score after round 6 is a tie, then another round will be played and it will continue till there is no tie. (If a friend is disqualified after round 5 then he will not be allowed to participate in bonus rounds)
The cumulative score of each friend after rounds is given below. Missing entry implies that the value is not known:

The following things are known for the first 5 rounds:
a) Each friend picked up card number 0 at least once
b) Xavier and Yasmin picked a different numbered card across the rounds. The other 3 friends repeated a previously picked card at least once
c) Card numbered 1 is always picked by a different friend in each round.
d) Card picked by Veena in round 2 is the same as the card picked by Wardhan in round 5

Q. Who picked up card numbered 1 in round 4?

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 35

Let us make a table with the known data first

  1. Xavier and Yasmin picked a different numbered card each time. Hence their total will be 0+1+2+3+5 = 11 irrespective of the order they pick the cards
  2. Wardhan cumulative score was 3 after round 2 and 8 after round 4. Thus Wardhan picked card numbered 5 in round 3
  3. Xavier picked card numbered 3 in round 1. Therefore he has to pick card numbered 2 in round 2
  4. Cumulative score of Yasmin did not change in round 4. It implies she picked up card number 0 in round 4
  5. Zeeshan picked card numbered 2 in round 3
     


Since we know that Xavier picked a different card in every round, and in round 3 card numbered 0 and 5 are already picked. Then it implies that Xavier picked card numbered 1 in round 3, leaving card numbered 3 for Yasmin
Coming to Yasmin, her cumulative till round 3 was 9 and she picked card numbered 3 in round 3. Therefore the sum of card numbers picked by Yasmin is first 2 round is 6 which is possible only when she picked card 1 and 5, not necessarily in the same order. Therefore she picked card numbered 2 in round 5
Similarly, the cumulative score of Veena is also 6 after round 3 but she picked card number 0. She must have picked card numbered 1 and 5 in the first 2 rounds. Also her cumulative score increases by 7 in the last 2 rounds. It is only possible if she picked card numbered 2 and 5. But card numbered 2 is picked by Yasmin in round 5. Hence, Veena picked card numbered 2 in round 4 and card numbered 5 in round 5.

From above we can say that Xavier picked card-numbered 5 in round 4 and hence card numbered 0 in round 5
For Zeeshan, we are given that he had a cumulative score of 4 till round 3 and he has picked card numbered 2 at round 3. So either pick card numbered 1 in both rounds( rejected as we already deduced that the card numbered 1 is picked by Veena/Yasmin in first 2 round). Only other possibility is picking card numbered 0 and 2. Since Xavier picked card numbered 2 in round 2, Zeeshan has to pick it up in round 1.

We can now conclude that Wardhan picked 0 in round 1and 3 in round 2

Wardhan can pick 1 or 3 in round 5, whereas Veena can pick 1 or 5 in round 2. Since it is given that both are same we conclude Wardhan picked 1 in round 5 and Veena picked 1 in round 2. Updating the table accordingly

Since card numbered 1 is picked by different friend each time, Zeeshan will pick card numbered 4 in round 4. He'll pick card numbered 3 in round 5 and Wardhan will pick card numbered 3 in round 4. Final table looks as follows: 

CAT Mock Test- 9 (04/09/2022) - Question 36

Veena, Wardhan, Xavier, Yasmin and Zeeshan are playing in a card picking competition. In each round, there are 5 cards which are numbered 0,1,2,3, and 5. The backside of the cards is identical so none of the friends knows which card they are picking.  
The game consisted of 5 rounds in which each friend will come and randomly pick a card without replacing it. After 5 such rounds, the sum of the card number picked by the friend was calculated. If the total exceeds 10 or the friend has picked the card numbered 5 at least once, then those will be allowed to play in round 6. In round 6 the cards have to be returned back after picking thus allowing multiple friends to pick a card with the same number. 
In case the total score after round 6 is a tie, then another round will be played and it will continue till there is no tie. (If a friend is disqualified after round 5 then he will not be allowed to participate in bonus rounds)
The cumulative score of each friend after rounds is given below. Missing entry implies that the value is not known:


The following things are known for the first 5 rounds:
a) Each friend picked up card number 0 at least once
b) Xavier and Yasmin picked a different numbered card across the rounds. The other 3 friends repeated a previously picked card at least once
c) Card numbered 1 is always picked by a different friend in each round.
d) Card picked by Veena in round 2 is the same as the card picked by Wardhan in round 5

Q. Which of the following can not be the cumulative score of Wardhan after round 6?

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 36

Let us make a table with the known data first

  1. Xavier and Yasmin picked a different numbered card each time. Hence their total will be 0+1+2+3+5 = 11 irrespective of the order they pick the cards
  2. Wardhan cumulative score was 3 after round 2 and 8 after round 4. Thus Wardhan picked card numbered 5 in round 3
  3. Xavier picked card numbered 3 in round 1. Therefore he has to pick card numbered 2 in round 2
  4. Cumulative score of Yasmin did not change in round 4. It implies she picked up card number 0 in round 4
  5. Zeeshan picked card numbered 2 in round 3
     


Since we know that Xavier picked a different card in every round, and in round 3 card numbered 0 and 5 are already picked. Then it implies that Xavier picked card numbered 1 in round 3, leaving card numbered 3 for Yasmin
Coming to Yasmin, her cumulative till round 3 was 9 and she picked card numbered 3 in round 3. Therefore the sum of card numbers picked by Yasmin is first 2 round is 6 which is possible only when she picked card 1 and 5, not necessarily in the same order. Therefore she picked card numbered 2 in round 5
Similarly, the cumulative score of Veena is also 6 after round 3 but she picked card number 0. She must have picked card numbered 1 and 5 in the first 2 rounds. Also her cumulative score increases by 7 in the last 2 rounds. It is only possible if she picked card numbered 2 and 5. But card numbered 2 is picked by Yasmin in round 5. Hence, Veena picked card numbered 2 in round 4 and card numbered 5 in round 5.


From above we can say that Xavier picked card-numbered 5 in round 4 and hence card numbered 0 in round 5
For Zeeshan, we are given that he had a cumulative score of 4 till round 3 and he has picked card numbered 2 at round 3. So either pick card numbered 1 in both rounds( rejected as we already deduced that the card numbered 1 is picked by Veena/Yasmin in first 2 round). Only other possibility is picking card numbered 0 and 2. Since Xavier picked card numbered 2 in round 2, Zeeshan has to pick it up in round 1.


We can now conclude that Wardhan picked 0 in round 1and 3 in round 2

Wardhan can pick 1 or 3 in round 5, whereas Veena can pick 1 or 5 in round 2. Since it is given that both are same we conclude Wardhan picked 1 in round 5 and Veena picked 1 in round 2. Updating the table accordingly


Since card numbered 1 is picked by different friend each time, Zeeshan will pick card numbered 4 in round 4. He'll pick card numbered 3 in round 5 and Wardhan will pick card numbered 3 in round 4. Final table looks as follows: 
 


Wardhan had a cumulative of 12 till round 5. For Wardhan's cumulative to be 16 he has to pick car number 4 which is not there. Hence it is not possible

CAT Mock Test- 9 (04/09/2022) - Question 37

Amrita (A), Babita (B), Clara (C) and Dave (D) were 4 friends playing a badminton tournament with some new rules. They played in such a way that everyone got a chance to play against the others exactly once in the first round. In the second round, however, the players with the two highest points in Round 1 played against each other. In case of a tie, the player who won the head on head match goes to the next round. The rules are mentioned below:

  1. Each game is played for a maximum of 3 sets and the player who wins two sets first wins the match. 
  2. Each set gets finished after a player scores a minimum of 21 points with a lead of 2 or more points. In a case when both the players reach 20 each, the first one to lead by 2 points wins the set.
  3. The difference between the net points scored and net points conceded in all the 3 sets of a match is termed as score difference (SD). If a player wins a match with a non-negative SD, the player gets 3 points. A winner with a negative SD will get 1 point. A loser with a non-negative SD will get 0 points and a loser with a negative SD will be penalised with 1 point.

The scores for some of the sets of the matches are given below. Some of the cells in the table is intentionally left blank. The points are read in the same order as the order mentioned in the match column. For eg. In the match between B and C, B scored 21, 18 and 21 points respectively.

The points table after round 1 is shown below. Some of the cells in the table is intentionally left blank.

Q. Who among the following definitely plays the final with B?

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 37

If we look at the points table carefully, we see that B scores 5 points, which is only possible with (1) 3+1+1 points or (2) 3+3-1 in 3 games. 

CASE 1: B scores 3+1+1
So, he must have won all the three games he played and he won one game with a positive SD and won two games with a negative SD. B has a positive SD in the match between B and C, where he scored (21+18+21)= 60 points and conceded (17+21+15)= 53 points. Therefore in the match between B and A and in that between B and D, B won with negative point difference. 
Also, we can see that in the match between A-D and C-D, the game ended in 2 sets with D and C winning respectively. Both won by positive SD.
So, we can fill the first table to some extent and it will look like:

Now, the points table reveal that C scored only 1 point in the entire match. With the help of the table shown above, C has already won 1 match with a positive SD and lost 1 against B with negative SD. Therefore, C must have scored 1 point with (3-1-1) points in three matches. Hence, C lost against A with a negative SD. The table will now look like:

Using this information, we can fill up the points table:
A won against C with positive SD (+3), lost against B with positive SD (0) and lost to D with negative SD (-1). Total points = 2.
D won against A with positive SD (3), lost to B with positive SD (0) and lost to C with negative SD (-1). Total points = 2. 

There is a tie between A and D. In the match between A and D, D was the winner. So, the next round will be played between D and B. 

CASE 2: B scores 3+3-1-

B wins only two games but with positive SD, which is possible only in the matches between A-B and B-C. Therefore, the match between B-D will be won by D with a positive SD, such that B gets -1.
In the match between A-D, D has already won with positive SD and in the match between C-D, C won with a positive SD.
So, C scores -1 in the match B-C, and 3 in the match C-D. Therefore, C scores -1 in the match A-C so that the total points scored by C becomes 1 and hence we get the table above.
The points scored by all the four players thus becomes:


Case 3- B scores 3+3-1: B scores 3 points with SD=0 in the match A-B.

In the match A-B, A gets 0 and B scores 3 points.
In A-C, A scores 3 and C scores -1.
In A-D, D scores 3 and A scores -1.
In B-C, B scores 3 and C scores -1.
In B-D, B scores -1 and D scores 3.
And in C-D, C scores 3 and D scores -1.
The points scored by all the four players thus becomes:

In all the three cases, B plays the final with D.

CAT Mock Test- 9 (04/09/2022) - Question 38

Amrita (A), Babita (B), Clara (C) and Dave (D) were 4 friends playing a badminton tournament with some new rules. They played in such a way that everyone got a chance to play against the others exactly once in the first round. In the second round, however, the players with the two highest points in Round 1 played against each other. In case of a tie, the player who won the head on head match goes to the next round. The rules are mentioned below:

  1. Each game is played for a maximum of 3 sets and the player who wins two sets first wins the match. 
  2. Each set gets finished after a player scores a minimum of 21 points with a lead of 2 or more points. In a case when both the players reach 20 each, the first one to lead by 2 points wins the set.
  3. The difference between the net points scored and net points conceded in all the 3 sets of a match is termed as score difference (SD). If a player wins a match with a non-negative SD, the player gets 3 points. A winner with a negative SD will get 1 point. A loser with a non-negative SD will get 0 points and a loser with a negative SD will be penalised with 1 point.

The scores for some of the sets of the matches are given below. Some of the cells in the table is intentionally left blank. The points are read in the same order as the order mentioned in the match column. For eg. In the match between B and C, B scored 21, 18 and 21 points respectively.


The points table after round 1 is shown below. Some of the cells in the table is intentionally left blank.

Q. What could be the possible score of the third set in the match between B and D?

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 38

If we look at the points table carefully, we see that B scores 5 points, which is only possible with (1) 3+1+1 points or (2) 3+3-1 in 3 games. 

CASE 1: B scores 3+1+1
So, he must have won all the three games he played and he won one game with a positive SD and won two games with a negative SD. B has a positive SD in the match between B and C, where he scored (21+18+21)= 60 points and conceded (17+21+15)= 53 points. Therefore in the match between B and A and in that between B and D, B won with negative point difference. 
Also, we can see that in the match between A-D and C-D, the game ended in 2 sets with D and C winning respectively. Both won by positive SD.
So, we can fill the first table to some extent and it will look like:

Now, the points table reveal that C scored only 1 point in the entire match. With the help of the table shown above, C has already won 1 match with a positive SD and lost 1 against B with negative SD. Therefore, C must have scored 1 point with (3-1-1) points in three matches. Hence, C lost against A with a negative SD. The table will now look like:

Using this information, we can fill up the points table:
A won against C with positive SD (+3), lost against B with positive SD (0) and lost to D with negative SD (-1). Total points = 2.
D won against A with positive SD (3), lost to B with positive SD (0) and lost to C with negative SD (-1). Total points = 2. 

There is a tie between A and D. In the match between A and D, D was the winner. So, the next round will be played between D and B. 

CASE 2: B scores 3+3-1-

B wins only two games but with positive SD, which is possible only in the matches between A-B and B-C. Therefore, the match between B-D will be won by D with a positive SD, such that B gets -1.
In the match between A-D, D has already won with positive SD and in the match between C-D, C won with a positive SD.
So, C scores -1 in the match B-C, and 3 in the match C-D. Therefore, C scores -1 in the match A-C so that the total points scored by C becomes 1 and hence we get the table above.
The points scored by all the four players thus becomes:


Case 3- B scores 3+3-1: B scores 3 points with SD=0 in the match A-B.

In the match A-B, A gets 0 and B scores 3 points.
In A-C, A scores 3 and C scores -1.
In A-D, D scores 3 and A scores -1.
In B-C, B scores 3 and C scores -1.
In B-D, B scores -1 and D scores 3.
And in C-D, C scores 3 and D scores -1.
The points scored by all the four players thus becomes:

In the options, we know that B wins the third set, hence we will look only at case 1.
Now, in the match between B and D, we found that B won the match but with a negative SD. To win the match, B has to score more than D in the third set. But to have a negative SD, the sum total of B's points must be less than that of D's.
Let the score be b-d in third set, 'b' scored by B and 'd' scored by D.
So, 10+21+b<21+14+d
⇒ b<d+4
⇒ b-d<4.
Only option B shows the score which satisfies this equation. 

CAT Mock Test- 9 (04/09/2022) - Question 39

Amrita (A), Babita (B), Clara (C) and Dave (D) were 4 friends playing a badminton tournament with some new rules. They played in such a way that everyone got a chance to play against the others exactly once in the first round. In the second round, however, the players with the two highest points in Round 1 played against each other. In case of a tie, the player who won the head on head match goes to the next round. The rules are mentioned below:

  1. Each game is played for a maximum of 3 sets and the player who wins two sets first wins the match. 
  2. Each set gets finished after a player scores a minimum of 21 points with a lead of 2 or more points. In a case when both the players reach 20 each, the first one to lead by 2 points wins the set.
  3. The difference between the net points scored and net points conceded in all the 3 sets of a match is termed as score difference (SD). If a player wins a match with a non-negative SD, the player gets 3 points. A winner with a negative SD will get 1 point. A loser with a non-negative SD will get 0 points and a loser with a negative SD will be penalised with 1 point.

The scores for some of the sets of the matches are given below. Some of the cells in the table is intentionally left blank. The points are read in the same order as the order mentioned in the match column. For eg. In the match between B and C, B scored 21, 18 and 21 points respectively.

The points table after round 1 is shown below. Some of the cells in the table is intentionally left blank.

Q. What could be the score of the second set in the match between A and C?

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 39

If we look at the points table carefully, we see that B scores 5 points, which is only possible with (1) 3+1+1 points or (2) 3+3-1 in 3 games. 

CASE 1: B scores 3+1+1
So, he must have won all the three games he played and he won one game with a positive SD and won two games with a negative SD. B has a positive SD in the match between B and C, where he scored (21+18+21)= 60 points and conceded (17+21+15)= 53 points. Therefore in the match between B and A and in that between B and D, B won with negative point difference. 
Also, we can see that in the match between A-D and C-D, the game ended in 2 sets with D and C winning respectively. Both won by positive SD.
So, we can fill the first table to some extent and it will look like:

Now, the points table reveal that C scored only 1 point in the entire match. With the help of the table shown above, C has already won 1 match with a positive SD and lost 1 against B with negative SD. Therefore, C must have scored 1 point with (3-1-1) points in three matches. Hence, C lost against A with a negative SD. The table will now look like:

Using this information, we can fill up the points table:
A won against C with positive SD (+3), lost against B with positive SD (0) and lost to D with negative SD (-1). Total points = 2.
D won against A with positive SD (3), lost to B with positive SD (0) and lost to C with negative SD (-1). Total points = 2. 

There is a tie between A and D. In the match between A and D, D was the winner. So, the next round will be played between D and B. 

CASE 2: B scores 3+3-1-

B wins only two games but with positive SD, which is possible only in the matches between A-B and B-C. Therefore, the match between B-D will be won by D with a positive SD, such that B gets -1.
In the match between A-D, D has already won with positive SD and in the match between C-D, C won with a positive SD.
So, C scores -1 in the match B-C, and 3 in the match C-D. Therefore, C scores -1 in the match A-C so that the total points scored by C becomes 1 and hence we get the table above.
The points scored by all the four players thus becomes:


Case 3- B scores 3+3-1: B scores 3 points with SD=0 in the match A-B.

In the match A-B, A gets 0 and B scores 3 points.
In A-C, A scores 3 and C scores -1.
In A-D, D scores 3 and A scores -1.
In B-C, B scores 3 and C scores -1.
In B-D, B scores -1 and D scores 3.
And in C-D, C scores 3 and D scores -1.
The points scored by all the four players thus becomes:

The match between A and C went on until the third set. This means that C must have won the second set. And the total points scored by C in the match must be less than that of A.
Let the score in the second set of the match be a-c, where A scored 'a' points and C scored 'c' points. 
24+a+21>22+c+16
⇒ 7+a>c
Or, c-a<7. C has to win against a with less than 7 points of SD in that set.
The only option that satisfies the conditions: (a) C wins second set (b) C wins by a margin of less than 7 points is option D. 

CAT Mock Test- 9 (04/09/2022) - Question 40

5 friends Anay, Bhola, Chintu, Dinu and Eshwar spend their entire salary on Rent, Groceries and Travel. The following graph shows the amount of money spent by each of the 5 friends on a particular expense as a percentage of the total amount of money spent by all of the 5 friends on a particular expense. For example, if the amount spend by all the friends on Rent is ‘R’ then the amount spent by Anay on rent is 0.26R. The total amount of money spent by exactly 3 friends is equal.

If the total amount spent on Rent is 10000 rupees then how much money did Dinu spent on Travelling?

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 40

Let R be the total amount spent by all the friends on Rent, G be the total amount spent by all the friends on Groceries and T be the total amount spent by all the friends on Travelling.
The given information in table form is as shown below:-

The total amount of money spent by exactly 3 friends is equal.
There are 10 possible combinations for this.
But as can be observed the amount spent by Anay, Bhola and Chintu on each of Rent, Groceries and Travel is greater than the amount spent by Eshwar on each of Rent, Groceries and Travel.
Thus, Amount of money spent by Eshwar cannot be equal to the amount of money spent by 2 other friends.
Thus, only 4 possible combinations now remain.
Out of these 4, the amount of money spent by Anay and Bhola on each of Rent, Groceries and Travel is greater than the amount spent by Dinu on each of Rent, Groceries and Travel
Thus, Amount of money spent by Dinu cannot be equal to the amount of money spent by 2 other friends.
Thus, the amount spent by Anay, Bhola and Chintu is equal.
Thus, 0.26R+0.24G+0.22T=0.22R+0.24G+0.24T
=> 0.04R = 0.02T
Thus, 2R=T
Also,
0.22R+0.24G+0.24T=0.18R+0.28G+0.24T
=> R=G
Thus, the table becomes:-

Thus, if R = 10000 then Dinu spent 0.36*1000 = 360 Rupees on Travelling.
Hence, option B is the correct answer.

CAT Mock Test- 9 (04/09/2022) - Question 41

5 friends Anay, Bhola, Chintu, Dinu and Eshwar spend their entire salary on Rent, Groceries and Travel. The following graph shows the amount of money spent by each of the 5 friends on a particular expense as a percentage of the total amount of money spent by all of the 5 friends on a particular expense. For example, if the amount spend by all the friends on Rent is ‘R’ then the amount spent by Anay on rent is 0.26R. The total amount of money spent by exactly 3 friends is equal.

What is the ratio of the amount spent by Chintu on Rent and the amount spent by Eshwar on Travelling?

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 41

Let R be the total amount spent by all the friends on Rent, G be the total amount spent by all the friends on Groceries and T be the total amount spent by all the friends on Travelling.
The given information in table form is as shown below:-

The total amount of money spent by exactly 3 friends is equal.
There are 10 possible combinations for this. 
But as can be observed the amount spent by Anay, Bhola and Chintu on each of Rent, Groceries and Travel is greater than the amount spent by Eshwar on each of Rent, Groceries and Travel.
Thus, Amount of money spent by Eshwar cannot be equal to the amount of money spent by 2 other friends.
Thus, only 4 possible combinations now remain.
Out of these 4, the amount of money spent by Anay and Bhola on each of Rent, Groceries and Travel is greater than the amount spent by Dinu on each of Rent, Groceries and Travel
Thus, Amount of money spent by Dinu cannot be equal to the amount of money spent by 2 other friends.
Thus, the amount spent by Anay, Bhola and Chintu is equal.
Thus, 0.26R+0.24G+0.22T=0.22R+0.24G+0.24T
=> 0.04R = 0.02T
Thus, 2R=T
Also, 0.22R+0.24G+0.24T=0.18R+0.28G+0.24T
=> R=G
Thus, the table becomes:-

Thus the required ratio is = 0.18R:0.24R = 3:4
ence, option D is the correct answer.

CAT Mock Test- 9 (04/09/2022) - Question 42

5 friends Anay, Bhola, Chintu, Dinu and Eshwar spend their entire salary on Rent, Groceries and Travel. The following graph shows the amount of money spent by each of the 5 friends on a particular expense as a percentage of the total amount of money spent by all of the 5 friends on a particular expense. For example, if the amount spend by all the friends on Rent is ‘R’ then the amount spent by Anay on rent is 0.26R. The total amount of money spent by exactly 3 friends is equal.

The amount spent on traveling is how much percent more than the amount spent on rent by all the friends combined?

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 42

Let R be the total amount spent by all the friends on Rent, G be the total amount spent by all the friends on Groceries and T be the total amount spent by all the friends on Travelling.
The given information in table form is as shown below:-

The total amount of money spent by exactly 3 friends is equal.
There are 10 possible combinations for this. 
But as can be observed the amount spent by Anay, Bhola and Chintu on each of Rent, Groceries and Travel is greater than the amount spent by Eshwar on each of Rent, Groceries and Travel.
Thus, Amount of money spent by Eshwar cannot be equal to the amount of money spent by 2 other friends.
Thus, only 4 possible combinations now remain.
Out of these 4, the amount of money spent by Anay and Bhola on each of Rent, Groceries and Travel is greater than the amount spent by Dinu on each of Rent, Groceries and Travel
Thus, Amount of money spent by Dinu cannot be equal to the amount of money spent by 2 other friends.
Thus, the amount spent by Anay, Bhola and Chintu is equal.
Thus, 0.26R+0.24G+0.22T=0.22R+0.24G+0.24T
=> 0.04R = 0.02T
Thus, 2R=T
Also, 0.22R+0.24G+0.24T=0.18R+0.28G+0.24T
=> R=G
Thus, the table becomes:-

Thus the amount spent on traveling is 100% is more than the amount spent on rent by all the friends combined 
Hence, the Option A is the correct option.

CAT Mock Test- 9 (04/09/2022) - Question 43

5 friends Anay, Bhola, Chintu, Dinu and Eshwar spend their entire salary on Rent, Groceries and Travel. The following graph shows the amount of money spent by each of the 5 friends on a particular expense as a percentage of the total amount of money spent by all of the 5 friends on a particular expense. For example, if the amount spend by all the friends on Rent is ‘R’ then the amount spent by Anay on rent is 0.26R. The total amount of money spent by exactly 3 friends is equal.

If the amount spent on Groceries is 90000 then what is the amount spent by Anay on Travelling?

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 43

Let R be the total amount spent by all the friends on Rent, G be the total amount spent by all the friends on Groceries and T be the total amount spent by all the friends on Travelling.
The given information in table form is as shown below:-

The total amount of money spent by exactly 3 friends is equal.
There are 10 possible combinations for this.
But as can be observed the amount spent by Anay, Bhola and Chintu on each of Rent, Groceries and Travel is greater than the amount spent by Eshwar on each of Rent, Groceries and Travel.
Thus, Amount of money spent by Eshwar cannot be equal to the amount of money spent by 2 other friends.
Thus, only 4 possible combinations now remain.
Out of these 4, the amount of money spent by Anay and Bhola on each of Rent, Groceries and Travel is greater than the amount spent by Dinu on each of Rent, Groceries and Travel
Thus, Amount of money spent by Dinu cannot be equal to the amount of money spent by 2 other friends.
Thus, the amount spent by Anay, Bhola and Chintu is equal.
Thus, 0.26R+0.24G+0.22T=0.22R+0.24G+0.24T
=> 0.04R = 0.02T
Thus, 2R=T
Also, 0.22R+0.24G+0.24T=0.18R+0.28G+0.24T
=> R=G
Thus, the table becomes:-

Thus, the amount spent by Anay on Travelling = 0.44*90000 = 39600 rupees
Hence, option A is the correct answer.

CAT Mock Test- 9 (04/09/2022) - Question 44

Eight delegates namely - Amit, Aman, Rajesh, Rakesh, Hitesh, Himesh, Naman and Nayan are seated in two concentric circles, with four person around each circle in such a manner that each member of inner circle sits exactly opposite to one of the members of the outer circle. Each of the delegates represents a different nation namely India, China, Japan, Russia, Nepal, Malaysia, France and Spain not necessarily in the same order. Further it is given that:
1. Amit, who is from Russia, faces the immediate neighbour of the person who is from Japan.
2. Naman is sitting second to left of Nayan and the delegates from Nepal and India are seated in different circles.
3. Rakesh is not from either China or Nepal and faces Naman, who is neither from Malaysia nor from Spain.
4. The delegate from France faces the delegate from India.
5.The members sitting in the outer circle are Hitesh, Himesh, Naman and Nayan and all of them are facing towards the centre.
6.The delegate who is from Malaysia is sitting immediate left of Nayan. Himesh, who is not from Japan, is not facing Amit.
7. The delegates from Malaysia and Spain are immediate neighbours and one of them is facing Aman, who is from China.
8. The delegates who are from France and Russia are seared in the same circle but they are not immediate neighbours.
9. The members sitting in the inner circle are Amit, Aman, Rajesh and Rakesh and all of them are facing away from the centre.

Which of the following is true about the delegate who is from Spain?

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 44

Let us first figure the nationality of delegates who are sitting in the same circle. 
Amit, Aman, Rajesh and Rakesh are seated in inner circle. Amit is from Russia.(From statement:1)
The delegates who are from France and Russia are seared in the same circle but they are not immediate neighbours. Hence, we can say that the delegate from France is seated in the inner circle. 
The delegates from Nepal and India are seated in different circles. Hence, we cay say that they sit in different circle. Moreover, the delegate from France faces the delegate from India. Hence we can say that the delegate from Nepal sit in inner circle. 
From statement 6, we can see that the delegate from Aman is from China. Hence we can say that the delegates who are seated in the inner circle belong to France, Russia, Nepal and China. Consequently the delegates who are seated in the inner circle belong to India, Malaysia, Spain and Japan. 
Among the delegates who are seated in the inner circle, we know about the Amit and Aman's nationality. According to statement 3, Rakesh is not from Nepal. Hence, we can say that he is from France. Consequently we can say that Rajesh is from Nepal. 
In statement (2), it is given that Naman is sitting second to left of Nayan and the delegates. Hence, we can say that Naman and Nayan sit diametrically opposite to each other in the outer circle. The delegate from France faces the delegate from India. Hence, we can say that Naman is from India. .
The delegate who is from Malaysia is sitting immediate left of Nayan.

The delegates who are from France and Russia are seared in the same circle but they are not immediate neighbours. Hence, we can say that the delegate from Russia is sitting opposite to Nayan. From statement 1, we can say that the person seated immediate right to Nayan is from Japan. Hence, we can say that Nayan is from Spain.

In statement 6, it is given that Himesh is not from Japan. Hence, we can say that Hitesh is from Japan and Himesh is from Malaysia. Also from statement 7, we  can say that Himesh faces Aman, who is from China. Consequently Hitesh faces Rajesh, who is from Nepal.

From the arrangement we can the delegate from Spain faces the delegate from Russia. Hence, option A is the correct answer. 

*Answer can only contain numeric values
CAT Mock Test- 9 (04/09/2022) - Question 45

The average of a group of 11 distinct positive integers is 57. If the average of the smallest 6 integers is 23, what is the maximum possible value of the largest integer?


Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 45

Average of 11 integers = 57
Sum of 11 integers = 57 * 11 = 627
Average of the smallest 6 integers = 23
Sum of the smallest 6 integers = 23 * 6 = 138
Sum of the other 5 integers = 627 - 138 = 489
To maximise the largest integer, all other integers must be minimised.
So, the least 6 integers must be (20, 21, 22, 24, 25, 26)
Other four integers must be 27, 28, 29, 30
Thus, the largest integer can be 489 - (27 + 28 + 29 + 30) = 375

Hence, 375 is the correct answer.

CAT Mock Test- 9 (04/09/2022) - Question 46

Head & Clear Shampoo is packed in bottles of 100 ml, 250 ml and 1 litre and they cost Rs 50, Rs 100 and Rs 300 respectively. If Seema bought at least one bottle of each type, what can be the maximum possible difference in the total cost of shampoo if she bought exactly 3.5 litres of shampoo?

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 46

It is given that,
Price of 100 ml bottle is Rs 50.
Price of 250 ml bottle Rs 100.
Price of 1 litre bottle Rs 300.
So price per ml of shampoo is highest for 100 ml bottle and lowest for 1 litre bottle.
In order to maximise the price of 3.5 litres of shampoo she will buy maximum possible 100 ml bottles.
It is given that Seema bought one bottle of each type. So she had bought 1 litre +250 ml+100 ml = 1350 ml of shampoo for 450 Rs. In order to maximize the price she will buy 100ml bottles but she cannot buy exact 3.5 litre of shampoo only with 100 ml bottles.
So she will buy
1litre x 1 = 1000ml
250ml x 2 = 500ml
100ml x 20 = 2000ml.
The amount she will pay = 1x300 + 2x100 + 20x50 = Rs 1500 
In order to minimize the price she will buy maximum possible 1l bottles. 
So she bought 
1lt x 2 = 2000ml
250ml x4 = 1000ml
100mlx5 = 500ml.
Total = 3.5lt
The amount she will pay = 2x300 + 4x100 + 5x50 = Rs 1250 
The difference = 1500-1250 = Rs 250

CAT Mock Test- 9 (04/09/2022) - Question 47

There are three solutions, A, B and C containing alcohol and water. The strength of the three solutions are 80%, 90% and 70% respectively. When 1 litre each of A and B is mixed with C, the strength of C increases to 75%. What would be the strength of C if two litres of A and 0.5 litres of B were mixed with C?

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 47

Let the volume of C be x litres.
As the strengths of A and B are 80% and 90%, by mixing 1 litre each of A and B with C, we are adding 800 ml and 900 ml respectively of alcohol to C.
The strength of C is 70% which increases to 75%.
So, the new strength = 75%

On solving, we get x = 4 litres
So, alcohol present in C = 70% of 4 litres = 2.8 litres
In the second case, total alcohol added = (1.6 + 0.45) litres = 2.05 litres

Hence, option A is the correct answer.

CAT Mock Test- 9 (04/09/2022) - Question 48

If A,B and C are the angles of a triangle and a,b,c are the corresponding sides, then the equations (sin A + sin B)x+(sin B + sin C)y+sin C + sin A = 0 and (a+b)x + (b+c)y+c+a = 0 have

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 48

(sin A + sin B)x+(sin B + sin C)y+sin C + sin A = 0 -- Eq (1)
(a+b)x+(b+c)y+c+a = 0 -- Eq (2)
In a triangle, a/sin A = b/sin B = c/sin C = 2R where R is the circumradii
sin A = a/2R, sin B = b/2R, sin C = c/2R
On substituting the values in (sin A + sin B)x+(sin B + sin C)y+sin C + sin A = 0, we get
(a+b)x+(b+c)y+c+a = 0          
which is same as Eq 2
Hence the equations will have infinite solutions.

CAT Mock Test- 9 (04/09/2022) - Question 49

A cube is painted and then cut into 1000 smaller cubes of equal size. What is the number of small cubes which have exactly one face painted?

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 49

The number of small cubes on one face of the big cube = 10*10 = 100. Out of these, the number of cubes which do not belong to the boundary = 100-(10+10+8+8) = 100-36 = 64. All these 64 cubes on one face of the big cube have exactly one face painted. The total number of such cubes on all the faces is 64*6 = 384.

*Answer can only contain numeric values
CAT Mock Test- 9 (04/09/2022) - Question 50

What is the maximum number of acute interior angles that a 12 sided closed figure can enclose?


Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 50

The total angle enclosed by a closed polygon is (n-2)*180.
Hence, a 12 sided polygon will enclose 1800.
For an angle to be acute, it has to be less than 90. Hence, we will use 90∘ for the ease of calculation.
If all 12 are acute angles, then the sum of angles will be 12*90∘ = 1080.
This case is not possible.
If 11 of them are acute and 1 is obtuse, then 11*90∘ + obtuse angle = 1800.
⇒ The measure of the obtuse angle is 810. But, angle enclosed by a polygon cannot be greater than 360. Hence, this case is also not possible.
If 10 angles are acute, the sum of the 2 obtuse angles will be 900. The measure of the obtuse angle = 450.
Hence, this case is also not possible.
If 9 angles are acute, the sum of the remaining 3 obtuse angles will be 1800∘ - 810∘ = 990.
The measure of the obtuse angle can be 990 /3 = 330.
Hence, this case is possible.
Hence, the maximum number of acute angles possible is 9.

CAT Mock Test- 9 (04/09/2022) - Question 51

The difference between the lengths of the inradius and circumradius of a right-angled triangle is equal to a fourth of the length of the hypotenuse of the triangle. A square is constructed using the hypotenuse of the triangle as the base. What is the ratio of the areas of the triangle and the square?

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 51

We know that the length of the inradius of a right-angled triangle is given by the formula (a+b-h)/2 , where aa and bb are the lengths of the arms of the triangle and hh is the length of the hypotenuse of the triangle.
Also, we know that the length of the circumradius of a right-angled triangle is h/2.
Circumradius of a triangle is always greater than its inradius.

Squaring on both sides, we get,

We know that in a right-angled triangle, a2 + b2 = h2.
Substituting in (1), we get,

We know that the area of the triangle is ab/2.
Area of the square = h2.
Ratio of the areas of the triangle and the square

Therefore, option D is the right answer.
Alternate solution:
Let 'R' be the circumradius of the triangle and 'r' be the inradius.
For a right-angled triangle, area = r(r+2R)
It has been given that difference between the lengths of circumradius and inradius is equal to one-fourth the hypotenuse of the triangle. 
Hypotenuse = 2*circumradius
⇒ R - r = R/2
R = 2r
Area of the triangle = r(r + 2 * 2r)= 5r2
Area of the square = (2R)2 = (2*2r)2 = 16r2
Therefore, the required ratio is 5:16.

*Answer can only contain numeric values
CAT Mock Test- 9 (04/09/2022) - Question 52

An isosceles right-angled triangle PQR is drawn inside an equilateral triangle ABC such that the circumcircle of PQR is the incircle of ABC. If the area of the triangle PQR is 27 cm2cm , what is the length of side CA (in cm)?


Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 52


 

Let aa be the side of the equilateral triangle.
In-radius of an equilateral triangle = a/2√3.
It has been given that the incircle of the equilateral triangle = circumcircle of the right-angled triangle. 
⇒ Circumradius of the right-angled triangle = a/2√3.
Area of the right-angled triangle = 0.5*b*h.
It has been given that the right-angled triangle is isosceles. Therefore, the altitude of the triangle will be the same as the circumradius of the triangle. The length of the base will be twice the circumradius.
Area of triangle PQR 

= a2/12
It has been given that a2/12 = 27

Length of side CA = 1818 cm. Therefore, 18 is the right answer.

CAT Mock Test- 9 (04/09/2022) - Question 53

A line passing through the point (3,0) divided the rectangle formed by lines |y - 4| = 2 and |x - 6| = 3 into two congruent parts. If the slope of the line is a/b and a,b are co-primes, the value of a+b is equal to

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 53


The coordinates of the rectangle are (3,2),(9,2),(3,6) and (9,6).
The line dividing it in two congruent parts should pass through the central point of the rectangle (3 + 9)/2 = 6 and (2 + 6)/2 = 4 i.e (6,4)
The slope of the line passing through (3,0) and (6,4) = 4/3 = a/b
a + b = 4 + 3 = 7

CAT Mock Test- 9 (04/09/2022) - Question 54

What is the total number of positive integral solution of [x/7] = [x/9], where [a] denotes the greatest integer less than or equal to a?

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 54

Consider [x/7] = [x/9] = 0 
[x/7] = 0  ⇒ 0  ≤ x/7 < 1  ⇒ 0 ≤ x < 7 and [x/9] = 0 ⇒ 0 ≤ x/9 < 1  ⇒ 0 ≤ x < 9
x ϵ [0,7) ∩ [0,9) i.e.1,2,3,4,5,6 (6 integral values)
Consider [x/7] = [x/9] = 1 
[x/7] = 1 ⇒ 1 ≤ x/7 < 2  ⇒ 7 ≤ x < 14 and [x/9] = 1 ⇒ 1 ≤ x/9 < 2  ⇒ 9 ≤ x < 18
x ϵ [7,14) ∩ [9,18) i.e. 9,10,11,12,13 (5 integral values)
Consider [x/7] = [x/9] = 2
[x/7] = 2  ⇒ 2 ≤ x/7 < 3  ⇒ 14 ≤ x <21 and  [x/9] = 0 ⇒ 2 ≤ x/9 < 3  ⇒ 18 ≤ x < 27
x ϵ [14,21) ∩ [18,27) i.e. 18,19,20 (3 integral values)
Consider [x/7] = [x/9] = 3
[x/7] = 3  ⇒ 3 ≤ x/7 < 4  ⇒ 21 ≤ x < 28 and  [x/9] = 0  ⇒ 3 ≤ x/9 < 4  ⇒ 27 ≤ x < 36
x ϵ [21,28) ∩ [27,36) i.e. 27 (1 integral values)
Consider [x/7] = [x/9] = 4
[x/7] = 4  ⇒ 4 ≤ x/7 < 5  ⇒ 28 ≤ x < 35 and  [x/9] = 4  ⇒ 36 ≤ x/9 < 45  ⇒ 36≤x<45
x ϵ [28,35) ∩ [36,45)  (No integral values)
Total values = 6+5+3+1=15

CAT Mock Test- 9 (04/09/2022) - Question 55

If |x + 1| < 6 and |y - 1| < 6 where x, y are integers, what can be the maximum value of x2 + y2 - xy

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 55

We have, |x + 1| < 6 and |y - 1| < 6
|x + 1| < 6   ⇒ -6 < x + 1 < 6  ⇒  -7 < x < 5
|y - 1| < 6 ⇒ -6 < y - 1 < 6 ⇒ -5 < y < 7.
Since x2 + yis positive, the value will be maximized when xy is negative.
The highest negative value of x = -6 and highest positive value of y is 6.
Hence the maximum value of x2 + y2 - xy will be (-6)2 + (6)2 - (-6) = 108 

*Answer can only contain numeric values
CAT Mock Test- 9 (04/09/2022) - Question 56

The cost of 4 pens, 10 pencils and 14 erasers at a stationery shop is Rs 120. At the same shop, the cost of 6 pens and 10 erasers is Rs 60 more than 12 pencils. By how much amount (in Rs.) does the cost of 78 pencils and 2 erasers exceed the cost of 12 pens?


Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 56

Let the cost of a pen be x, the cost of a pencil be y and the cost of an eraser be z.
4x + 10y + 14z = 120
⇒ 2x + 5y + 7z = 60 → (1)
6x + 10z = 60 + 12y
⇒ 6x - 12y + 10z = 60
⇒ 3x - 6y + 5z = 30 → (2)
We need the value of 78y + 2z - 12x = 2*(-6x + 39y + z)
3*(1) - 4*(2) gives 6x + 15y + 21z - 12x + 24y - 20z = 180 - 120
⇒ -6x + 39y + z = 60
So, the required value is 2*60 = 120

CAT Mock Test- 9 (04/09/2022) - Question 57

x and y are integers such that, log16(x + y) + log16(x - y) = 1. Find the maximum value of |x - y|

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 57

Since, log16(x+y) + log16(x - y) = 1
⇒ x2 - y2 = 16
⇒ (x + y) (x - y) = 16
Negative values of (x + y) and (x - y) are not possible since logarithm of negative value is undefined.
Therefore, x and y can be
Case 1:
⇒ x + y = 2 and x - y = 8 ⇒ (x, y) = (5, -3)
Case 2:
⇒ x + y = 8 and x - y = 2 ⇒ (x, y) = (5, 3)
Case 3:
⇒ x + y = 4 and x - y = 4 ⇒ (x, y) = (4, 0)
Plugging (5, -3)(5, −3) in |x - y| gives |5-(-3)| = 8
Therefore, option B is correct

CAT Mock Test- 9 (04/09/2022) - Question 58

Determine the value of a x b if log27 a + log9 b3 = 13 and log27 b + log9 a3 = 9.

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 58

Using logarithm formula,



⇒ Multiplying (1) and (2), we get
(ab)11/6 = 322  
⇒ ab = 312 = 81*81*81 = 531441 (Using cyclicity, among given options, A is the answer)

*Answer can only contain numeric values
CAT Mock Test- 9 (04/09/2022) - Question 59

What is the number of perfect cubes that can be represented as a 4-digit number in base 5?


Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 59

The smallest 4 digit number in base 5 = (1000)5 = (125)10
The largest 4 digit number in base 5 = (4444)5 = (624)10
The number of perfect cubes between 125 and 624 is 4 i.e 125, 216, 343, 512
4 is the correct answer.,

CAT Mock Test- 9 (04/09/2022) - Question 60

What is the probability that two 1 x 1 squares on an 8 x 8 chessboard don’t have a common side between them?

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 60

Let two squares are selected horizontally which have a side common.
In a row, there can be 7 ways such that two squares have a side common.
Therefore, number of ways to select two horizontal squares with a side common = 7 x 8 = 56 ways
Similarly, two squares are selected vertically which have a side common.
In a column, there can be 7 ways such that two squares have a side common.
Therefore, number of ways to select two vertical squares with a side common = 7 x 8 = 56 ways
Total number of ways to select squares with a common side = (56 + 56) ways = 112 ways
Ways to select two squares = 64C2 = (63 x 32)ways
Probability to select two squares with common side 

Probability to select two squares with no common side 

Correct Option is B

CAT Mock Test- 9 (04/09/2022) - Question 61

Milkman Indravadan is planning to sell Rabdi. He bought milk at the rate of Rs 30/kg and sugar at the rate of Rs 50/kg and mixed them in a ratio of 5:4. He then cooks the mixture for several hours during which some of the water got evaporated. In the new mixture ’Rabdi’, the ratio of milk to sugar is 4:5. At approximately what price (per kg) should he sell this Rabdi so as to earn a profit of 20% on the whole transaction?

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 61

In the initial mixture, milk: water = 5:4 which becomes 4:5 after cooking. Assume that he mixed 25 kg of milk with 20 kg of sugar initially.
The cost price for this 45 kg mixture to Indravadan= 25 x 30 + 50 x 20 = Rs1750
To earn 20% discount on this investment, his total selling amount should be 1.2 x 1750 = Rs 2100
Now after cooking, the new ratio is 4:5. Since the sugar amount remains the same i.e. 20 kg, the milk content after reduction will be 16 kg.
Thus, the total weight will be 36kg.
He wants to sell this 36kg for Rs 2100.
Thus, the selling price per kg is 2100/36 = Rs 58.33.

*Answer can only contain numeric values
CAT Mock Test- 9 (04/09/2022) - Question 62

The selling price of 16 pens is the same the cost price of 25 pens. If the total discount offered on 50 pens is the same as the selling price of 14 pens then find out the markup percentage.


Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 62

Let '100x' be the seeing price of 1 pen. It is given that selling price of 16 pens is the same the cost price of 25 pens.
Hence, the cost price of 1 pen

Total discount offered on 50 pens is the same as the selling price of 14 pens. 
Hence, the discount offered on 1 pen 

Therefore, the marked up price of 1 pen = 100x + 28x = 128x 
Hence, markup percentage

*Answer can only contain numeric values
CAT Mock Test- 9 (04/09/2022) - Question 63

How many factors of 840 are multiples of 5 but not of 8?


Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 63

840=23 x 31 x 51 x 71
The required factor should
not contain 23 and must contain 5.
The numbers of ways of using 2 are 20, 21, 22
The numbers of ways of using 3 are 30, 31
The number of ways of using 5 is 51
The numbers of ways of using 7 are 70, 71
Hence required number of factors = 3 x 2 x 1 x 2 = 12

*Answer can only contain numeric values
CAT Mock Test- 9 (04/09/2022) - Question 64

An arithmetic progression consists of an even number of terms. The sum of its odd terms is 50 whereas the sum of its even terms is 56. Find the number of terms in the series if the last term of the series exceeds the first term by 11.25.


Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 64

Let '2n', 'd' be the total number of terms and common difference in the series then,

By subtracting equation (1) from equation (2)

⇒ n*d = 6 ... (3)  

It is given that T2n - T1 = 11.25

From equations (3) and(4),

Hence total number of terms in the given series = 2n = 2*8 = 16. 

CAT Mock Test- 9 (04/09/2022) - Question 65

Three times the third term of an AP is equal to six times the sixth term. What is the first term?

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 65

It is given that, 3(a + 2d) = 6(a + 5d)
Solving this, we get a = -8d
Four times the fourth term = 4(a + 3d) = -20d
Seven times the seventh term = 7(a + 6d) = -14d
Eight times the eighth term = 8(a + 7d) = -8d
Ten times the tenth term = 10(a + 9d) = 10d
So, eight times the eighth term is equal to first term
Hence, option C is correct.

CAT Mock Test- 9 (04/09/2022) - Question 66

If (7xy)/(x+y) = 12 , (9yz)/(y+z) = 20, (8zx/z+x) = 15. Then 1/x , 1/y , 1/z are in

Detailed Solution for CAT Mock Test- 9 (04/09/2022) - Question 66


Subtracting Eq1, Eq2 and Eq 3 from Eq 4 we get..


They are in HP. Hence B is the correct answer.

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