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CAT Mock Test - 18 (06/11/2022)


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CAT Mock Test - 18 (06/11/2022) - Question 1

Read the following passage carefully and answer the questions that follow.

With the recent spate of firms in the news over sexual harassment, allegations and charges of gender bias, it is obvious that an issue many in business had thought was "done" is instead far from finished. A lot of companies are doubling down on efforts to finally "crack" the gender issue.

Most companies now have more gender-balanced talent pools, especially at the early-to-mid-career levels, and are looking for ways to make sure progress continues at the mid-to-upper levels. But the ones who really understand the issue see gender balance as not just a numbers game but part of a broader, more strategic cultural shift that includes developing leadership teams representing geographically diffuse markets. These leaders are recognizing that this balance drives the innovation and market understanding they need for other key business transformations. Without balance, they simply won't understand the world that's emerging.

Dutch-based Royal DSM is a case study of multiple parallel transformations - in their business and in their leadership balance. The CEO is convinced that the one feeds the other. "I'm absolutely convinced that the evolving balance of the top management team is a key factor in our success and our ability to change," Feike Sijbesma, the 57-year-old CEO of Royal DSM, the $8 billion, global company active in health, nutrition and materials science, said.

Most companies have a very broad definition of "diversity," which can make implementing change and measuring progress a challenge. What will success look like? What indicators will you track? Where is the business imperative? They tend to frame gender as one diversity dimension among many. This makes it near-impossible to invest the time and management focus needed to effectively adapt to a gender balanced workforce and customer base. And research has shown that different approaches are often needed to foster gender balance, as opposed to other diversity dimensions.

DSM prioritized two diversity dimensions, transparently and strategically: the nationality and gender balance of their management. "We looked at all the research," Sijbesma explains, "and it was clear that these were the two factors that had, by far, the biggest impact on the bottom line."

To further its objective, DSM moved away from having a single global headquarters in Heerlen, and based different functions in each region (Singapore, Shanghai, New Jersey, and Basel). "This means that instead of having all the top 50 executives in the Netherlands (which isn't very attractive to top talent from China, the U.S., or Brazil), we have global hubs that provide equal leadership expertise to more nationalities. offer interesting jobs in a variety of locations."

Companies are starting to acknowledge the pervasiveness of bias, as the proliferation of unconscious bias training for middle managers demonstrates. While these are laudable efforts, the research shows they can backfire. People are tired of what they see as "identity politics" and most don't appreciate being called biased. Moreover, emphasizing that "everyone is a little bit biased," as trainings often do, can make bias seem understandable and acceptable, and inadvertently reinforce negative stereotypes. A subtle but impactful alternative is to make "managing across differences" a vaunted leadership skill. If you visibly promote and reward those who do it well, actions speak louder than unmet gender targets.

The pieces all fit together: a compelling vision helps get your core constituency on board, and training them in inclusion skills helps them execute on it. "People are not discriminatory," says Sijbesma, "sometimes they are simply unaware and unskilled." He has learned that the "myopia of dominant groups to see their standards as normal" is a key obstacle. Building awareness, engagement and skills has allowed him to build balance, fuel innovation and stimulate growth. He's celebrating, and DSM is flourishing. In 115 years of existence, its profits have never been so high, nor its share price so strong.

Q. It can be inferred from the passage that when the author says "crack" the gender issue, he means which of the following?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 1 A is incorrect as the author in the first paragraph criticises the system of understanding gender balance simply as a numbers game. C is incorrect as this forms part of the gender issue, but does not represent the entirety of it. D is incorrect as this is nowhere mentioned or implied in the passage. B is the right answer, as the previous few lines talk about sexual harassment and how nothing has been done to ensure safety of women in the workplace. So, going along the same context, B falls best in line, and is the right answer.
CAT Mock Test - 18 (06/11/2022) - Question 2

Read the following passage carefully and answer the questions that follow.

With the recent spate of firms in the news over sexual harassment, allegations and charges of gender bias, it is obvious that an issue many in business had thought was "done" is instead far from finished. A lot of companies are doubling down on efforts to finally "crack" the gender issue.

Most companies now have more gender-balanced talent pools, especially at the early-to-mid-career levels, and are looking for ways to make sure progress continues at the mid-to-upper levels. But the ones who really understand the issue see gender balance as not just a numbers game but part of a broader, more strategic cultural shift that includes developing leadership teams representing geographically diffuse markets. These leaders are recognizing that this balance drives the innovation and market understanding they need for other key business transformations. Without balance, they simply won't understand the world that's emerging.

Dutch-based Royal DSM is a case study of multiple parallel transformations - in their business and in their leadership balance. The CEO is convinced that the one feeds the other. "I'm absolutely convinced that the evolving balance of the top management team is a key factor in our success and our ability to change," Feike Sijbesma, the 57-year-old CEO of Royal DSM, the $8 billion, global company active in health, nutrition and materials science, said.

Most companies have a very broad definition of "diversity," which can make implementing change and measuring progress a challenge. What will success look like? What indicators will you track? Where is the business imperative? They tend to frame gender as one diversity dimension among many. This makes it near-impossible to invest the time and management focus needed to effectively adapt to a gender balanced workforce and customer base. And research has shown that different approaches are often needed to foster gender balance, as opposed to other diversity dimensions.

DSM prioritized two diversity dimensions, transparently and strategically: the nationality and gender balance of their management. "We looked at all the research," Sijbesma explains, "and it was clear that these were the two factors that had, by far, the biggest impact on the bottom line."

To further its objective, DSM moved away from having a single global headquarters in Heerlen, and based different functions in each region (Singapore, Shanghai, New Jersey, and Basel). "This means that instead of having all the top 50 executives in the Netherlands (which isn't very attractive to top talent from China, the U.S., or Brazil), we have global hubs that provide equal leadership expertise to more nationalities. offer interesting jobs in a variety of locations."

Companies are starting to acknowledge the pervasiveness of bias, as the proliferation of unconscious bias training for middle managers demonstrates. While these are laudable efforts, the research shows they can backfire. People are tired of what they see as "identity politics" and most don't appreciate being called biased. Moreover, emphasizing that "everyone is a little bit biased," as trainings often do, can make bias seem understandable and acceptable, and inadvertently reinforce negative stereotypes. A subtle but impactful alternative is to make "managing across differences" a vaunted leadership skill. If you visibly promote and reward those who do it well, actions speak louder than unmet gender targets.

The pieces all fit together: a compelling vision helps get your core constituency on board, and training them in inclusion skills helps them execute on it. "People are not discriminatory," says Sijbesma, "sometimes they are simply unaware and unskilled." He has learned that the "myopia of dominant groups to see their standards as normal" is a key obstacle. Building awareness, engagement and skills has allowed him to build balance, fuel innovation and stimulate growth. He's celebrating, and DSM is flourishing. In 115 years of existence, its profits have never been so high, nor its share price so strong.

Q. It can be deduced that the sentence: 'myopia of dominant groups to see their standards as normal', means which of the following?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 2 'Myopia' refers to short sightedness or a limit in perception. A is incorrect as it implies that dominant groups see themselves as superior to others, which is not the essence of this sentence. B is incorrect as it is an overstatement; the parent sentence does not imply this. D is incorrect as the sentence does not talk about overlooking the needs and rights of others. C is the right answer, as the sentence implies that dominant groups tend to consider their own standards as normal or the benchmark which everyone is expected to follow.
CAT Mock Test - 18 (06/11/2022) - Question 3

Read the following passage carefully and answer the questions that follow.

With the recent spate of firms in the news over sexual harassment, allegations and charges of gender bias, it is obvious that an issue many in business had thought was "done" is instead far from finished. A lot of companies are doubling down on efforts to finally "crack" the gender issue.

Most companies now have more gender-balanced talent pools, especially at the early-to-mid-career levels, and are looking for ways to make sure progress continues at the mid-to-upper levels. But the ones who really understand the issue see gender balance as not just a numbers game but part of a broader, more strategic cultural shift that includes developing leadership teams representing geographically diffuse markets. These leaders are recognizing that this balance drives the innovation and market understanding they need for other key business transformations. Without balance, they simply won't understand the world that's emerging.

Dutch-based Royal DSM is a case study of multiple parallel transformations - in their business and in their leadership balance. The CEO is convinced that the one feeds the other. "I'm absolutely convinced that the evolving balance of the top management team is a key factor in our success and our ability to change," Feike Sijbesma, the 57-year-old CEO of Royal DSM, the $8 billion, global company active in health, nutrition and materials science, said.

Most companies have a very broad definition of "diversity," which can make implementing change and measuring progress a challenge. What will success look like? What indicators will you track? Where is the business imperative? They tend to frame gender as one diversity dimension among many. This makes it near-impossible to invest the time and management focus needed to effectively adapt to a gender balanced workforce and customer base. And research has shown that different approaches are often needed to foster gender balance, as opposed to other diversity dimensions.

DSM prioritized two diversity dimensions, transparently and strategically: the nationality and gender balance of their management. "We looked at all the research," Sijbesma explains, "and it was clear that these were the two factors that had, by far, the biggest impact on the bottom line."

To further its objective, DSM moved away from having a single global headquarters in Heerlen, and based different functions in each region (Singapore, Shanghai, New Jersey, and Basel). "This means that instead of having all the top 50 executives in the Netherlands (which isn't very attractive to top talent from China, the U.S., or Brazil), we have global hubs that provide equal leadership expertise to more nationalities. offer interesting jobs in a variety of locations."

Companies are starting to acknowledge the pervasiveness of bias, as the proliferation of unconscious bias training for middle managers demonstrates. While these are laudable efforts, the research shows they can backfire. People are tired of what they see as "identity politics" and most don't appreciate being called biased. Moreover, emphasizing that "everyone is a little bit biased," as trainings often do, can make bias seem understandable and acceptable, and inadvertently reinforce negative stereotypes. A subtle but impactful alternative is to make "managing across differences" a vaunted leadership skill. If you visibly promote and reward those who do it well, actions speak louder than unmet gender targets.

The pieces all fit together: a compelling vision helps get your core constituency on board, and training them in inclusion skills helps them execute on it. "People are not discriminatory," says Sijbesma, "sometimes they are simply unaware and unskilled." He has learned that the "myopia of dominant groups to see their standards as normal" is a key obstacle. Building awareness, engagement and skills has allowed him to build balance, fuel innovation and stimulate growth. He's celebrating, and DSM is flourishing. In 115 years of existence, its profits have never been so high, nor its share price so strong.

Q. Which of the following best describes the tone of the author in the passage?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 3 A is incorrect as the author does not perform any analyses in the passage. B is incorrect as the author is neither biased, nor narrow-minded regarding his discussion on the topic. C is incorrect as the author does not narrate an experience or story. D is the right answer, as the author uses one example of illustrate a particular issue.
CAT Mock Test - 18 (06/11/2022) - Question 4

Read the following passage carefully and answer the questions that follow.

With the recent spate of firms in the news over sexual harassment, allegations and charges of gender bias, it is obvious that an issue many in business had thought was "done" is instead far from finished. A lot of companies are doubling down on efforts to finally "crack" the gender issue.

Most companies now have more gender-balanced talent pools, especially at the early-to-mid-career levels, and are looking for ways to make sure progress continues at the mid-to-upper levels. But the ones who really understand the issue see gender balance as not just a numbers game but part of a broader, more strategic cultural shift that includes developing leadership teams representing geographically diffuse markets. These leaders are recognizing that this balance drives the innovation and market understanding they need for other key business transformations. Without balance, they simply won't understand the world that's emerging.

Dutch-based Royal DSM is a case study of multiple parallel transformations - in their business and in their leadership balance. The CEO is convinced that the one feeds the other. "I'm absolutely convinced that the evolving balance of the top management team is a key factor in our success and our ability to change," Feike Sijbesma, the 57-year-old CEO of Royal DSM, the $8 billion, global company active in health, nutrition and materials science, said.

Most companies have a very broad definition of "diversity," which can make implementing change and measuring progress a challenge. What will success look like? What indicators will you track? Where is the business imperative? They tend to frame gender as one diversity dimension among many. This makes it near-impossible to invest the time and management focus needed to effectively adapt to a gender balanced workforce and customer base. And research has shown that different approaches are often needed to foster gender balance, as opposed to other diversity dimensions.

DSM prioritized two diversity dimensions, transparently and strategically: the nationality and gender balance of their management. "We looked at all the research," Sijbesma explains, "and it was clear that these were the two factors that had, by far, the biggest impact on the bottom line."

To further its objective, DSM moved away from having a single global headquarters in Heerlen, and based different functions in each region (Singapore, Shanghai, New Jersey, and Basel). "This means that instead of having all the top 50 executives in the Netherlands (which isn't very attractive to top talent from China, the U.S., or Brazil), we have global hubs that provide equal leadership expertise to more nationalities. offer interesting jobs in a variety of locations."

Companies are starting to acknowledge the pervasiveness of bias, as the proliferation of unconscious bias training for middle managers demonstrates. While these are laudable efforts, the research shows they can backfire. People are tired of what they see as "identity politics" and most don't appreciate being called biased. Moreover, emphasizing that "everyone is a little bit biased," as trainings often do, can make bias seem understandable and acceptable, and inadvertently reinforce negative stereotypes. A subtle but impactful alternative is to make "managing across differences" a vaunted leadership skill. If you visibly promote and reward those who do it well, actions speak louder than unmet gender targets.

The pieces all fit together: a compelling vision helps get your core constituency on board, and training them in inclusion skills helps them execute on it. "People are not discriminatory," says Sijbesma, "sometimes they are simply unaware and unskilled." He has learned that the "myopia of dominant groups to see their standards as normal" is a key obstacle. Building awareness, engagement and skills has allowed him to build balance, fuel innovation and stimulate growth. He's celebrating, and DSM is flourishing. In 115 years of existence, its profits have never been so high, nor its share price so strong.

Q. It can be inferred from the passage that DSM's step of moving its single headquarters would have furthered its objective in which of the following ways?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 4 B is incorrect as the passage does not mention or imply anything about global expansion of the company. C is incorrect as it is unclear how moving headquarters would help in attracting employees of both genders. D is incorrect as this is a very general statement, and has nowhere been implied in the passage. The passage talks about how DSM has global hubs that offer jobs in many locations rather than having all the top 50 executives in Netherlands. From this we can infer that DSM wishes to open out its leadership to people from other nationalities as well. Hence, A is the right answer.
CAT Mock Test - 18 (06/11/2022) - Question 5

Read the following passage carefully and answer the questions that follow.

With the recent spate of firms in the news over sexual harassment, allegations and charges of gender bias, it is obvious that an issue many in business had thought was "done" is instead far from finished. A lot of companies are doubling down on efforts to finally "crack" the gender issue.

Most companies now have more gender-balanced talent pools, especially at the early-to-mid-career levels, and are looking for ways to make sure progress continues at the mid-to-upper levels. But the ones who really understand the issue see gender balance as not just a numbers game but part of a broader, more strategic cultural shift that includes developing leadership teams representing geographically diffuse markets. These leaders are recognizing that this balance drives the innovation and market understanding they need for other key business transformations. Without balance, they simply won't understand the world that's emerging.

Dutch-based Royal DSM is a case study of multiple parallel transformations - in their business and in their leadership balance. The CEO is convinced that the one feeds the other. "I'm absolutely convinced that the evolving balance of the top management team is a key factor in our success and our ability to change," Feike Sijbesma, the 57-year-old CEO of Royal DSM, the $8 billion, global company active in health, nutrition and materials science, said.

Most companies have a very broad definition of "diversity," which can make implementing change and measuring progress a challenge. What will success look like? What indicators will you track? Where is the business imperative? They tend to frame gender as one diversity dimension among many. This makes it near-impossible to invest the time and management focus needed to effectively adapt to a gender balanced workforce and customer base. And research has shown that different approaches are often needed to foster gender balance, as opposed to other diversity dimensions.

DSM prioritized two diversity dimensions, transparently and strategically: the nationality and gender balance of their management. "We looked at all the research," Sijbesma explains, "and it was clear that these were the two factors that had, by far, the biggest impact on the bottom line."

To further its objective, DSM moved away from having a single global headquarters in Heerlen, and based different functions in each region (Singapore, Shanghai, New Jersey, and Basel). "This means that instead of having all the top 50 executives in the Netherlands (which isn't very attractive to top talent from China, the U.S., or Brazil), we have global hubs that provide equal leadership expertise to more nationalities. offer interesting jobs in a variety of locations."

Companies are starting to acknowledge the pervasiveness of bias, as the proliferation of unconscious bias training for middle managers demonstrates. While these are laudable efforts, the research shows they can backfire. People are tired of what they see as "identity politics" and most don't appreciate being called biased. Moreover, emphasizing that "everyone is a little bit biased," as trainings often do, can make bias seem understandable and acceptable, and inadvertently reinforce negative stereotypes. A subtle but impactful alternative is to make "managing across differences" a vaunted leadership skill. If you visibly promote and reward those who do it well, actions speak louder than unmet gender targets.

The pieces all fit together: a compelling vision helps get your core constituency on board, and training them in inclusion skills helps them execute on it. "People are not discriminatory," says Sijbesma, "sometimes they are simply unaware and unskilled." He has learned that the "myopia of dominant groups to see their standards as normal" is a key obstacle. Building awareness, engagement and skills has allowed him to build balance, fuel innovation and stimulate growth. He's celebrating, and DSM is flourishing. In 115 years of existence, its profits have never been so high, nor its share price so strong.

Q. It can be inferred that the author gives DSM's example of improving gender and national diversity for which of the following purposes?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 5 B is incorrect as the author does not go into the number of ways there are of improving gender diversity. C is incorrect as the author nowhere mentions or implies that DSM has defied odds and evidence of any sort in achieving its objective. D is incorrect as the author does not address other companies and urge them to follow in DSM's footsteps. A is the right answer as the author seeks to highlight the importance of improving diversity and present a case study to show how it can be done.
CAT Mock Test - 18 (06/11/2022) - Question 6

Five sentences are given below. These sentences, when rearranged in proper order, form a logical and meaningful paragraph. Rearrange the sentences and enter the correct order as the answer.

  1. If you weary of the sameness and unprofitableness of every thing you know, go where I went last year, to the upper waters of the Ottawa, where the beaver is the master architect and the moose is king of the woods.

  2. The greatest glory of Canada is not its modern progress, but its vast and ancient wilderness.

  3. Also, trace their courses, and see that, though journeying far, in widely different directions, they finally arrive at a common destination.

  4. Behold these two children of the lakes, nourished from the same generous breast.

  5. See for yourself, as I saw, that the Ottawa and the Gatineau, appearing to come from widely distant regions, have their origin close together and are twins.


Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 6 After reading all the given sentences, we can see that the paragraph is about the natural beauty of Canada. Statement 2 is the opening sentence as it mentions a general statement about Canada’s glory. Statement 1 mentions the reason for what has been mentioned in statement 2. Statements 3 and 4 are about the cities mentioned in statement 5. So, statement 5 must come before statements 3 and 4. ‘These’ in statement 4 refers to ‘Ottawa’ and Gatineau’ mentioned in statement 5. Statement 3 is the concluding sentence. Statement 3 follows statement 4 because it starts with ‘also’. Thus, the correct order is 2-1-5-4-3.

Hence, 21543 is the correct answer.

CAT Mock Test - 18 (06/11/2022) - Question 7

Five sentences are given below. These sentences, when rearranged in proper order, form a logical and meaningful paragraph. Rearrange the sentences and enter the correct order as the answer.

  1. Nevertheless, if I may throw out a word of counsel to beginners, it is: Treasure your exceptions!

  2. Keep them always uncovered and in sight.

  3. Exceptions, in general, must be discussed elsewhere.

  4. Exceptions are like the rough brickwork of a growing building which tells that there is more to come and shows where the next construction is to be.

  5. When there are none, the work gets so dull that no one cares to carry it further.


Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 7 Statement 3 is the opening sentence of the paragraph as it introduces the topic of exceptions. Statement 1 logically follows statement 3 as in 3 the author says that "Exceptions, in general, must be discussed elsewhere" but then he adds nevertheless and talks about it in 1. Statement 5 further explains why one should treasure exceptions. 2-4 form a mandatory pair as they explain why exceptions should be kept in sight. Thus, the correct order is 3-1-5-2-4.

Hence, 31524 is the correct answer.

CAT Mock Test - 18 (06/11/2022) - Question 8

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. It ascertains how they have been brought to their present places and wrought to their various topographic forms, such as hills and valleys, plains and mountains.

  2. It learns from their composition and structure how the rocks were made and how they have been modified.

  3. In historical geology a broad view is given of the development of the North American continent and the evolution of life upon the planet.

  4. It studies the different types of rocks and their uses.

  5. Geology deals with the rocks of the earth's crust.


Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 8 Sentence 5 is the opening sentence of the paragraph as it introduces the topic of Geology. Sentences 1, 2 and 4 talk about Geology and the rocks mentioned in 5. 4 should come after 5 as it further elaborates on the subject of Geology. Sentences 2 and 1 together describe the study of rocks.

Sentence 3, which talks about historical geology, is out of context. The topic of historical geology is completely unrelated to the other sentences.

Hence, 3 is the correct answer.

CAT Mock Test - 18 (06/11/2022) - Question 9

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 - 18 (06/11/2022) - Question 9 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 - 18 (06/11/2022) - Question 10

Five sentences are given below. These sentences, when rearranged in proper order, form a logical and meaningful paragraph. Rearrange the sentences and enter the correct order as the answer.

  1. He found that the French garrison had departed for the west months before, leaving the fort in charge of Charles Langlade, a native of the area who had fought brilliantly on the French side during the French and Indian War.

  2. On September 28, 1761, a year after France’s vast North American empire had been surrendered to the British at Montreal, Canada, the flag of Great Britain was raised over Fort Michilimackinac, far to the west at what is now Mackinaw City, Michigan.

  3. Although Major Rogers later was to serve as commanding officer at Michilimackinac, the red-coated troops who marched into the little stockaded fort on the south shore of the straits connecting Lake Huron and Lake Michigan were commanded by Captain Henry Balfour.

  4. Balfour was greeted by several enterprising Englishmen who had gotten a head start in the race to gain control of the lucrative fur trade which for so long had been monopolized by French traders at Michilimackinac.

  5. A force under Major Robert Rogers, leader of the almost legendary Rogers’ Rangers, had reached Detroit in 1760 and had taken control of that post, but the coming of winter had compelled the British to wait until the following year to take over the other French outposts in the upper Great Lakes.


Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 10 We see that the paragraph is about the British annexation of North American empire which was earlier under the French control. Statement 2 is the opening sentence as it introduces the event. Statement 5 follows statement 2 as it provides additional historical context about the event. Also, it introduces Major Robert Rogers. Statement 3 mentions Captain Henry Balfour who was in command before Major Rogers. Also, short name of Major Robert Rogers used in statement 3 indicates that statement 3 follows statement 5. 'He' in the first sentence refers to Captain Henry Balfour introduced in statement 3. So, statement 1 must follow statement 3. Statement 4 is in continuation of the event discussed in statement 1. Thus, the correct order is 2-5-3-1-4.

Hence, 25314 is the correct answer.

CAT Mock Test - 18 (06/11/2022) - Question 11

Read the following passage carefully and answer the questions that follow.

Consumers increasingly expect brands to have not just functional benefits but a social purpose. As a result, companies are taking social stands in very visible ways. Airbnb used a Super Bowl ad to publicly cement its commitment to diversity. Tecate, based in Mexico, is investing heavily in programs to reduce violence against women, and Vicks, a P&G brand in India, supports child-adoption rights for transgender people. Brands increasingly use social purpose to guide marketing communications, inform product innovation, and steer investments toward social cause programs. And that's all well and good when it works. But missteps are common, and they can have real consequences.

Countless well-intentioned social-purpose programs have consumed resources and management time only to end up in obscurity. Sometimes they backfire because the brand messages designed to promote them anger or offend customers - or they simply go unnoticed because they fail to resonate. Other times, managers use these initiatives solely to pursue intangible benefits such as brand affection or as a means to communicate the company's corporate social responsibility, without consideration of how they might be able to create business value for the firm.

To develop a social purpose strategy, managers should begin by identifying a set of social or environmental needs to which the brand can make a meaningful contribution. (For simplicity, we'll use the term "social needs" to refer to both social and environmental concerns.) Few brands are likely to start with a blank slate - most have corporate social responsibility programs under way, some of which could become relevant aspects of the brand's value proposition. Yet focusing on only those initiatives could limit the potential of a purpose-driven brand strategy or divert marketing resources meant to stimulate the brand's growth toward corporate initiatives. To create a more comprehensive set of choices, managers should explore social purpose ideas in three domains: brand heritage, customer tensions, and product externalities.

Of the many benefits a brand may confer, only a few are likely to have defined the brand from the start and be the core reason for its success. Since its launch, in 1957, Dove has been promoted as a beauty bar, not a soap. Enhancing beauty has always been central to its value proposition. Therefore, it makes sense that Dove focuses on social needs tied to perceptions of beauty.

Finally, examine your product's or industry's externalities - the indirect costs borne or benefits gained by a third party as a result of your products' manufacture or use. For instance, the food and beverage industry has been criticized for the contribution of some of its products to the increasing rates of childhood obesity. It has also faced concerns about negative health effects resulting from companies' use of artificial ingredients and other chemicals in their products. Panera Bread's decision to position its offerings as "clean food" - made without "artificial preservatives, sweeteners, flavours, or colours from artificial sources" - is a direct response to a social need created by industry externalities.

Managers often have the best intentions when trying to link their brands with a social need, but choosing the right one can be difficult and risky and has long-term implications. Competing on social purpose requires managers to create value for all stakeholders - customers, the company, shareholders, and society at large - merging strategic acts of generosity with the diligent pursuit of brand goals.

Q. It can be observed from the last paragraph that:

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 11 A is incorrect as the passage does not express the author's views on this idea nor does he state anything about educating and/or suppressing people. B is incorrect as the author does not mention or imply that DSM would have failed if it had not adopted such an approach. D is incorrect as the author believes that DSM's approach has been responsible for its current good position, and not that DSM has achieved that position despite its approach. C is the right answer.
CAT Mock Test - 18 (06/11/2022) - Question 12

Read the following passage carefully and answer the questions that follow.

Consumers increasingly expect brands to have not just functional benefits but a social purpose. As a result, companies are taking social stands in very visible ways. Airbnb used a Super Bowl ad to publicly cement its commitment to diversity. Tecate, based in Mexico, is investing heavily in programs to reduce violence against women, and Vicks, a P&G brand in India, supports child-adoption rights for transgender people. Brands increasingly use social purpose to guide marketing communications, inform product innovation, and steer investments toward social cause programs. And that's all well and good when it works. But missteps are common, and they can have real consequences.

Countless well-intentioned social-purpose programs have consumed resources and management time only to end up in obscurity. Sometimes they backfire because the brand messages designed to promote them anger or offend customers - or they simply go unnoticed because they fail to resonate. Other times, managers use these initiatives solely to pursue intangible benefits such as brand affection or as a means to communicate the company's corporate social responsibility, without consideration of how they might be able to create business value for the firm.

To develop a social purpose strategy, managers should begin by identifying a set of social or environmental needs to which the brand can make a meaningful contribution. (For simplicity, we'll use the term "social needs" to refer to both social and environmental concerns.) Few brands are likely to start with a blank slate - most have corporate social responsibility programs under way, some of which could become relevant aspects of the brand's value proposition. Yet focusing on only those initiatives could limit the potential of a purpose-driven brand strategy or divert marketing resources meant to stimulate the brand's growth toward corporate initiatives. To create a more comprehensive set of choices, managers should explore social purpose ideas in three domains: brand heritage, customer tensions, and product externalities.

Of the many benefits a brand may confer, only a few are likely to have defined the brand from the start and be the core reason for its success. Since its launch, in 1957, Dove has been promoted as a beauty bar, not a soap. Enhancing beauty has always been central to its value proposition. Therefore, it makes sense that Dove focuses on social needs tied to perceptions of beauty.

Finally, examine your product's or industry's externalities - the indirect costs borne or benefits gained by a third party as a result of your products' manufacture or use. For instance, the food and beverage industry has been criticized for the contribution of some of its products to the increasing rates of childhood obesity. It has also faced concerns about negative health effects resulting from companies' use of artificial ingredients and other chemicals in their products. Panera Bread's decision to position its offerings as "clean food" - made without "artificial preservatives, sweeteners, flavours, or colours from artificial sources" - is a direct response to a social need created by industry externalities.

Managers often have the best intentions when trying to link their brands with a social need, but choosing the right one can be difficult and risky and has long-term implications. Competing on social purpose requires managers to create value for all stakeholders - customers, the company, shareholders, and society at large - merging strategic acts of generosity with the diligent pursuit of brand goals.

Q. It can be inferred from the context that when the author says, "Few brands are likely to start with a blank slate", he means that:

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 12 By saying this, the author means that there are very few brands that do not understand the importance of addressing social needs, and that do nothing in this direction. C is the closest to this idea.
CAT Mock Test - 18 (06/11/2022) - Question 13

Read the following passage carefully and answer the questions that follow.

Consumers increasingly expect brands to have not just functional benefits but a social purpose. As a result, companies are taking social stands in very visible ways. Airbnb used a Super Bowl ad to publicly cement its commitment to diversity. Tecate, based in Mexico, is investing heavily in programs to reduce violence against women, and Vicks, a P&G brand in India, supports child-adoption rights for transgender people. Brands increasingly use social purpose to guide marketing communications, inform product innovation, and steer investments toward social cause programs. And that's all well and good when it works. But missteps are common, and they can have real consequences.

Countless well-intentioned social-purpose programs have consumed resources and management time only to end up in obscurity. Sometimes they backfire because the brand messages designed to promote them anger or offend customers - or they simply go unnoticed because they fail to resonate. Other times, managers use these initiatives solely to pursue intangible benefits such as brand affection or as a means to communicate the company's corporate social responsibility, without consideration of how they might be able to create business value for the firm.

To develop a social purpose strategy, managers should begin by identifying a set of social or environmental needs to which the brand can make a meaningful contribution. (For simplicity, we'll use the term "social needs" to refer to both social and environmental concerns.) Few brands are likely to start with a blank slate - most have corporate social responsibility programs under way, some of which could become relevant aspects of the brand's value proposition. Yet focusing on only those initiatives could limit the potential of a purpose-driven brand strategy or divert marketing resources meant to stimulate the brand's growth toward corporate initiatives. To create a more comprehensive set of choices, managers should explore social purpose ideas in three domains: brand heritage, customer tensions, and product externalities.

Of the many benefits a brand may confer, only a few are likely to have defined the brand from the start and be the core reason for its success. Since its launch, in 1957, Dove has been promoted as a beauty bar, not a soap. Enhancing beauty has always been central to its value proposition. Therefore, it makes sense that Dove focuses on social needs tied to perceptions of beauty.

Finally, examine your product's or industry's externalities - the indirect costs borne or benefits gained by a third party as a result of your products' manufacture or use. For instance, the food and beverage industry has been criticized for the contribution of some of its products to the increasing rates of childhood obesity. It has also faced concerns about negative health effects resulting from companies' use of artificial ingredients and other chemicals in their products. Panera Bread's decision to position its offerings as "clean food" - made without "artificial preservatives, sweeteners, flavours, or colours from artificial sources" - is a direct response to a social need created by industry externalities.

Managers often have the best intentions when trying to link their brands with a social need, but choosing the right one can be difficult and risky and has long-term implications. Competing on social purpose requires managers to create value for all stakeholders - customers, the company, shareholders, and society at large - merging strategic acts of generosity with the diligent pursuit of brand goals.

Q. Which of the following can said to be the purpose of the author in the second paragraph of the passage?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 13 B and C are eliminated as the author simply does not address managers in this paragraph, nor does he give any instructions or warnings regarding a failed social-purpose program. D is incorrect as the author only identifies the pitfalls. He suggests no remedies. A is the right answer.
CAT Mock Test - 18 (06/11/2022) - Question 14

Read the following passage carefully and answer the questions that follow.

Consumers increasingly expect brands to have not just functional benefits but a social purpose. As a result, companies are taking social stands in very visible ways. Airbnb used a Super Bowl ad to publicly cement its commitment to diversity. Tecate, based in Mexico, is investing heavily in programs to reduce violence against women, and Vicks, a P&G brand in India, supports child-adoption rights for transgender people. Brands increasingly use social purpose to guide marketing communications, inform product innovation, and steer investments toward social cause programs. And that's all well and good when it works. But missteps are common, and they can have real consequences.

Countless well-intentioned social-purpose programs have consumed resources and management time only to end up in obscurity. Sometimes they backfire because the brand messages designed to promote them anger or offend customers - or they simply go unnoticed because they fail to resonate. Other times, managers use these initiatives solely to pursue intangible benefits such as brand affection or as a means to communicate the company's corporate social responsibility, without consideration of how they might be able to create business value for the firm.

To develop a social purpose strategy, managers should begin by identifying a set of social or environmental needs to which the brand can make a meaningful contribution. (For simplicity, we'll use the term "social needs" to refer to both social and environmental concerns.) Few brands are likely to start with a blank slate - most have corporate social responsibility programs under way, some of which could become relevant aspects of the brand's value proposition. Yet focusing on only those initiatives could limit the potential of a purpose-driven brand strategy or divert marketing resources meant to stimulate the brand's growth toward corporate initiatives. To create a more comprehensive set of choices, managers should explore social purpose ideas in three domains: brand heritage, customer tensions, and product externalities.

Of the many benefits a brand may confer, only a few are likely to have defined the brand from the start and be the core reason for its success. Since its launch, in 1957, Dove has been promoted as a beauty bar, not a soap. Enhancing beauty has always been central to its value proposition. Therefore, it makes sense that Dove focuses on social needs tied to perceptions of beauty.

Finally, examine your product's or industry's externalities - the indirect costs borne or benefits gained by a third party as a result of your products' manufacture or use. For instance, the food and beverage industry has been criticized for the contribution of some of its products to the increasing rates of childhood obesity. It has also faced concerns about negative health effects resulting from companies' use of artificial ingredients and other chemicals in their products. Panera Bread's decision to position its offerings as "clean food" - made without "artificial preservatives, sweeteners, flavours, or colours from artificial sources" - is a direct response to a social need created by industry externalities.

Managers often have the best intentions when trying to link their brands with a social need, but choosing the right one can be difficult and risky and has long-term implications. Competing on social purpose requires managers to create value for all stakeholders - customers, the company, shareholders, and society at large - merging strategic acts of generosity with the diligent pursuit of brand goals.

Q. Which of the following is the most appropriate title for the passage?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 14 A is incorrect as this forms only a brief part of the passage, and does not sum up the gist of the passage entirely. C is incorrect as the entire passage does not revolve around case studies; rather the author uses some examples to illustrate the main idea. D is incorrect as the author only tells us the benefits of it, and not the disadvantages. Truth be told, he does venture into describing the consequences of its failure, but that does not fall into the cons of the overall strategy. B is the right answer as the entire passage talks about the concept of competing on social purpose, its advantages, and how it can be done successfully.
CAT Mock Test - 18 (06/11/2022) - Question 15

Read the following passage carefully and answer the questions that follow.

Consumers increasingly expect brands to have not just functional benefits but a social purpose. As a result, companies are taking social stands in very visible ways. Airbnb used a Super Bowl ad to publicly cement its commitment to diversity. Tecate, based in Mexico, is investing heavily in programs to reduce violence against women, and Vicks, a P&G brand in India, supports child-adoption rights for transgender people. Brands increasingly use social purpose to guide marketing communications, inform product innovation, and steer investments toward social cause programs. And that's all well and good when it works. But missteps are common, and they can have real consequences.

Countless well-intentioned social-purpose programs have consumed resources and management time only to end up in obscurity. Sometimes they backfire because the brand messages designed to promote them anger or offend customers - or they simply go unnoticed because they fail to resonate. Other times, managers use these initiatives solely to pursue intangible benefits such as brand affection or as a means to communicate the company's corporate social responsibility, without consideration of how they might be able to create business value for the firm.

To develop a social purpose strategy, managers should begin by identifying a set of social or environmental needs to which the brand can make a meaningful contribution. (For simplicity, we'll use the term "social needs" to refer to both social and environmental concerns.) Few brands are likely to start with a blank slate - most have corporate social responsibility programs under way, some of which could become relevant aspects of the brand's value proposition. Yet focusing on only those initiatives could limit the potential of a purpose-driven brand strategy or divert marketing resources meant to stimulate the brand's growth toward corporate initiatives. To create a more comprehensive set of choices, managers should explore social purpose ideas in three domains: brand heritage, customer tensions, and product externalities.

Of the many benefits a brand may confer, only a few are likely to have defined the brand from the start and be the core reason for its success. Since its launch, in 1957, Dove has been promoted as a beauty bar, not a soap. Enhancing beauty has always been central to its value proposition. Therefore, it makes sense that Dove focuses on social needs tied to perceptions of beauty.

Finally, examine your product's or industry's externalities - the indirect costs borne or benefits gained by a third party as a result of your products' manufacture or use. For instance, the food and beverage industry has been criticized for the contribution of some of its products to the increasing rates of childhood obesity. It has also faced concerns about negative health effects resulting from companies' use of artificial ingredients and other chemicals in their products. Panera Bread's decision to position its offerings as "clean food" - made without "artificial preservatives, sweeteners, flavours, or colours from artificial sources" - is a direct response to a social need created by industry externalities.

Managers often have the best intentions when trying to link their brands with a social need, but choosing the right one can be difficult and risky and has long-term implications. Competing on social purpose requires managers to create value for all stakeholders - customers, the company, shareholders, and society at large - merging strategic acts of generosity with the diligent pursuit of brand goals.

Q. What does the author seek to highlight when he raises the example of Dove?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 15 The author gives the example of Dove and tells us that since its product is a beauty bar, not a soap, so it would be best for it to target social needs tied to perceptions of beauty. So, it is clear that the author is trying to highlight the fact that the kind of product determines the nature of the social needs that the brand can address. Only A suffices.
CAT Mock Test - 18 (06/11/2022) - Question 16

Read the following passage carefully and answer the questions that follow.

Consumers increasingly expect brands to have not just functional benefits but a social purpose. As a result, companies are taking social stands in very visible ways. Airbnb used a Super Bowl ad to publicly cement its commitment to diversity. Tecate, based in Mexico, is investing heavily in programs to reduce violence against women, and Vicks, a P&G brand in India, supports child-adoption rights for transgender people. Brands increasingly use social purpose to guide marketing communications, inform product innovation, and steer investments toward social cause programs. And that's all well and good when it works. But missteps are common, and they can have real consequences.

Countless well-intentioned social-purpose programs have consumed resources and management time only to end up in obscurity. Sometimes they backfire because the brand messages designed to promote them anger or offend customers - or they simply go unnoticed because they fail to resonate. Other times, managers use these initiatives solely to pursue intangible benefits such as brand affection or as a means to communicate the company's corporate social responsibility, without consideration of how they might be able to create business value for the firm.

To develop a social purpose strategy, managers should begin by identifying a set of social or environmental needs to which the brand can make a meaningful contribution. (For simplicity, we'll use the term "social needs" to refer to both social and environmental concerns.) Few brands are likely to start with a blank slate - most have corporate social responsibility programs under way, some of which could become relevant aspects of the brand's value proposition. Yet focusing on only those initiatives could limit the potential of a purpose-driven brand strategy or divert marketing resources meant to stimulate the brand's growth toward corporate initiatives. To create a more comprehensive set of choices, managers should explore social purpose ideas in three domains: brand heritage, customer tensions, and product externalities.

Of the many benefits a brand may confer, only a few are likely to have defined the brand from the start and be the core reason for its success. Since its launch, in 1957, Dove has been promoted as a beauty bar, not a soap. Enhancing beauty has always been central to its value proposition. Therefore, it makes sense that Dove focuses on social needs tied to perceptions of beauty.

Finally, examine your product's or industry's externalities - the indirect costs borne or benefits gained by a third party as a result of your products' manufacture or use. For instance, the food and beverage industry has been criticized for the contribution of some of its products to the increasing rates of childhood obesity. It has also faced concerns about negative health effects resulting from companies' use of artificial ingredients and other chemicals in their products. Panera Bread's decision to position its offerings as "clean food" - made without "artificial preservatives, sweeteners, flavours, or colours from artificial sources" - is a direct response to a social need created by industry externalities.

Managers often have the best intentions when trying to link their brands with a social need, but choosing the right one can be difficult and risky and has long-term implications. Competing on social purpose requires managers to create value for all stakeholders - customers, the company, shareholders, and society at large - merging strategic acts of generosity with the diligent pursuit of brand goals.

Q. Which of the following best describes the tone of the passage?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 16 'Didactic' cannot be said to be the tone of the passage, as the author does not use strong words to instruct. 'Skeptical' is incorrect as the author is not doubtful regarding anything mentioned in the passage. 'Analytical' is incorrect as the author does not make any analysis in the passage. The tone of the passage can be said to be advisory, as the author highlights the importance of addressing social concerns, and advises brands as to how they might go about doing it. B is the right answer.
CAT Mock Test - 18 (06/11/2022) - Question 17

Read the following passage carefully and answer the questions that follow.

Consumers increasingly expect brands to have not just functional benefits but a social purpose. As a result, companies are taking social stands in very visible ways. Airbnb used a Super Bowl ad to publicly cement its commitment to diversity. Tecate, based in Mexico, is investing heavily in programs to reduce violence against women, and Vicks, a P&G brand in India, supports child-adoption rights for transgender people. Brands increasingly use social purpose to guide marketing communications, inform product innovation, and steer investments toward social cause programs. And that's all well and good when it works. But missteps are common, and they can have real consequences.

Countless well-intentioned social-purpose programs have consumed resources and management time only to end up in obscurity. Sometimes they backfire because the brand messages designed to promote them anger or offend customers - or they simply go unnoticed because they fail to resonate. Other times, managers use these initiatives solely to pursue intangible benefits such as brand affection or as a means to communicate the company's corporate social responsibility, without consideration of how they might be able to create business value for the firm.

To develop a social purpose strategy, managers should begin by identifying a set of social or environmental needs to which the brand can make a meaningful contribution. (For simplicity, we'll use the term "social needs" to refer to both social and environmental concerns.) Few brands are likely to start with a blank slate - most have corporate social responsibility programs under way, some of which could become relevant aspects of the brand's value proposition. Yet focusing on only those initiatives could limit the potential of a purpose-driven brand strategy or divert marketing resources meant to stimulate the brand's growth toward corporate initiatives. To create a more comprehensive set of choices, managers should explore social purpose ideas in three domains: brand heritage, customer tensions, and product externalities.

Of the many benefits a brand may confer, only a few are likely to have defined the brand from the start and be the core reason for its success. Since its launch, in 1957, Dove has been promoted as a beauty bar, not a soap. Enhancing beauty has always been central to its value proposition. Therefore, it makes sense that Dove focuses on social needs tied to perceptions of beauty.

Finally, examine your product's or industry's externalities - the indirect costs borne or benefits gained by a third party as a result of your products' manufacture or use. For instance, the food and beverage industry has been criticized for the contribution of some of its products to the increasing rates of childhood obesity. It has also faced concerns about negative health effects resulting from companies' use of artificial ingredients and other chemicals in their products. Panera Bread's decision to position its offerings as "clean food" - made without "artificial preservatives, sweeteners, flavours, or colours from artificial sources" - is a direct response to a social need created by industry externalities.

Managers often have the best intentions when trying to link their brands with a social need, but choosing the right one can be difficult and risky and has long-term implications. Competing on social purpose requires managers to create value for all stakeholders - customers, the company, shareholders, and society at large - merging strategic acts of generosity with the diligent pursuit of brand goals.

Q. It can be inferred from the passage that the author is most likely to disagree with which of the following statements?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 17 C is incorrect as the author is likely to agree with this statement. D is incorrect as the author does not talk about whether a company can fool its employees or consumers by taking up CSR objectives. Between A and B, the author is likely to disagree with both, but more so with A. The reason is that nowhere in the passage does the author indicate that CSR is crucial to success; it simply highlights its importance. A is the right answer, as this counters the very first passage, in which the author outlines the fact that an increasing number of consumers expect brands to take up CSR objectives.
CAT Mock Test - 18 (06/11/2022) - Question 18

Read the following passage carefully and answer the questions that follow.

While sabbaticals are still rare inside of corporate America, their presence is increasing rapidly. According to a survey from the Society for Human Resource Management, the percentage of companies offering sabbaticals (both paid and unpaid) rose to nearly 17% of employers in 2017. That's a significant gain from 1977, when McDonald's instituted what was arguably the first corporate sabbatical program in the United States.

Since the concept of sabbaticals is most popular in the academic arena, the majority of research done on their effect on employees has been conducted by studying professors. One notable study compared 129 university professors who took a sabbatical in a given term with 129 equally qualified colleagues who didn't. Both groups were surveyed before, during, and after the term to assess stress levels, psychological resources, and even overall life satisfaction. It's not surprising that the researchers found that those who took sabbaticals experienced, upon return, a decline in stress and an increase in psychological resources and overall well-being. What is surprising, however, is that those positive changes often remained long after the sabbatical takers returned to work.

The bigger benefit to organizations, however, comes in unexpected ways. Providing sabbaticals or extended leave time to leaders can actually be a means to stress test the organizational chart and give aspiring leaders a chance to grow. In one study, researchers surveyed 61 leaders at five different non-profit organizations with sabbatical programs. Each organization had slightly different requirements, but all required at least three months off and discouraged executives from visiting the office during the sabbatical period.

The researchers found that the majority of leaders surveyed said the time away allowed them the space to generate new ideas for innovating in the organization and helped them gain greater confidence in themselves as leaders. They also reported a better ability to collaborate with their board of directors, most likely because the planning and execution of the sabbatical provided a learning experience for everyone involved.

At the very least, having people rotate out for an extended period of time allows organizations to stress test their organizational chart. Ideally, no team should be so dependent on any one person that productivity grinds to a halt during an extended vacation. And while it may look good on paper, the only way to know for sure is to test it. For instance, there are many unique vacation/sabbatical policies out there: The Motley Fool's approach, called "The Fool's Errand." Each month leadership of The Motley Fool draws a random name from the company roster and awards that person two weeks of paid time off with a catch: It must be taken in the next month.

Whether it's a long-term sabbatical or a surprise vacation, the success of extended time off - for the organization - is an encouragement and a warning. The warning is that most organizations are probably not giving employees enough time away.

Q. It can be inferred from the passage that sabbatical policies, such as the Motley Fool's approach, ensure that:

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 18 A and C talk about the importance of leave from the employee's point of view, while the passage seeks to talk about it from the company's perspective. D stands in direct contrast to the essence and central idea of the passage. The Motley Fool's approach has been discussed in the fifth paragraph. Although it is not directly stated what the aim of the policy is, but the paragraph previously mentions the importance of stress testing the company's organisational chart and making sure that the functioning does not come to a halt if one person takes leave. B is the right answer.
CAT Mock Test - 18 (06/11/2022) - Question 19

Read the following passage carefully and answer the questions that follow.

While sabbaticals are still rare inside of corporate America, their presence is increasing rapidly. According to a survey from the Society for Human Resource Management, the percentage of companies offering sabbaticals (both paid and unpaid) rose to nearly 17% of employers in 2017. That's a significant gain from 1977, when McDonald's instituted what was arguably the first corporate sabbatical program in the United States.

Since the concept of sabbaticals is most popular in the academic arena, the majority of research done on their effect on employees has been conducted by studying professors. One notable study compared 129 university professors who took a sabbatical in a given term with 129 equally qualified colleagues who didn't. Both groups were surveyed before, during, and after the term to assess stress levels, psychological resources, and even overall life satisfaction. It's not surprising that the researchers found that those who took sabbaticals experienced, upon return, a decline in stress and an increase in psychological resources and overall well-being. What is surprising, however, is that those positive changes often remained long after the sabbatical takers returned to work.

The bigger benefit to organizations, however, comes in unexpected ways. Providing sabbaticals or extended leave time to leaders can actually be a means to stress test the organizational chart and give aspiring leaders a chance to grow. In one study, researchers surveyed 61 leaders at five different non-profit organizations with sabbatical programs. Each organization had slightly different requirements, but all required at least three months off and discouraged executives from visiting the office during the sabbatical period.

The researchers found that the majority of leaders surveyed said the time away allowed them the space to generate new ideas for innovating in the organization and helped them gain greater confidence in themselves as leaders. They also reported a better ability to collaborate with their board of directors, most likely because the planning and execution of the sabbatical provided a learning experience for everyone involved.

At the very least, having people rotate out for an extended period of time allows organizations to stress test their organizational chart. Ideally, no team should be so dependent on any one person that productivity grinds to a halt during an extended vacation. And while it may look good on paper, the only way to know for sure is to test it. For instance, there are many unique vacation/sabbatical policies out there: The Motley Fool's approach, called "The Fool's Errand." Each month leadership of The Motley Fool draws a random name from the company roster and awards that person two weeks of paid time off with a catch: It must be taken in the next month.

Whether it's a long-term sabbatical or a surprise vacation, the success of extended time off - for the organization - is an encouragement and a warning. The warning is that most organizations are probably not giving employees enough time away.

Q. Which of the following best sums up the central idea of the passage?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 19 Although option A features briefly in the passage, it is not the central idea, rather a secondary one. Option B is incorrect as this forms the premise upon which some part of the passage lies, but it is not the main idea around which the entire passage revolves. D is incorrect as this is mentioned as a warning given by the author addressed to the company, but is not the central idea. C is the right answer, as it sums up the idea around which the passage is centred.
CAT Mock Test - 18 (06/11/2022) - Question 20

Read the following passage carefully and answer the questions that follow.

While sabbaticals are still rare inside of corporate America, their presence is increasing rapidly. According to a survey from the Society for Human Resource Management, the percentage of companies offering sabbaticals (both paid and unpaid) rose to nearly 17% of employers in 2017. That's a significant gain from 1977, when McDonald's instituted what was arguably the first corporate sabbatical program in the United States.

Since the concept of sabbaticals is most popular in the academic arena, the majority of research done on their effect on employees has been conducted by studying professors. One notable study compared 129 university professors who took a sabbatical in a given term with 129 equally qualified colleagues who didn't. Both groups were surveyed before, during, and after the term to assess stress levels, psychological resources, and even overall life satisfaction. It's not surprising that the researchers found that those who took sabbaticals experienced, upon return, a decline in stress and an increase in psychological resources and overall well-being. What is surprising, however, is that those positive changes often remained long after the sabbatical takers returned to work.

The bigger benefit to organizations, however, comes in unexpected ways. Providing sabbaticals or extended leave time to leaders can actually be a means to stress test the organizational chart and give aspiring leaders a chance to grow. In one study, researchers surveyed 61 leaders at five different non-profit organizations with sabbatical programs. Each organization had slightly different requirements, but all required at least three months off and discouraged executives from visiting the office during the sabbatical period.

The researchers found that the majority of leaders surveyed said the time away allowed them the space to generate new ideas for innovating in the organization and helped them gain greater confidence in themselves as leaders. They also reported a better ability to collaborate with their board of directors, most likely because the planning and execution of the sabbatical provided a learning experience for everyone involved.

At the very least, having people rotate out for an extended period of time allows organizations to stress test their organizational chart. Ideally, no team should be so dependent on any one person that productivity grinds to a halt during an extended vacation. And while it may look good on paper, the only way to know for sure is to test it. For instance, there are many unique vacation/sabbatical policies out there: The Motley Fool's approach, called "The Fool's Errand." Each month leadership of The Motley Fool draws a random name from the company roster and awards that person two weeks of paid time off with a catch: It must be taken in the next month.

Whether it's a long-term sabbatical or a surprise vacation, the success of extended time off - for the organization - is an encouragement and a warning. The warning is that most organizations are probably not giving employees enough time away.

Q. The tone of the author in the passage can best be described as:

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 20 The author does not criticise anyone or anything, on the contrary, he presents a positive view of sabbaticals. So, A is ruled out. B can be a confusing option, since the author does warn or caution companies in the last paragraph, but we must note that this is true only of the last paragraph and not the entire passage. C is incorrect as the author does not mock anyone or anything. D is the most apt answer, as the author seeks to describe only one side of the issue - the benefits that rewarding sabbaticals can have for companies.
CAT Mock Test - 18 (06/11/2022) - Question 21

Read the following passage carefully and answer the questions that follow.

While sabbaticals are still rare inside of corporate America, their presence is increasing rapidly. According to a survey from the Society for Human Resource Management, the percentage of companies offering sabbaticals (both paid and unpaid) rose to nearly 17% of employers in 2017. That's a significant gain from 1977, when McDonald's instituted what was arguably the first corporate sabbatical program in the United States.

Since the concept of sabbaticals is most popular in the academic arena, the majority of research done on their effect on employees has been conducted by studying professors. One notable study compared 129 university professors who took a sabbatical in a given term with 129 equally qualified colleagues who didn't. Both groups were surveyed before, during, and after the term to assess stress levels, psychological resources, and even overall life satisfaction. It's not surprising that the researchers found that those who took sabbaticals experienced, upon return, a decline in stress and an increase in psychological resources and overall well-being. What is surprising, however, is that those positive changes often remained long after the sabbatical takers returned to work.

The bigger benefit to organizations, however, comes in unexpected ways. Providing sabbaticals or extended leave time to leaders can actually be a means to stress test the organizational chart and give aspiring leaders a chance to grow. In one study, researchers surveyed 61 leaders at five different non-profit organizations with sabbatical programs. Each organization had slightly different requirements, but all required at least three months off and discouraged executives from visiting the office during the sabbatical period.

The researchers found that the majority of leaders surveyed said the time away allowed them the space to generate new ideas for innovating in the organization and helped them gain greater confidence in themselves as leaders. They also reported a better ability to collaborate with their board of directors, most likely because the planning and execution of the sabbatical provided a learning experience for everyone involved.

At the very least, having people rotate out for an extended period of time allows organizations to stress test their organizational chart. Ideally, no team should be so dependent on any one person that productivity grinds to a halt during an extended vacation. And while it may look good on paper, the only way to know for sure is to test it. For instance, there are many unique vacation/sabbatical policies out there: The Motley Fool's approach, called "The Fool's Errand." Each month leadership of The Motley Fool draws a random name from the company roster and awards that person two weeks of paid time off with a catch: It must be taken in the next month.

Whether it's a long-term sabbatical or a surprise vacation, the success of extended time off - for the organization - is an encouragement and a warning. The warning is that most organizations are probably not giving employees enough time away.

Q. Given the author's views, it can be inferred that he/she would most agree with which of the following statements?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 21 The passage hardly focuses on the employee side of the issue. Instead the passage is concerned with discussing how sabbaticals can benefit the company. Both A and B focus on how sabbaticals influence employee loyalty, which has not been discussed throughout the course of the passage. D counters the information given in the passage, so the author is most likely to disagree with this statement as the whole point of rewarding sabbaticals, the author's view, is to make the company stronger. Going by this logic, the author is most likely to agree with the statement given in option C.
CAT Mock Test - 18 (06/11/2022) - Question 22

Read the following passage carefully and answer the questions that follow.

While sabbaticals are still rare inside of corporate America, their presence is increasing rapidly. According to a survey from the Society for Human Resource Management, the percentage of companies offering sabbaticals (both paid and unpaid) rose to nearly 17% of employers in 2017. That's a significant gain from 1977, when McDonald's instituted what was arguably the first corporate sabbatical program in the United States.

Since the concept of sabbaticals is most popular in the academic arena, the majority of research done on their effect on employees has been conducted by studying professors. One notable study compared 129 university professors who took a sabbatical in a given term with 129 equally qualified colleagues who didn't. Both groups were surveyed before, during, and after the term to assess stress levels, psychological resources, and even overall life satisfaction. It's not surprising that the researchers found that those who took sabbaticals experienced, upon return, a decline in stress and an increase in psychological resources and overall well-being. What is surprising, however, is that those positive changes often remained long after the sabbatical takers returned to work.

The bigger benefit to organizations, however, comes in unexpected ways. Providing sabbaticals or extended leave time to leaders can actually be a means to stress test the organizational chart and give aspiring leaders a chance to grow. In one study, researchers surveyed 61 leaders at five different non-profit organizations with sabbatical programs. Each organization had slightly different requirements, but all required at least three months off and discouraged executives from visiting the office during the sabbatical period.

The researchers found that the majority of leaders surveyed said the time away allowed them the space to generate new ideas for innovating in the organization and helped them gain greater confidence in themselves as leaders. They also reported a better ability to collaborate with their board of directors, most likely because the planning and execution of the sabbatical provided a learning experience for everyone involved.

At the very least, having people rotate out for an extended period of time allows organizations to stress test their organizational chart. Ideally, no team should be so dependent on any one person that productivity grinds to a halt during an extended vacation. And while it may look good on paper, the only way to know for sure is to test it. For instance, there are many unique vacation/sabbatical policies out there: The Motley Fool's approach, called "The Fool's Errand." Each month leadership of The Motley Fool draws a random name from the company roster and awards that person two weeks of paid time off with a catch: It must be taken in the next month.

Whether it's a long-term sabbatical or a surprise vacation, the success of extended time off - for the organization - is an encouragement and a warning. The warning is that most organizations are probably not giving employees enough time away.

Q. Whether it's a long-term sabbatical or a surprise vacation, the success of extended time off - for the organization - is an encouragement and a warning. The warning is that most organizations are probably not giving employees enough time away.

It can be inferred that the author could have extended the last paragraph to include how many of the following statements?

  1. The encouragement is that extended time pays off.

  2. How seriously companies take this warning, is yet to be seen.

  3. Rewarding sabbatical to employees increases the productivity of the company.

  4. The pros of rewarding sabbatical to employees far outweigh the cons.

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 22 The last paragraph of the passage talks about sabbatical serving as both, an encouragement and a warning. It then goes on to tell us the warning part of it. So, sentence I can be included in this paragraph, as it gives us how sabbatical can serve as encouragement. II can also be included as it builds further on the warning part given in the paragraph. III, although in line with the author's views, cannot be included as this part has already been discussed in the previous paragraphs, and introducing it here again would make it incoherent. IV is incorrect, as the passage does not concern itself with discussing any cons of the issue. A is the right answer, as only 2 statements can be included.
CAT Mock Test - 18 (06/11/2022) - Question 23

Read the following passage and answer the question followed by it.

The Sophist in Plato is the master of the art of illusion; the charlatan, the foreigner, the prince of esprits-faux, the hireling who is not a teacher, and who, from whatever point of view he is regarded, is the opposite of the true teacher. He is the 'evil one,' the ideal representative of all that Plato most disliked in the moral and intellectual tendencies of his own age; the adversary of the almost equally ideal Socrates. He seems to be always growing in the fancy of Plato, now boastful, now eristic, now clothing himself in rags of philosophy, now more akin to the rhetorician or lawyer, now haranguing, now questioning, until the final appearance in the Politicus of his departing shadow in the disguise of a statesman. We are not to suppose that Plato intended by such a description to depict Protagoras or Gorgias, or even Thrasymachus, who all turn out to be 'very good sort of people when we know them,' and all of them part on good terms with Socrates. But he is speaking of a being as imaginary as the wise man of the Stoics, and whose character varies in different dialogues. Like mythology, Greek philosophy has a tendency to personify ideas. And the Sophist is not merely a teacher of rhetoric for a fee of one or fifty drachmae (Crat.), but an ideal of Plato's in which the falsehood of all mankind is reflected.

A milder tone is adopted towards the Sophists in a well-known passage of the Republic, where they are described as the followers rather than the leaders of the rest of mankind. Plato ridicules the notion that any individuals can corrupt youth to a degree worth speaking of in comparison with the greater influence of public opinion. But there is no real inconsistency between this and other descriptions of the Sophist which occur in the Platonic writings. For Plato is not justifying the Sophists in the passage just quoted, but only representing their power to be contemptible; they are to be despised rather than feared, and are no worse than the rest of mankind. But a teacher or statesman may be justly condemned, who is on a level with mankind when he ought to be above them. There is another point of view in which this passage should also be considered. The great enemy of Plato is the world, not exactly in the theological sense, yet in one not wholly different - the world as the hater of truth and lover of appearance, occupied in the pursuit of gain and pleasure rather than of knowledge, banded together against the few good and wise men, and devoid of true education. This creature has many heads: rhetoricians, lawyers, statesmen, poets, sophists. But the Sophist is the Proteus who takes the likeness of all of them; all other deceivers have a piece of him in them. And sometimes he is represented as the corrupter of the world; and sometimes the world as the corrupter of him and of itself.

Of late years the Sophists have found an enthusiastic defender in the distinguished historian of Greece. He appears to maintain that the term 'Sophist' is not the name of a particular class, and would have been applied indifferently to Socrates and Plato; and that the bad sense was imprinted on the word by the genius of Plato. Briefly considering how far these statements appear to be justified by facts and about the meaning of the word, there arises an interesting question: Many words are used both in a general and a specific sense, and the two senses are not always clearly distinguished. Sometimes the generic meaning has been narrowed to the specific, while in other cases the specific meaning has been enlarged or altered. Examples of the former class are furnished by some ecclesiastical terms: apostles, prophets, bishops, elders, catholics. Examples of the latter class may also be found in a similar field: jesuits, puritans, methodists, and the like. Sometimes the meaning is both narrowed and enlarged; and a good or bad sense will subsist side by side with a neutral one. A curious effect is produced on the meaning of a word when the very term which is stigmatized by the world (e.g. Methodists) is adopted by the obnoxious or derided class; this tends to define the meaning. Or, again, the opposite result is produced, when the world refuses to allow some sect or body of men the possession of an honorable name which they have assumed, or applies it to them only in mockery or irony. The term 'Sophist' is one of those words of which the meaning has been both contracted and enlarged.

Q. In terms of an analogy, which one would fit the role of a teacher, as described by Plato, best:

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 23 Refer to the portions highlighted: "A milder tone is adopted towards the Sophists in a well-known passage of the Republic, where they are described as the followers rather than the leaders of the rest of mankind. For Plato is not justifying the Sophists in the passage just quoted, but only representing their power to be contemptible; they are to be despised rather than feared, and are no worse than the rest of mankind. But a teacher or statesman may be justly condemned, who is on a level with mankind when he ought to be above them."

The above portions highlight what the Plato implies in the passage about teachers, and connecting these two statements lead us to option 3 as the correct answer. Understand the basic crux, the role of a teacher can be labeled as: to raise themselves to a level where they lead and not follow. We find this sentiment best reflected in option 3.

CAT Mock Test - 18 (06/11/2022) - Question 24

Read the following passage and answer the question followed by it.

The Sophist in Plato is the master of the art of illusion; the charlatan, the foreigner, the prince of esprits-faux, the hireling who is not a teacher, and who, from whatever point of view he is regarded, is the opposite of the true teacher. He is the 'evil one,' the ideal representative of all that Plato most disliked in the moral and intellectual tendencies of his own age; the adversary of the almost equally ideal Socrates. He seems to be always growing in the fancy of Plato, now boastful, now eristic, now clothing himself in rags of philosophy, now more akin to the rhetorician or lawyer, now haranguing, now questioning, until the final appearance in the Politicus of his departing shadow in the disguise of a statesman. We are not to suppose that Plato intended by such a description to depict Protagoras or Gorgias, or even Thrasymachus, who all turn out to be 'very good sort of people when we know them,' and all of them part on good terms with Socrates. But he is speaking of a being as imaginary as the wise man of the Stoics, and whose character varies in different dialogues. Like mythology, Greek philosophy has a tendency to personify ideas. And the Sophist is not merely a teacher of rhetoric for a fee of one or fifty drachmae (Crat.), but an ideal of Plato's in which the falsehood of all mankind is reflected.

A milder tone is adopted towards the Sophists in a well-known passage of the Republic, where they are described as the followers rather than the leaders of the rest of mankind. Plato ridicules the notion that any individuals can corrupt youth to a degree worth speaking of in comparison with the greater influence of public opinion. But there is no real inconsistency between this and other descriptions of the Sophist which occur in the Platonic writings. For Plato is not justifying the Sophists in the passage just quoted, but only representing their power to be contemptible; they are to be despised rather than feared, and are no worse than the rest of mankind. But a teacher or statesman may be justly condemned, who is on a level with mankind when he ought to be above them. There is another point of view in which this passage should also be considered. The great enemy of Plato is the world, not exactly in the theological sense, yet in one not wholly different - the world as the hater of truth and lover of appearance, occupied in the pursuit of gain and pleasure rather than of knowledge, banded together against the few good and wise men, and devoid of true education. This creature has many heads: rhetoricians, lawyers, statesmen, poets, sophists. But the Sophist is the Proteus who takes the likeness of all of them; all other deceivers have a piece of him in them. And sometimes he is represented as the corrupter of the world; and sometimes the world as the corrupter of him and of itself.

Of late years the Sophists have found an enthusiastic defender in the distinguished historian of Greece. He appears to maintain that the term 'Sophist' is not the name of a particular class, and would have been applied indifferently to Socrates and Plato; and that the bad sense was imprinted on the word by the genius of Plato. Briefly considering how far these statements appear to be justified by facts and about the meaning of the word, there arises an interesting question: Many words are used both in a general and a specific sense, and the two senses are not always clearly distinguished. Sometimes the generic meaning has been narrowed to the specific, while in other cases the specific meaning has been enlarged or altered. Examples of the former class are furnished by some ecclesiastical terms: apostles, prophets, bishops, elders, catholics. Examples of the latter class may also be found in a similar field: jesuits, puritans, methodists, and the like. Sometimes the meaning is both narrowed and enlarged; and a good or bad sense will subsist side by side with a neutral one. A curious effect is produced on the meaning of a word when the very term which is stigmatized by the world (e.g. Methodists) is adopted by the obnoxious or derided class; this tends to define the meaning. Or, again, the opposite result is produced, when the world refuses to allow some sect or body of men the possession of an honorable name which they have assumed, or applies it to them only in mockery or irony. The term 'Sophist' is one of those words of which the meaning has been both contracted and enlarged.

Q. It can be observed from the last paragraph :

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 24 The answer to this question can be found in the following extract from the last paragraph: Sometimes the meaning is both narrowed and enlarged; and a good or bad sense will subsist side by side with a neutral one.....The term 'Sophist' is one of those words of which the meaning has been both contracted and enlarged.

These lines clearly imply the contradictory meanings adopted by the word 'Sophist' and how it is had imbibed 'the good and the bad, the narrow and the broad' at the same times; in other words, it illustrates its dichotomous nature.

CAT Mock Test - 18 (06/11/2022) - Question 25

4 students participated in Indian High School mathematics tournament. The tournament had four rounds of tests. In each round, a test containing ten questions was given to each of the students. Each question carried 1 mark and there was no negative marking. The table above shows the rankings of the four students in each of the four rounds. Furthermore, the following facts are known about the tournament.

  • Overall ranking of B was more than overall ranking of A.
  • Each of the students solved at least 1 question correctly in each of the rounds.
  • No two students got the same overall ranking
  • A scored a perfect 10 in round 4

If A had the minimum possible score in round 1, who won the tournament?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 25

The above table is filled using the following analysis:

Overall ranking of B was more than overall ranking of A. analyze that since no 2 students got same ranking in a given round, there is a difference of at least one in the scores of two consecutive ranks, also the score range at rank 4 is (1 - 7), at rank 3 (2 - 8), rank 2 (3 - 9) & rank 1 is (4 - 10).

In rounds 1, 3 & 4, B's score is at least 1, 2 & 3 less than A's score respectively. So B's score is at least 6 less than A's score in these 3 rounds. In order that B's overall score is more than A's overall score, B must have 7 more score than A in round 2, which gives rise to only one possibility that in round 2, A's score must be 1 & B's score must be 8. From this, scores of C & D in round 2 must be 10 & 9 respectively. Also in other 3 rounds, B's score must be exactly 6 less than A's score in order to have more overall score than him. So B scored exactly 1 less than A in round 1, 2 less than A in round 3 & 3 less than A in round 4. Now it is given that A scored 10 in round 4, scores of A, B, C & D must be 10, 7, 8 and 9 respectively. Also in the table below, 'a' is the score of C in the round -1 which is less than or equal to (y - 2), 'b' is the score of C in round 3 which is less than or equal to (x - 3) & 'c' is the score of D in round 1. From here we can deduce that. Range of marks of C in round 1 is 2 - 8, range of marks of C in round 3 is 1 - 7 & Range of marks of D in round 1 is 1 - 7

If A has minimum possible score in round 1 which is 4, score of B, C & D become 3, 2 & 1 in the same round, giving us a total of x + 15, x + 16, ≤ x + 17 & x+ 18 score overall for A, B, C & D respectively, giving us D as winner.

CAT Mock Test - 18 (06/11/2022) - Question 26

4 students participated in Indian High School mathematics tournament. The tournament had four rounds of tests. In each round, a test containing ten questions was given to each of the students. Each question carried 1 mark and there was no negative marking. The table above shows the rankings of the four students in each of the four rounds. Furthermore, the following facts are known about the tournament.

  • Overall ranking of B was more than overall ranking of A.
  • Each of the students solved at least 1 question correctly in each of the rounds.
  • No two students got the same overall ranking
  • A scored a perfect 10 in round 4

If B won the tournament, which of the following cannot be the score of A in round 1?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 26

The above table is filled using the following analysis:

Overall ranking of B was more than overall ranking of A. analyze that since no 2 students got same ranking in a given round, there is a difference of at least one in the scores of two consecutive ranks, also the score range at rank 4 is (1 - 7), at rank 3 (2 - 8), rank 2 (3 - 9) & rank 1 is (4 - 10).

In rounds 1, 3 & 4, B's score is at least 1, 2 & 3 less than A's score respectively. So B's score is at least 6 less than A's score in these 3 rounds. In order that B's overall score is more than A's overall score, B must have 7 more score than A in round 2, which gives rise to only one possibility that in round 2, A's score must be 1 & B's score must be 8. From this, scores of C & D in round 2 must be 10 & 9 respectively. Also in other 3 rounds, B's score must be exactly 6 less than A's score in order to have more overall score than him. So B scored exactly 1 less than A in round 1, 2 less than A in round 3 & 3 less than A in round 4. Now it is given that A scored 10 in round 4, scores of A, B, C & D must be 10, 7, 8 and 9 respectively. Also in the table below, 'a' is the score of C in the round -1 which is less than or equal to (y - 2), 'b' is the score of C in round 3 which is less than or equal to (x - 3) & 'c' is the score of D in round 1. From here we can deduce that. Range of marks of C in round 1 is 2 - 8, range of marks of C in round 3 is 1 - 7 & Range of marks of D in round 1 is 1 - 7

Since minimum score of D is x + 17 + 1 = x + 18, in order to win, B will have to score at least x + 18 which is possible for y = 7.

CAT Mock Test - 18 (06/11/2022) - Question 27

4 students participated in Indian High School mathematics tournament. The tournament had four rounds of tests. In each round, a test containing ten questions was given to each of the students. Each question carried 1 mark and there was no negative marking. The table above shows the rankings of the four students in each of the four rounds. Furthermore, the following facts are known about the tournament.

  • Overall ranking of B was more than overall ranking of A.
  • Each of the students solved at least 1 question correctly in each of the rounds.
  • No two students got the same overall ranking
  • A scored a perfect 10 in round 4

How much did D score in round 2?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 27

The above table is filled using the following analysis:

Overall ranking of B was more than overall ranking of A. analyze that since no 2 students got same ranking in a given round, there is a difference of at least one in the scores of two consecutive ranks, also the score range at rank 4 is (1 - 7), at rank 3 (2 - 8), rank 2 (3 - 9) & rank 1 is (4 - 10).

In rounds 1, 3 & 4, B's score is at least 1, 2 & 3 less than A's score respectively. So B's score is at least 6 less than A's score in these 3 rounds. In order that B's overall score is more than A's overall score, B must have 7 more score than A in round 2, which gives rise to only one possibility that in round 2, A's score must be 1 & B's score must be 8. From this, scores of C & D in round 2 must be 10 & 9 respectively. Also in other 3 rounds, B's score must be exactly 6 less than A's score in order to have more overall score than him. So B scored exactly 1 less than A in round 1, 2 less than A in round 3 & 3 less than A in round 4. Now it is given that A scored 10 in round 4, scores of A, B, C & D must be 10, 7, 8 and 9 respectively. Also in the table below, 'a' is the score of C in the round -1 which is less than or equal to (y - 2), 'b' is the score of C in round 3 which is less than or equal to (x - 3) & 'c' is the score of D in round 1. From here we can deduce that. Range of marks of C in round 1 is 2 - 8, range of marks of C in round 3 is 1 - 7 & Range of marks of D in round 1 is 1 - 7

As filled in the table earlier, D scored 9 in round 2

CAT Mock Test - 18 (06/11/2022) - Question 28

4 students participated in Indian High School mathematics tournament. The tournament had four rounds of tests. In each round, a test containing ten questions was given to each of the students. Each question carried 1 mark and there was no negative marking. The table above shows the rankings of the four students in each of the four rounds. Furthermore, the following facts are known about the tournament.

  • Overall ranking of B was more than overall ranking of A.
  • Each of the students solved at least 1 question correctly in each of the rounds.
  • No two students got the same overall ranking
  • A scored a perfect 10 in round 4

What is the maximum possible difference between points of overall rank 1 and overall rank 4 holder?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 28

The above table is filled using the following analysis:

Overall ranking of B was more than overall ranking of A. analyze that since no 2 students got same ranking in a given round, there is a difference of at least one in the scores of two consecutive ranks, also the score range at rank 4 is (1 - 7), at rank 3 (2 - 8), rank 2 (3 - 9) & rank 1 is (4 - 10).

In rounds 1, 3 & 4, B's score is at least 1, 2 & 3 less than A's score respectively. So B's score is at least 6 less than A's score in these 3 rounds. In order that B's overall score is more than A's overall score, B must have 7 more score than A in round 2, which gives rise to only one possibility that in round 2, A's score must be 1 & B's score must be 8. From this, scores of C & D in round 2 must be 10 & 9 respectively. Also in other 3 rounds, B's score must be exactly 6 less than A's score in order to have more overall score than him. So B scored exactly 1 less than A in round 1, 2 less than A in round 3 & 3 less than A in round 4. Now it is given that A scored 10 in round 4, scores of A, B, C & D must be 10, 7, 8 and 9 respectively. Also in the table below, 'a' is the score of C in the round -1 which is less than or equal to (y - 2), 'b' is the score of C in round 3 which is less than or equal to (x - 3) & 'c' is the score of D in round 1. From here we can deduce that. Range of marks of C in round 1 is 2 - 8, range of marks of C in round 3 is 1 - 7 & Range of marks of D in round 1 is 1 - 7

Taking both x & y as 10, score of B is 32, minimum score of C = 18 + a + b = 18 + 2 + 1 = 21. Giving us a maximum difference of 11

CAT Mock Test - 18 (06/11/2022) - Question 29

Directions: A leading Consulting firm organized a Selection Process at an Engineering College, where they made all students undergo three rounds, and on the basis of the cumulative performance across the rounds, the best few people were selected. Only 8 students had managed to clear the stringent eligibility criteria laid down by the company, to appear for the selection process. Below we have the scores and ranks obtained by the 8 students who appeared for the Placement process. Every round had a maximum score of 10, and every score was in either integer or 0.5 format. People having tied average scores were ranked based on a secret procedure, not known. Certain information is missing from the table.

What is the maximum possible number of candidates who scored more than Arpit in PI?


Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 29 Arpit must have scored an average of at least 7.67 having finished with a rank of 4th. In that case Arpit must have got a minimum of 6.5 in PI. Thus only Paro, Garima, Tanu, Rohan and Mandar may have got more than Arpit.
CAT Mock Test - 18 (06/11/2022) - Question 30

Directions: A leading Consulting firm organized a Selection Process at an Engineering College, where they made all students undergo three rounds, and on the basis of the cumulative performance across the rounds, the best few people were selected. Only 8 students had managed to clear the stringent eligibility criteria laid down by the company, to appear for the selection process. Below we have the scores and ranks obtained by the 8 students who appeared for the Placement process. Every round had a maximum score of 10, and every score was in either integer or 0.5 format. People having tied average scores were ranked based on a secret procedure, not known. Certain information is missing from the table.

What is the minimum possible marks of Lucy?


Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 30 Since the person who came 6th got 23, the minimum Lucy can get is 23, as she came 5th.
CAT Mock Test - 18 (06/11/2022) - Question 31

Directions: A leading Consulting firm organized a Selection Process at an Engineering College, where they made all students undergo three rounds, and on the basis of the cumulative performance across the rounds, the best few people were selected. Only 8 students had managed to clear the stringent eligibility criteria laid down by the company, to appear for the selection process. Below we have the scores and ranks obtained by the 8 students who appeared for the Placement process. Every round had a maximum score of 10, and every score was in either integer or 0.5 format. People having tied average scores were ranked based on a secret procedure, not known. Certain information is missing from the table.

How many candidates definitely scored more than Manish in the Written Test?


Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 31 Manish may have scored a maximum average of 7.67, having finished 7th. Thus Manish may have got a maximum of 8 in the Written round. Thus only Paro, Lucy and Mandar definitely got more than him in the Written round.
CAT Mock Test - 18 (06/11/2022) - Question 32

Directions: A leading Consulting firm organized a Selection Process at an Engineering College, where they made all students undergo three rounds, and on the basis of the cumulative performance across the rounds, the best few people were selected. Only 8 students had managed to clear the stringent eligibility criteria laid down by the company, to appear for the selection process. Below we have the scores and ranks obtained by the 8 students who appeared for the Placement process. Every round had a maximum score of 10, and every score was in either integer or 0.5 format. People having tied average scores were ranked based on a secret procedure, not known. Certain information is missing from the table.

How many possible values can Arpit get in his PI?


Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 32 Arpit must have scored an average of at least 7.67 having finished with a rank of 4th. In that case Arpit must have got a minimum of 6.5 in PI. Again the maximum average that Arpit can get is 8.17, which means he can get a maximum score of 8 in the PI. Thus number of possible values that Arpit can get in the PI round is four(6.5, 7, 7.5, 8).
CAT Mock Test - 18 (06/11/2022) - Question 33

Amudha, Bharatan, Chandran, Dhinesh, Ezhil, Fani and Gowtham are seven people in a town. Any pair of them could either be strangers, acquaintances, or friends. All relationships are mutual. For example, if Amudha is a friend of Bharatan, then Bharatan is also a friend of Amudha. Similarly, if Amudha is a stranger to Bharatan, then Bharatan is also a stranger to Amudha.

Partial information about the number of friends, acquaintances, and strangers of each of these people among them is given in the table below.

The following additional facts are also known.

  1. Amudha, Bharatan, and Chandran are mutual strangers.
  2. Amudha, Dhinesh, and Fani are Ezil's friends.
  3. Chandran and Gowtham are friends.
  4. Every friend of Amudha is an acquaintance of Bharatan, and every acquaintance of Bharatan is a friend of Amudha.
  5. Every friend of Bharatan is an acquaintance of Amudha, and every acquaintance of Amudha is a friend of Bharatan.

How many friends does Ezhil have?


Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 33 Ezhil has a total of 3 friends.
CAT Mock Test - 18 (06/11/2022) - Question 34

Directions: Ram rents a cab for his daily Kishenganj-Joomla-Kishenganj round-trip. Distance between Kishenganj to Joomla is 200km

The cab-driver charges him Rs. 400 every day. On the 23rd of November, the cab driver informs Ram that there are two students Shyam and Mohit who wish to travel from Ranaghat to Joomla and then only Mohit back to Ranaghat, just for that day. Ranaghat is exact midway between Kishenganj and Joomla.

On the 30th of November, the cab driver informs Ram that there is one student Rishi who wishes to travel from Dhulna to Joomla and then he wants to return till Ranaghat, just for that day. Dhulna is exact midway between Ranaghat and Kishenganj.

Ram, on the both days the students came, told the cab-driver: "Keeping the original fare in mind and the basis for our calculations, I will only pay the amount which is arrived at after dividing the fare amongst all the co-riders proportionally (according to the respective distances we travel)."

Q. On the 23rd of November, Ram must pay the driver:

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 34 We can observe that the cab driver charges Ram 400 rupees for 400 km which means 1 rupee for 1 km.

Now on the 23rd of November,

Total distance Ram travels alone = 100km + 100km = 200km

And 100km he travels with both Shyam and Mohit and 100km with only Mohit

So fare of Ram = 200+ 100/3 +100/2= 100x (17/6) = 1700/6= Rs. 283.33

CAT Mock Test - 18 (06/11/2022) - Question 35

Directions: Ram rents a cab for his daily Kishenganj-Joomla-Kishenganj round-trip. Distance between Kishenganj to Joomla is 200km

The cab-driver charges him Rs. 400 every day. On the 23rd of November, the cab driver informs Ram that there are two students Shyam and Mohit who wish to travel from Ranaghat to Joomla and then only Mohit back to Ranaghat, just for that day. Ranaghat is exact midway between Kishenganj and Joomla.

On the 30th of November, the cab driver informs Ram that there is one student Rishi who wishes to travel from Dhulna to Joomla and then he wants to return till Ranaghat, just for that day. Dhulna is exact midway between Ranaghat and Kishenganj.

Ram, on the both days the students came, told the cab-driver: "Keeping the original fare in mind and the basis for our calculations, I will only pay the amount which is arrived at after dividing the fare amongst all the co-riders proportionally (according to the respective distances we travel)."

Q. What should be Rishi's contribution to the fare on the 30th of November?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 35 We can observe that the cab driver charges Ram 400 rupees for 400 km which means 1 rupee for 1 km.

Fare to be paid by Rishi on the 30th of November = 150/2 + 100/2= Rs. 125

(Rishi travelled a distance of 150 km while going and 100 km while coming back)

Ram paid the rest Rs. 275 on the 30th of November

CAT Mock Test - 18 (06/11/2022) - Question 36

Directions: Ram rents a cab for his daily Kishenganj-Joomla-Kishenganj round-trip. Distance between Kishenganj to Joomla is 200km

The cab-driver charges him Rs. 400 every day. On the 23rd of November, the cab driver informs Ram that there are two students Shyam and Mohit who wish to travel from Ranaghat to Joomla and then only Mohit back to Ranaghat, just for that day. Ranaghat is exact midway between Kishenganj and Joomla.

On the 30th of November, the cab driver informs Ram that there is one student Rishi who wishes to travel from Dhulna to Joomla and then he wants to return till Ranaghat, just for that day. Dhulna is exact midway between Ranaghat and Kishenganj.

Ram, on the both days the students came, told the cab-driver: "Keeping the original fare in mind and the basis for our calculations, I will only pay the amount which is arrived at after dividing the fare amongst all the co-riders proportionally (according to the respective distances we travel)."

Q. What would have been the fare for Ram on the 23rd of November, had Mohit been his only co-passenger that day?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 36 We can observe that the cab driver charges Ram 400 rupees for 400 km which means 1 rupee for 1 km.

Had Mohit been his only co-passenger on the 23rd of November,

Ram's share of the fare = 200 +100/2 + 100/2 = Rs. 300

CAT Mock Test - 18 (06/11/2022) - Question 37

Directions: Ram rents a cab for his daily Kishenganj-Joomla-Kishenganj round-trip. Distance between Kishenganj to Joomla is 200km

The cab-driver charges him Rs. 400 every day. On the 23rd of November, the cab driver informs Ram that there are two students Shyam and Mohit who wish to travel from Ranaghat to Joomla and then only Mohit back to Ranaghat, just for that day. Ranaghat is exact midway between Kishenganj and Joomla.

On the 30th of November, the cab driver informs Ram that there is one student Rishi who wishes to travel from Dhulna to Joomla and then he wants to return till Ranaghat, just for that day. Dhulna is exact midway between Ranaghat and Kishenganj.

Ram, on the both days the students came, told the cab-driver: "Keeping the original fare in mind and the basis for our calculations, I will only pay the amount which is arrived at after dividing the fare amongst all the co-riders proportionally (according to the respective distances we travel)."

Ram managed to save how much money on both the days combined?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 37 We can observe that the cab driver charges Ram 400 rupees for 400 km which means 1 rupee for 1 km.

Total fare both days combined = Rs. 800

Fare paid by Ram = 283.33 + 275 = Rs. 558.33

So he saved = 800 - 558.33 = Rs. 241.67

CAT Mock Test - 18 (06/11/2022) - Question 38

Directions: At Lacy's Technology Solutions, a special area of the parking space is reserved for the top C-level executives: CEO, CFO, CTO, COO and CMO. The parking spaces are also lined up in that order. The names of the C-Level Executives(in no particular order) are Vinodh, Frank, Rajat, Pankaj and Prince. The cars they travel in are of the following make(in no particular order) - Amaze, Ciaz, Audi, Honda City and BMW. The following information is also known about the cars:

  • The car in the first space is a Honda City

  • The Ciaz is parked between the Amaze and the Audi

  • The car in the last space is BMW

  • Prince's car is parked next to Frank's.

  • Rajat travels in a Ciaz

  • Vinodh's car is parked between Pankaj's and Prince's

  • Pankaj's car is parked in the last space

What is the designation of the person who travels in a Honda City?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 38 Since the Parking spaces are lined up in order of Designations - CEO, CFO, CTO, COO and CMO

Now based on the clues provided,

First space is reserved for Honda City, and the car in the Fifth and last space is a BMW.

It is also known that the car in the Fifth and last space belongs to Pankaj.

Since Vinodh's car is between Pankaj's and Prince's, Vinodh's car must in fourth parking space, and Prince's car in the third parking space.

But it is also mentioned that Prince's car is next to Frank's. Hence Frank's car must be in the second parking space, while the first parking space belongs to Rajat's car.

Thus the make of the car for second, third and fourth parking slots remains to be plugged. But since Ciaz is in between, Amaze and Audi, the third parking slot is reserved for the Ciaz. However the Amaze and the Audi can alternate amongst the second and fouthr parking slot

Hence the Table now looks like this, on plugging the above deductions.

From the final table, we can see that the person who travels in a Honda City, is the CEO

CAT Mock Test - 18 (06/11/2022) - Question 39

Directions: At Lacy's Technology Solutions, a special area of the parking space is reserved for the top C-level executives: CEO, CFO, CTO, COO and CMO. The parking spaces are also lined up in that order. The names of the C-Level Executives(in no particular order) are Vinodh, Frank, Rajat, Pankaj and Prince. The cars they travel in are of the following make(in no particular order) - Amaze, Ciaz, Audi, Honda City and BMW. The following information is also known about the cars:

  • The car in the first space is a Honda City

  • The Ciaz is parked between the Amaze and the Audi

  • The car in the last space is BMW

  • Prince's car is parked next to Frank's.

  • Rajat travels in a Ciaz

  • Vinodh's car is parked between Pankaj's and Prince's

  • Pankaj's car is parked in the last space

The fourth parking space is designated for which car?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 39 Since the Parking spaces are lined up in order of Designations - CEO, CFO, CTO, COO and CMO

Now based on the clues provided,

First space is reserved for Honda City, and the car in the Fifth and last space is a BMW.

It is also known that the car in the Fifth and last space belongs to Pankaj.

Since Vinodh's car is between Pankaj's and Prince's, Vinodh's car must in fourth parking space, and Prince's car in the third parking space.

But it is also mentioned that Prince's car is next to Frank's. Hence Frank's car must be in the second parking space, while the first parking space belongs to Rajat's car.

Thus the make of the car for second, third and fourth parking slots remains to be plugged. But since Ciaz is in between, Amaze and Audi, the third parking slot is reserved for the Ciaz. However the Amaze and the Audi can alternate amongst the second and fourth parking slot

Hence the Table now looks like this, on plugging the above deductions.

From the final table, we can see that the fourth parking space could be allotted to either Audi or Amaze. Hence, Cannot Be Determined.

CAT Mock Test - 18 (06/11/2022) - Question 40

Directions: At Lacy's Technology Solutions, a special area of the parking space is reserved for the top C-level executives: CEO, CFO, CTO, COO and CMO. The parking spaces are also lined up in that order. The names of the C-Level Executives(in no particular order) are Vinodh, Frank, Rajat, Pankaj and Prince. The cars they travel in are of the following make(in no particular order) - Amaze, Ciaz, Audi, Honda City and BMW. The following information is also known about the cars:

  • The car in the first space is a Honda City

  • The Ciaz is parked between the Amaze and the Audi

  • The car in the last space is BMW

  • Prince's car is parked next to Frank's.

  • Rajat travels in a Ciaz

  • Vinodh's car is parked between Pankaj's and Prince's

  • Pankaj's car is parked in the last space

What car does Frank travel in?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 40 Since the Parking spaces are lined up in order of Designations - CEO, CFO, CTO, COO and CMO

Now based on the clues provided,

First space is reserved for Honda City, and the car in the Fifth and last space is a BMW.

It is also known that the car in the Fifth and last space belongs to Pankaj.

Since Vinodh's car is between Pankaj's and Prince's, Vinodh's car must in fourth parking space, and Prince's car in the third parking space.

But it is also mentioned that Prince's car is next to Frank's. Hence Frank's car must be in the second parking space, while the first parking space belongs to Rajat's car.

Thus the make of the car for second, third and fourth parking slots remains to be plugged. But since Ciaz is in between, Amaze and Audi, the third parking slot is reserved for the Ciaz. However the Amaze and the Audi can alternate amongst the second and fourth parking slot

Hence the Table now looks like this, on plugging the above deductions.

From the final table, we can see that Frank's car could be either Audi or Amaze. Hence, Cannot Be Determined.

CAT Mock Test - 18 (06/11/2022) - Question 41

Directions : At Lacy's Technology Solutions, a special area of the parking space is reserved for the top C-level executives: CEO, CFO, CTO, COO and CMO. The parking spaces are also lined up in that order. The names of the C-Level Executives(in no particular order) are Vinodh, Frank, Rajat, Pankaj and Prince. The cars they travel in are of the following make(in no particular order) - Amaze, Ciaz, Audi, Honda City and BMW. The following information is also known about the cars:

  • The car in the first space is a Honda City

  • The Ciaz is parked between the Amaze and the Audi

  • The car in the last space is BMW

  • Prince's car is parked next to Frank's.

  • Rajat travels in a Ciaz

  • Vinodh's car is parked between Pankaj's and Prince's

  • Pankaj's car is parked in the last space

How many of these can possibly form a correct combination?

(I) COO - Vinodh - Amaze

(II) CEO - Raj - Ciaz

(III) CMO - Pankaj - BMW

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 41 Since the Parking spaces are lined up in order of Designations - CEO, CFO, CTO, COO and CMO

Now based on the clues provided,

First space is reserved for Honda City, and the car in the Fifth and last space is a BMW.

It is also known that the car in the Fifth and last space belongs to Pankaj.

Since Vinodh's car is between Pankaj's and Prince's, Vinodh's car must in fourth parking space, and Prince's car in the third parking space.

But it is also mentioned that Prince's car is next to Frank's. Hence Frank's car must be in the second parking space, while the first parking space belongs to Rajat's car.

Thus the make of the car for second, third and fourth parking slots remains to be plugged. But since Ciaz is in between, Amaze and Audi, the third parking slot is reserved for the Ciaz. However the Amaze and the Audi can alternate amongst the second and fourth parking slot

Hence the Table now looks like this, on plugging the above deductions.

From the final table, we can see that both I) COO - Vinodh - Amaze and III) CMO - Pankaj - BMW can be possible correct combinations.

CAT Mock Test - 18 (06/11/2022) - Question 42

Directions: There are eight people Ram, Shyam, Mohan, Karim, Karan, Arjun, John, Peter are sitting in a row. Some of them are facing north and some of them are facing south.

  1. Mohan sits 3 places away from Karim and he sits at one end of the row. Mohan and Karim both are facing south.

  2. Ram and Karim both are facing different direction.

  3. Those who are sitting at the ends are facing the same direction.

  4. Peter and Karan are also facing different direction.

  5. The number of people sitting to the right of Arjun is one less than the number of people sitting to right of Karan

  6. John sits to the immediate right of Shyam.

  7. There are exactly two people between Ram and Mohan.

  8. Karim is immediate right of Arjun. While Karan sits 3rd to the left of Karim.

What is the total number of people facing north?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 42

3 persons are facing north.

CAT Mock Test - 18 (06/11/2022) - Question 43

Directions: There are eight people Ram, Shyam, Mohan, Karim, Karan, Arjun, John, Peter are sitting in a row. Some of them are facing north and some of them are facing south.

  1. Mohan sits 3 places away from Karim and he sits at one end of the row. Mohan and Karim both are facing south.

  2. Ram and Karim both are facing different direction.

  3. Those who are sitting at the ends are facing the same direction.

  4. Peter and Karan are also facing different direction.

  5. The number of people sitting to the right of Arjun is one less than the number of people sitting to right of Karan

  6. John sits to the immediate right of Shyam.

  7. There are exactly two people between Ram and Mohan.

  8. Karim is immediate right of Arjun. While Karan sits 3rd to the left of Karim.

Which pair is facing same direction?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 43

Karan, Karim are sitting in same direction.

CAT Mock Test - 18 (06/11/2022) - Question 44

Directions: There are eight people Ram, Shyam, Mohan, Karim, Karan, Arjun, John, Peter are sitting in a row. Some of them are facing north and some of them are facing south.

  1. Mohan sits 3 places away from Karim and he sits at one end of the row. Mohan and Karim both are facing south.

  2. Ram and Karim both are facing different direction.

  3. Those who are sitting at the ends are facing the same direction.

  4. Peter and Karan are also facing different direction.

  5. The number of people sitting to the right of Arjun is one less than the number of people sitting to right of Karan

  6. John sits to the immediate right of Shyam.

  7. There are exactly two people between Ram and Mohan.

  8. Karim is immediate right of Arjun. While Karan sits 3rd to the left of Karim.

The person sitting second to the left of Shyam is:

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 44

Karim is sitting second to left of Shyam.

CAT Mock Test - 18 (06/11/2022) - Question 45

An isosceles Δ ADB with base angles ∠DAB = ∠ABD = 80°. Another isosceles ΔCDB is constructed taking with base angles ∠CDB =∠CBD = 40°.

Find AC2 BD2 if it is given that area of cyclic quadrilateral ABCD so formed has area 12 square units.

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 45

Now Area of ADC + ABC = 12

1/2xz sin⁡60º + 1/2xy sin⁡120º = 12

√3(xz+xy)/4 = 12

xz + xy = 48/√3 = 16√3

Using Ptolemy's theorem product of diagonals

(BD)(AC) = xz + yx

Thus AC2BD2 = (xz + yx)2 = (16√3)2 = 768

CAT Mock Test - 18 (06/11/2022) - Question 46

A string is length 10 meters is divided in two parts by a random cut. What is the probability that the longer part is at least twice the smaller part?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 46

In the shape AB is a string of 10 meters C; D two points are dividing it in 3 equal parts.

Whenever we cut string in between AC or DB

Bigger part is at least twice the smaller part.

So probability (AC + DB) / (AC + CD + DB) = 2/3

CAT Mock Test - 18 (06/11/2022) - Question 47

Rahul and Rajesh together can complete a piece of work in 12 days, which Rajesh and Ravi together can complete in 16 days. After Rahul has been working at it for 5 days, he leaves and Rajesh takes over for the next 7 days, before he leaves too, and finally Ravi finishes off the remaining work in 13 days. In how many days Ravi alone could have alone done the work?


Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 47 Let us assume that the entire work can be completed by Rahul alone, in 'A' number of days, Rajesh alone, in 'B' number of days, and Ravi alone, in 'C' number of days.

So the work done in one day by Rahul, Rajesh and Ravi individually is 1/A, 1/B, 1/C respectively.

As per question,

1/A + 1/B = 1/12

1/B + 1/C = 1/16

and

5/A + 7/B + 13/C =1

or (5/A + 5/B) + (2/B + 2/C) + 11/C = 1

or 5(1/A + 1/B) + 2(1/B + 1/C) + 11/C =1

or 5/12 + 2/16 + 11/C = 1

or C = 24

Hence Ravi can alone do the work in 24 days.

CAT Mock Test - 18 (06/11/2022) - Question 48

Three faces of a biased die are colored with yellow, blue and red. The dice is rolled 21 times and the number of outcomes of n (1 to 6) is n (1 to 6 of the 21 outcomes). But the probability of the outcome of each color is equal for all the colours. Which faces were coloured blue, given that the variance of the number set coloured with blue is highest among the three respective variances of yellow, blue and red?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 48 The number of outcomes of

Face '1' is 1

Face '2' is 2

Face '3' is 3

Face '4' is 4

Face '5' is 5

Face '6' is 6

Now from arithmetic progression we know the sum of the first and last element is equal to second and second last and so on.

Probability being the same implies sum of them being the same.

Thus the paired numbers are (1, 6); (2, 5); (3, 4).

The variance will be high for the farthest pair, i.e. (1,6)

CAT Mock Test - 18 (06/11/2022) - Question 49

A cube is painted on five visible faces. Now it is cut in 64 identical smaller cubes by applying three equidistant cuts along each edge. Among 64 identical smaller cubes, how many cubes have no painted face?


Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 49 After cutting, there 64 identical smaller cubes i.e cube’s dimensions are 4 X 4 X 4

One face is not painted. Therefore, there will be 4 cubes on this face which are not painted.

Similarly, there will be 8 more cubes.

Hence, total number of cubes = 12

CAT Mock Test - 18 (06/11/2022) - Question 50

If N is a 26 digit number, and M= log 10.

Let F(x) = logN/M, what will be the integral part of F(x)?


Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 50 The integral part of the logarithm (base 10) of a natural number is always 1 less than the no. of digits in it. So the integral part of f(x) is 25.
CAT Mock Test - 18 (06/11/2022) - Question 51

All numbers from 1 to 300 (in decimal system) are written in base 8 and base 11 systems. How many of the numbers will have a non-zero unit digit in both base 8 and base 11 notations?


Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 51 A number in decimal system will have a zero unit digit in base 8 system only if it is divisible by 8.

A number in decimal system will have a zero unit digit in base 11 system only if it is divisible by 11.

Thus all we need to identify are those numbers which are neither divisible by 8 nor divisible by 11.

For this we first compute all those numbers which are divisible by either 8 or 11.

No. of numbers divisible by 8 = |300/8| = 37.

No. of numbers divisible by 11 = |300/11| = 27.

No. of numbers divisible by 88 = |300/88| = 3.

Thus no. of numbers divisible by either 8 or 11 = 37 + 27 - 3 = 61.

Thus no. of numbers neither divisible by 8, nor by 11 is = 300 - 61 = 239.

CAT Mock Test - 18 (06/11/2022) - Question 52

If S = 58 + 158 + 258 + 358 + 458 + 558 + 658 + 758 then what is the remainder if S is divided by 24?


Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 52

(1) Square of any odd number can be represented as 8n + 1.

(2) Square of any number (odd or even) can be represented as 3n + 1 if the number is not divisible by 3.

(3) Square of any number (odd and even) can be represented as 9n, if the number is divisible by 3, where n is a whole number, and not the same in all the three given statements.

So, it can be inferred that the square of any odd number can be represented as

(i) 24n + 1 if the number is not divisible by 3 and

(ii) 72n + 9 or 24n + 9 if the number is divisible by 3.

Using the above inference or rather fact we find the desired answer

So, the remainder will be 1 + 9 + 1 + 1 + 9 + 1 + 1 + 9 = 32i.e. 32 − 24 = 8

CAT Mock Test - 18 (06/11/2022) - Question 53

John takes twice as much time as Jack to finish a job. Jack and Jim together take one-thirds of the time to finish the job than John takes working alone. Moreover, in order to finish the job, John takes three days more than that taken by three of them working together. In how many days will Jim finish the job working alone?


Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 53 Let Jack take "t" days to complete the work, then John will take "2t" days to complete the work. So work done by Jack in one day is (1/t) and John is (1/2t).

Now let Jim take "m" days to complete the work. According to question, Hence Jim takes "2t" time to complete the work.

Now let the three of them complete the work in "p" days. Hence John takes "p+3" days to complete the work.

or m = 1. Hence Jim will take (1 + 3) = 4 days to complete the work. Similarly John will also take 4 days to complete the work

CAT Mock Test - 18 (06/11/2022) - Question 54

For the same principal amount, the compound interest for two years at 5% per annum exceeds the simple interest for three years at 3% per annum by Rs 1125. Then the principal amount in rupees is


Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 54 For two years the compound interest is

For three years the simple interest is

Now R(1)= 5% and R=3%

Solving we get P = 90000

CAT Mock Test - 18 (06/11/2022) - Question 55

How many 4-digit numbers, each greater than 1000 and each having all four digits distinct, are there with 7 coming before 3?


Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 55 Here there are two cases possible

Case 1: When 7 is at the left extreme In that case 3 can occupy any of the three remaining places and the remaining two places can be taken by (0, 1, 2, 4, 5, 6, 8, 9)

So total ways 3(8)(7)= 168

Case 2: When 7 is not at the extremes Here there are 3 cases possible. And the remaining two places can be filled in 7(7) ways.(Remember 0 can't come on the extreme left)

Hence in total 3(7)(7) = 147 ways

Total ways 168 + 147 = 315 ways

CAT Mock Test - 18 (06/11/2022) - Question 56

Ajit, Rajat and Abhay can do a piece of work in 10, 12 and 15 days respectively. Ajit works for two days and then Rajat joins him. They together work for some days and then leave. Abhay completes the remaining work. If work gets completed in 35/4 days and they get ₹ 5000 for the work, find the share of Abhay in the money.

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 56 Let the total units of work to be done be 60 units(LCM of 10,12 and 15)

Now Ajit does 6 units in 1 day, Rajat 5 and Abhay 4.

Now Initially Ajit worked for 2 two days so he would have completed 12 units of work.

So remaining work is 48 units and time is 35/4 - 2 = 27/4

11x + 4y = 48

x + y = 27/4

on solving we get x= 3 and y = 15/4

So in 15/4 Days Abhay will do 15/4 x 4 = 15 units of work.

So Abhay's share in work = 15/60 = 25%

So his share would be 25*5000/100 = Rs 1250.

CAT Mock Test - 18 (06/11/2022) - Question 57

X and Y are three digit numbers such that all the three digits in each number is non zero. Also X + Y = 1000. How many different values X can take?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 57 Let X = abc and Y = def be three digit numbers

As per the condition

a b c

+

d e f

-------------

1 0 0 0

We have

c + f = 10

b + e = 9 and

a + d = 9

the possible solutions for c and f are { (1,9), (2,8), (3,7), (4,6), (5,5), (6,4), (7,3), (8,2), and (9,1)} i.e. 9 solutions

Similarly for b and e there are 8 possibilities; same is true for the pair a & d.

Hence the required value of X = 9x8x8 =576.

CAT Mock Test - 18 (06/11/2022) - Question 58

Given that f(x) = 1/|x| and g(x) = x2/|x| are two curves. At how many points do these curves intersect each others?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 58 The given equation are

Both the equations can be represented in graph as shown below,

Hence as can be seen there are only two intersection points.

So, (3) is the correct option.

CAT Mock Test - 18 (06/11/2022) - Question 59

Two circles of radii 4 m and 1 m touch each other externally. All possible common tangents are drawn to form a triangle. Then area of this triangle will be

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 59 Let the radius of smaller circle be r = 1 with centre C1 and radius of bigger circle be

R = 4 with centre C2 and plot the figure and mark vertices of triangle as A, B and C. Let AC1 = x and BC = 2y

In Triangle XAC1

sin⁡θ = C1X/AC1 = 1/x

In Triangle YAC2

sin⁡θ = C2Y/AC2 = 4/(X+5)

Hence (x + 5)/x = 4 or x = 5/3

Now tan⁡θ = (BC/2)/(x+1) = 3y/8

Also In Triangle XAC1

tan⁡θ = 1/((√x2−1))= ¾

S0, 3y/8 = 3/4 or y = 2

Area of ΔABC = 1/2(x+r)(BC) = (5/3 + 1)2 = 16/3

CAT Mock Test - 18 (06/11/2022) - Question 60

Find the sum of areas enclosed between arc AB and line AB, between arc BC and line BC and between arc CD and line CD where ABCD is isosceles trapezium inscribed in a circle of radius 20 cm so that the non-parallel sides are 20 cm each and AD is the diameter of the circle?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 60

Since AD is the diameter of the circle, we know that ∠ABD = 90°. In ΔABD, since AB = ½ AD, we can conclude that ∠D = 30° and ∠A = 60°.

Drop BE ^ AD and CF ^ AD. Since ΔBEA is a 30° - 60° - 90° triangle,

BE = 10√3 cm and AE = 10 cm.

Since ABCD is an isosceles trapezium, we get AE = FD = 10 cm and EF = BC = 20 cm.

Thus the area of trapezium ABCD = ½ × (20 + 40) × 10√3 = 300√3 cm2

Sum of areas enclosed between arc AB and line AB, between arc BC and line CD and arc CD

=Area of semi circle - Area of trapezium ABCD

=½ π (20)2 - 300√3

=200 π - 300 √3

CAT Mock Test - 18 (06/11/2022) - Question 61

In the following figure, ABCD is a rectangle with AB = 25cm and BC =12cm. If Angle DEC = 90 degrees then what is the radius of the circle inscribed in the Triangle DEC?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 61

Considering adjacent figure,

252 = a2 + b2 −…(i)

Area of triangle

OR a⋆b = 300…(ii)

Solving equation (i) and

(ii) we get

a = 20 and b = 15

In-radius is given by, r = Δ/s.So r = 150/30 = 5

Hence the correct option is (2)

CAT Mock Test - 18 (06/11/2022) - Question 62

In the following figure ∆ABC is a right angled at B. Three semicircles are drawn taking sides as AB, BC, and CA respectively. What is the maximum possible area of the shaded region if AC = 4cm?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 62

As can be seen in the given figure,

AB2 + BC2 = AC2

And, Area of the shaded region = (Area of the two smaller semi- circles) + (Area of the Δ) - (Area of the Bigger semi-circle)

Let AB = x&BC = y. Now, x2 + y2 = 16

Area of ΔABC = xy/2, Area of bigger semi-circle =2π

Area of the smaller semi-circles = π(x2 + y2)/4 = 2π

Hence the area of the shaded region is = xy/2

So the area of the shaded region is maximum when x = y = 2√2

And, Area of the shaded region = (2π) + xy/2 − 2π

Hence, maximum area is 4cm2

Hence the correct option is (4)

CAT Mock Test - 18 (06/11/2022) - Question 63

If 22012 - 22011 - 22010 + 22009 = k.22009. What is the value of k2

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 63 22012 - 22011 - 22010 + 22009 = 22009(23 - 22 - 21 + 1) = 3.22009

Hence k = 3 and k2 = 9.

CAT Mock Test - 18 (06/11/2022) - Question 64

If (32)n(13)n-1 = (198)n+4. (Read (32)n as 32 in base n). What is the value of n + 3?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 64 (32)n = 3n + 2

(13)n-1 =n -1 + 3 = n + 2

And (198)n+4 = (n + 4)2 + 9(n + 4) + 8

Therefore, (3n + 2)(n + 2) = (n + 4)2 + 9(n + 4) + 8

So, 2n2 - 9n - 56 = 0

Solving this, we have n = 8 or -7/2

Since n is greater than 0, n = 8 and n + 3 = 11.

CAT Mock Test - 18 (06/11/2022) - Question 65

The cost of 3 pens, 2 pencils and 6 erasers is Rs.23 while the cost of 2 pens, 5 pencils and an eraser is Rs.12. Then the cost of 4 pens and 21 pencils is greater than the cost of 7 erasers by

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 65 Let the cost of Pen be x, Pencil be y and Eraser be z.

As per the question

3x + 2y + 6z = 23.....(1) and 2x + 5y + z = 12 ......(2)

Multiplying (1) equation by 2 and (2) by 5 and subtracting we get,

4x + 21y - 7z = 14, which is the required answer.

Hence the correct option is (2).

CAT Mock Test - 18 (06/11/2022) - Question 66

Consider two positive integers a and b such that aabb is divisible by 2000. What is the least possible value of the product ab?

Detailed Solution for CAT Mock Test - 18 (06/11/2022) - Question 66 If 2000 divides aa bb, then either a or b is divisble by 2 and similarly a or b is divisble by 5. Therefore, ab is divisble by 10.

Consider a = 10, b = 1

2000 divides 1010 11

Hence, the least possible value of the product ab is 10

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