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CAT Mini Mock Test - 9 - CAT MCQ


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30 Questions MCQ Test - CAT Mini Mock Test - 9

CAT Mini Mock Test - 9 for CAT 2025 is part of CAT preparation. The CAT Mini Mock Test - 9 questions and answers have been prepared according to the CAT exam syllabus.The CAT Mini Mock Test - 9 MCQs are made for CAT 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for CAT Mini Mock Test - 9 below.
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CAT Mini Mock Test - 9 - Question 1
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This year alone, more than 8,600 stores could close, according to industry estimates, many of them the brand- name anchor outlets that real estate developers once stumbled over themselves to court. Already there have been 5,300 retail closings this year...Sears Holdings—which owns Kmart—said in March that there's "substantial doubt" it can stay in business altogether, and will close 300 stores this year. So far this year, nine national retail chains have filed for bankruptcy.

Local jobs are a major casualty of what analysts are calling, with only a hint of hyperbole, the retail apocalypse. Since 2002, department stores have lost 448,000 jobs, a 25% decline, while the number of store closures this year is on pace to surpass the worst depths of the Great Recession. The growth of online retailers, meanwhile, has failed to offset those losses, with the e-commerce sector adding just 178,000 jobs over the past 15 years. Some of those jobs can be found in the massive distribution centers Amazon has opened across the country, often not too far from malls the company helped shutter.

But those are workplaces, not gathering places. The mall is both. And in the 61 years since the first enclosed one opened in suburban Minneapolis, the shopping mall has been where a huge swath of middle-class America went for far more than shopping. It was the home of first jobs and blind dates, the place for family photos and ear piercings, where goths and grandmothers could somehow walk through the same doors and find something they all liked. Sure, the food was lousy for you and the oceans of parking lots encouraged car- heavy development, something now scorned by contemporary planners. But for better or worse, the mall has been America's public square for the last 60 years.

So what happens when it disappears?

Think of your mall. Or think of the one you went to as a kid. Think of the perfume clouds in the department stores. The fountains splashing below the skylights. The cinnamon wafting from the food court. As far back as ancient Greece, societies have congregated around a central marketplace. In medieval Europe, they were outside cathedrals. For half of the 20th century and almost 20 years into the new one, much of America has found their agora on the terrazzo between Orange Julius and Sbarro, Waldenbooks and the Gap, Sunglass Hut and Hot Topic.

That mall was an ecosystem unto itself, a combination of community and commercialism peddling everything you needed and everything you didn't: Magic Eye posters, wind catchers, Air Jordans. ...

A growing number of Americans, however, don't see the need to go to any Macy's at all. Our digital lives are frictionless and ruthlessly efficient, with retail and romance available at a click. Malls were designed for leisure, abundance, ambling. You parked and planned to spend some time. Today, much of that time has been given over to busier lives and second jobs and apps that let you swipe right instead of haunt the food court. Malls, says Harvard business professor Leonard Schlesinger, "were built for patterns of social interaction that increasingly don't exist."

Q.

The central idea of this passage is that

Detailed Solution for CAT Mini Mock Test - 9 - Question 1

Although the passage mentions the economic setback due to closing of malls, but it also says that some of these jobs can be found in the centres Amazon has opened. The main focus of Passage is the social function that malls used to perform which is losing itself.
Option C is the correct answer.

CAT Mini Mock Test - 9 - Question 2
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This year alone, more than 8,600 stores could close, according to industry estimates, many of them the brand- name anchor outlets that real estate developers once stumbled over themselves to court. Already there have been 5,300 retail closings this year...Sears Holdings—which owns Kmart—said in March that there's "substantial doubt" it can stay in business altogether, and will close 300 stores this year. So far this year, nine national retail chains have filed for bankruptcy.

Local jobs are a major casualty of what analysts are calling, with only a hint of hyperbole, the retail apocalypse. Since 2002, department stores have lost 448,000 jobs, a 25% decline, while the number of store closures this year is on pace to surpass the worst depths of the Great Recession. The growth of online retailers, meanwhile, has failed to offset those losses, with the e-commerce sector adding just 178,000 jobs over the past 15 years. Some of those jobs can be found in the massive distribution centers Amazon has opened across the country, often not too far from malls the company helped shutter.

But those are workplaces, not gathering places. The mall is both. And in the 61 years since the first enclosed one opened in suburban Minneapolis, the shopping mall has been where a huge swath of middle-class America went for far more than shopping. It was the home of first jobs and blind dates, the place for family photos and ear piercings, where goths and grandmothers could somehow walk through the same doors and find something they all liked. Sure, the food was lousy for you and the oceans of parking lots encouraged car- heavy development, something now scorned by contemporary planners. But for better or worse, the mall has been America's public square for the last 60 years.

So what happens when it disappears?

Think of your mall. Or think of the one you went to as a kid. Think of the perfume clouds in the department stores. The fountains splashing below the skylights. The cinnamon wafting from the food court. As far back as ancient Greece, societies have congregated around a central marketplace. In medieval Europe, they were outside cathedrals. For half of the 20th century and almost 20 years into the new one, much of America has found their agora on the terrazzo between Orange Julius and Sbarro, Waldenbooks and the Gap, Sunglass Hut and Hot Topic.

That mall was an ecosystem unto itself, a combination of community and commercialism peddling everything you needed and everything you didn't: Magic Eye posters, wind catchers, Air Jordans. ...

A growing number of Americans, however, don't see the need to go to any Macy's at all. Our digital lives are frictionless and ruthlessly efficient, with retail and romance available at a click. Malls were designed for leisure, abundance, ambling. You parked and planned to spend some time. Today, much of that time has been given over to busier lives and second jobs and apps that let you swipe right instead of haunt the food court. Malls, says Harvard business professor Leonard Schlesinger, "were built for patterns of social interaction that increasingly don't exist."

Q.

Why does the author say in paragraph 2, 'the massive distribution centers Amazon has opened across the country, often not too far from malls the company helped shutter'?​

Detailed Solution for CAT Mini Mock Test - 9 - Question 2

Through this statement of paragraph 2, author clearly states the irony of the situation. While the malls are shutting down, Amazon is opening its distribution centres near to the malls.
Option A is the correct answer.

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CAT Mini Mock Test - 9 - Question 3
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This year alone, more than 8,600 stores could close, according to industry estimates, many of them the brand- name anchor outlets that real estate developers once stumbled over themselves to court. Already there have been 5,300 retail closings this year...Sears Holdings—which owns Kmart—said in March that there's "substantial doubt" it can stay in business altogether, and will close 300 stores this year. So far this year, nine national retail chains have filed for bankruptcy.

Local jobs are a major casualty of what analysts are calling, with only a hint of hyperbole, the retail apocalypse. Since 2002, department stores have lost 448,000 jobs, a 25% decline, while the number of store closures this year is on pace to surpass the worst depths of the Great Recession. The growth of online retailers, meanwhile, has failed to offset those losses, with the e-commerce sector adding just 178,000 jobs over the past 15 years. Some of those jobs can be found in the massive distribution centers Amazon has opened across the country, often not too far from malls the company helped shutter.

But those are workplaces, not gathering places. The mall is both. And in the 61 years since the first enclosed one opened in suburban Minneapolis, the shopping mall has been where a huge swath of middle-class America went for far more than shopping. It was the home of first jobs and blind dates, the place for family photos and ear piercings, where goths and grandmothers could somehow walk through the same doors and find something they all liked. Sure, the food was lousy for you and the oceans of parking lots encouraged car- heavy development, something now scorned by contemporary planners. But for better or worse, the mall has been America's public square for the last 60 years.

So what happens when it disappears?

Think of your mall. Or think of the one you went to as a kid. Think of the perfume clouds in the department stores. The fountains splashing below the skylights. The cinnamon wafting from the food court. As far back as ancient Greece, societies have congregated around a central marketplace. In medieval Europe, they were outside cathedrals. For half of the 20th century and almost 20 years into the new one, much of America has found their agora on the terrazzo between Orange Julius and Sbarro, Waldenbooks and the Gap, Sunglass Hut and Hot Topic.

That mall was an ecosystem unto itself, a combination of community and commercialism peddling everything you needed and everything you didn't: Magic Eye posters, wind catchers, Air Jordans. ...

A growing number of Americans, however, don't see the need to go to any Macy's at all. Our digital lives are frictionless and ruthlessly efficient, with retail and romance available at a click. Malls were designed for leisure, abundance, ambling. You parked and planned to spend some time. Today, much of that time has been given over to busier lives and second jobs and apps that let you swipe right instead of haunt the food court. Malls, says Harvard business professor Leonard Schlesinger, "were built for patterns of social interaction that increasingly don't exist."

Q.

In paragraph 1, the phrase "real estate developers once stumbled over themselves to court" suggests that they

Detailed Solution for CAT Mini Mock Test - 9 - Question 3

After going through the Passage, we can infer that now that people prefer online shopping over going to malls, real estate developers have stopped fighting over brand – name anchor outlets.
Option (B) is the right answer.

CAT Mini Mock Test - 9 - Question 4
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This year alone, more than 8,600 stores could close, according to industry estimates, many of them the brand- name anchor outlets that real estate developers once stumbled over themselves to court. Already there have been 5,300 retail closings this year...Sears Holdings—which owns Kmart—said in March that there's "substantial doubt" it can stay in business altogether, and will close 300 stores this year. So far this year, nine national retail chains have filed for bankruptcy.

Local jobs are a major casualty of what analysts are calling, with only a hint of hyperbole, the retail apocalypse. Since 2002, department stores have lost 448,000 jobs, a 25% decline, while the number of store closures this year is on pace to surpass the worst depths of the Great Recession. The growth of online retailers, meanwhile, has failed to offset those losses, with the e-commerce sector adding just 178,000 jobs over the past 15 years. Some of those jobs can be found in the massive distribution centers Amazon has opened across the country, often not too far from malls the company helped shutter.

But those are workplaces, not gathering places. The mall is both. And in the 61 years since the first enclosed one opened in suburban Minneapolis, the shopping mall has been where a huge swath of middle-class America went for far more than shopping. It was the home of first jobs and blind dates, the place for family photos and ear piercings, where goths and grandmothers could somehow walk through the same doors and find something they all liked. Sure, the food was lousy for you and the oceans of parking lots encouraged car- heavy development, something now scorned by contemporary planners. But for better or worse, the mall has been America's public square for the last 60 years.

So what happens when it disappears?

Think of your mall. Or think of the one you went to as a kid. Think of the perfume clouds in the department stores. The fountains splashing below the skylights. The cinnamon wafting from the food court. As far back as ancient Greece, societies have congregated around a central marketplace. In medieval Europe, they were outside cathedrals. For half of the 20th century and almost 20 years into the new one, much of America has found their agora on the terrazzo between Orange Julius and Sbarro, Waldenbooks and the Gap, Sunglass Hut and Hot Topic.

That mall was an ecosystem unto itself, a combination of community and commercialism peddling everything you needed and everything you didn't: Magic Eye posters, wind catchers, Air Jordans. ...

A growing number of Americans, however, don't see the need to go to any Macy's at all. Our digital lives are frictionless and ruthlessly efficient, with retail and romance available at a click. Malls were designed for leisure, abundance, ambling. You parked and planned to spend some time. Today, much of that time has been given over to busier lives and second jobs and apps that let you swipe right instead of haunt the food court. Malls, says Harvard business professor Leonard Schlesinger, "were built for patterns of social interaction that increasingly don't exist."

Q.

The author calls the mall an ecosystem unto itself because Options :
Detailed Solution for CAT Mini Mock Test - 9 - Question 4

From paragraph 3, we can see that along with being a commercial place, malls were also a gathering place. People from all sections of the society could come and enjoy themselves.
Option (C) is the right answer.

CAT Mini Mock Test - 9 - Question 5
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According to the passage, colonial powers located their capitals:
Detailed Solution for CAT Mini Mock Test - 9 - Question 5

"In the post-colonial fervour of the 20th century, coastal capitals picked by trade-focused empires were spurned for “regionally neutral” new ones".
From these lines, it can be inferred that the colonial empires had their capitals in the coasts as the empires were mostly focused on trade. It goes on to say that, post - colonisation, empires had their capitals changed to regionally neutral areas.
Hence, it can be directly inferred that colonies had capitals in coasts to promote their trading interests.
Option B is the correct answer.

CAT Mini Mock Test - 9 - Question 6
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According to the author, relocating government agencies has not always been a success for all of the following reasons EXCEPT:
Detailed Solution for CAT Mini Mock Test - 9 - Question 6

Option B is a problem of relocating government agencies and it can be inferred from this line " Pick small, poor towns, and areas of high unemployment get new jobs, but it is hard to attract the most qualified workers". Hence, option B is incorrect.
Option C is true with respect to the passage. It can be inferred from the line " Others contend that decentralisation begets corruption by making government agencies less accountable ." Hence it is incorrect.
Option D is also mentioned in the passage. Qualified workers do not want to live in smaller cities. Hence, it is also a reason for relocation not being a success.
Option A is not mentioned in the passage and hence it is the correct answer.

CAT Mini Mock Test - 9 - Question 7
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The “long pedigree” of the aim to shift civil servants to improve their living standards implies that this move:
Detailed Solution for CAT Mini Mock Test - 9 - Question 7

The word pedigree has a meaning, " history of an idea or an activity". The term long pedigree indicates that the idea has been touted with a lot of times in the past.
Option D is the only option that conveys this meaning and hence it is the correct answer.

CAT Mini Mock Test - 9 - Question 8
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People who support decentralising central government functions are LEAST likely to cite which of the following reasons for their view?
Detailed Solution for CAT Mini Mock Test - 9 - Question 8

The passage states that regulators perform best if they are far from the lobbying of a big city. Hence, the people who support decentralizing central government functions are likely to cite the above reason for their view. Option B and C are incorrect for this reason.
Option D is incorrect as the passage states that infrastructure costs and salaries would become lower in smaller cities.
The argument is used in the passage. Hence it is correct.
The nexus between bureaucrats and media is not mentioned in the passage. Hence the argument is least likely to be used by people who support the decentralising of central government functions.
Option A is the correct answer.

CAT Mini Mock Test - 9 - Question 9
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Direction: The sentences given in the question, when properly sequenced, form a coherent paragraph. Each sentence is labeled with a letter. Choose the most logical order of sentences from the given choices to construct a coherent paragraph.

A. The main driving force of the British Empire’s global expansion was the pursuit of commercial interests.

B. That entailed helping the weaker side in order to promote a regional balance of power and preventing the rise of a regional power, or at least reducing its impact on British security and interests.

C. Creating a balance of power and fostering regional stability could help to realize commercial goals; hence these became the core of the British Empire’s strategy.

D. Britain put these practices to use in its continental policy for hundreds of years.
Detailed Solution for CAT Mini Mock Test - 9 - Question 9

Both sentences A and C look to be good opening sentences for the paragraph. So we need to look for clues that link the sentences.

Let us consider sentence B. It starts off with “that entailed"? and discusses how the British tried to orchestrate a regional balance of power. This is obviously linked to sentence C. So B follows C.

We also note that sentence A declares commercial interests to be the driving force of the British Empire’s global expansion. Sentence C refers to the factors that help realize commercial goals. So C follows A.

D makes a good concluding sentence.

The question is " Arrange the sentences in the correct order "
The order is ACBD

Hence, the answer is ACBD
Choice C is the correct answer.

CAT Mini Mock Test - 9 - Question 10
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Which of the following four sentence is grammatically correct?
Detailed Solution for CAT Mini Mock Test - 9 - Question 10

The sentence is talking about three things. There is no need of commas within each part of the sentence. We can rule out options a) and b). The three parts of the sentence are independent clauses, so they are best separated by a semi-colon. Option d) is the correct answer.

CAT Mini Mock Test - 9 - Question 11
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Directions:
In each of the following questions, there are four sentences or parts of sentences that form a paragraph. Identify the sentence(s) or part(s) of sentence(s) that is/are correct in terms of grammar and usage (including spelling, punctuation, and logical consistency). Then, choose the most appropriate option.

A. Liquid Comics, an entertainment company found by three Indians
B. have announced the digital iPad release of "Untouchable",
C. A graphic novel with a supernatural horror twist
D. exploring various themes of racial prejudice during the British Raj. 
Detailed Solution for CAT Mini Mock Test - 9 - Question 11

Option A is erroneous in 'found by' instead of 'founded by'. Option B has the incorrect plural verb 'have' for the singular subject company.

CAT Mini Mock Test - 9 - Question 12
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Instructions
Each visitor to an amusement park needs to buy a ticket. Tickets can be Platinum, Gold, or Economy. Visitors are classified as Old, Middle-aged, or Young. The following facts are known about visitors and ticket sales on a particular day:
1. 140 tickets were sold.
2. The number of Middle-aged visitors was twice the number of Old visitors, while the number of Young visitors was twice the number of Middle-aged visitors.
3. Young visitors bought 38 of the 55 Economy tickets that were sold, and they bought half the total number of Platinum tickets that were sold.
4. The number of Gold tickets bought by Old visitors was equal to the number of Economy tickets bought by Old visitors.
Q. If the number of Old visitors buying Platinum tickets was equal to the number of Middle-aged visitors buying Platinum tickets, then which among the following could be the total number of Platinum tickets sold?
Detailed Solution for CAT Mini Mock Test - 9 - Question 12

Let 'x' be the the number of Old visitors. Then, the number of middle-aged visitors = 2x.
Also, the number of Young visitors = 2*2x = 4x
⇒ x+2x+4x = 140
⇒ x = 20
It is given that total of 55 Economy tickets were sold out.
It is given that Young visitors half the total number of Platinum tickets that were sold.
Let 'Y' be the number of Platinum tickets bought by the Young visitors.
Then,the number of Platinum tickets sold = 2Y.
Consequently, we can say that the number of Gold tickets sold = 140 - 55 - 2Y = 85 - 2Y.

Let us assume that 'Z' is the number of Economy tickets bought by the Old visitors. It is given that the number of Gold tickets bought by Old visitors was equal to the number of Economy tickets bought by Old visitors.

It is given that the number of Old visitors buying Platinum tickets was equal to the number of Middle-aged visitors buying Platinum tickets.
20 - 2Z = (Y+2Z) - 20
Y + 4Z = 40
2Y + 8Z = 80
2Y = 80 - 8Z
We can see that Z can take only integer values. Therefore, we can say that the the total number of Platinum tickets sold will be a multiple of 8. Hence, option D is the correct answer.

CAT Mini Mock Test - 9 - Question 13
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Instructions
Each visitor to an amusement park needs to buy a ticket. Tickets can be Platinum, Gold, or Economy. Visitors are classified as Old, Middle-aged, or Young. The following facts are known about visitors and ticket sales on a particular day:
1. 140 tickets were sold.
2. The number of Middle-aged visitors was twice the number of Old visitors, while the number of Young visitors was twice the number of Middle-aged visitors.
3. Young visitors bought 38 of the 55 Economy tickets that were sold, and they bought half the total number of Platinum tickets that were sold.
4. The number of Gold tickets bought by Old visitors was equal to the number of Economy tickets bought by Old visitors.
Q. If the number of Old visitors buying Platinum tickets was equal to the number of Middle-aged visitors buying Economy tickets, then the number of Old visitors buying Gold tickets was

Detailed Solution for CAT Mini Mock Test - 9 - Question 13

Let 'x' be the the number of Old visitors. Then, the number of middle-aged visitors = 2x.
Also, the number of Young visitors = 2*2x = 4x
⇒ x+2x+4x = 140
⇒ x = 20
It is given that total of 55 Economy tickets were sold out.
It is given that Young visitors half the total number of Platinum tickets that were sold.
Let 'Y' be the number of Platinum tickets bought by the Young visitors.
Then,the number of Platinum tickets sold = 2Y.
Consequently, we can say that the number of Gold tickets sold = 140 - 55 - 2Y = 85 - 2Y.

Let us assume that 'Z' is the number of Economy tickets bought by the Old visitors. It is given that the number of Gold tickets bought by Old visitors was equal to the number of Economy tickets bought by Old visitors.

It is given that the number of Old visitors buying Platinum tickets was equal to the number of Middle-aged visitors buying Economy tickets. 20 - 2Z = 17 - Z
⇒ Z = 3
Therefore, we can say that the number of Old visitors buying Gold tickets = 3

CAT Mini Mock Test - 9 - Question 14
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Instructions
Each visitor to an amusement park needs to buy a ticket. Tickets can be Platinum, Gold, or Economy. Visitors are classified as Old, Middle-aged, or Young. The following facts are known about visitors and ticket sales on a particular day:
1. 140 tickets were sold.
2. The number of Middle-aged visitors was twice the number of Old visitors, while the number of Young visitors was twice the number of Middle-aged visitors.
3. Young visitors bought 38 of the 55 Economy tickets that were sold, and they bought half the total number of Platinum tickets that were sold.
4. The number of Gold tickets bought by Old visitors was equal to the number of Economy tickets bought by Old visitors.
Q. If the number of Old visitors buying Gold tickets was strictly greater than the number of Young visitors buying Gold tickets, then the number of Middle-aged visitors buying Gold tickets was

Detailed Solution for CAT Mini Mock Test - 9 - Question 14

Let 'x' be the the number of Old visitors. Then, the number of middle-aged visitors = 2x.
Also, the number of Young visitors = 2*2x = 4x
⇒ x+2x+4x = 140
⇒ x = 20
It is given that total of 55 Economy tickets were sold out.
It is given that Young visitors half the total number of Platinum tickets that were sold.
Let 'Y' be the number of Platinum tickets bought by the Young visitors.
Then,the number of Platinum tickets sold = 2Y.
Consequently, we can say that the number of Gold tickets sold = 140 - 55 - 2Y = 85 - 2Y.

Let us assume that 'Z' is the number of Economy tickets bought by the Old visitors. It is given that the number of Gold tickets bought by Old visitors was equal to the number of Economy tickets bought by Old visitors.

It is given that the number of Old visitors buying Gold tickets was strictly greater than the number of Young visitors buying Gold tickets.
Z > 42 - Y
⇒ Z + Y > 42 ... (1)
The number of Middle-aged visitors buying Gold tickets = 43 - (Y+Z) Since (Y+Z) > 42, then We can say that (Y+Z)min = 43.
Hence, the number of Middle-aged visitors buying Gold tickets = 43 - 43 = 0

CAT Mini Mock Test - 9 - Question 15
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Instructions
Each visitor to an amusement park needs to buy a ticket. Tickets can be Platinum, Gold, or Economy. Visitors are classified as Old, Middle-aged, or Young. The following facts are known about visitors and ticket sales on a particular day:
1. 140 tickets were sold.
2. The number of Middle-aged visitors was twice the number of Old visitors, while the number of Young visitors was twice the number of Middle-aged visitors.
3. Young visitors bought 38 of the 55 Economy tickets that were sold, and they bought half the total number of Platinum tickets that were sold.
4. The number of Gold tickets bought by Old visitors was equal to the number of Economy tickets bought by Old visitors.
Q. Which of the following statements MUST be FALSE?
Detailed Solution for CAT Mini Mock Test - 9 - Question 15

Let 'x' be the the number of Old visitors. Then, the number of middle-aged visitors = 2x.
Also, the number of Young visitors = 2*2x = 4x
⇒ x+2x+4x = 140
⇒ x = 20
It is given that total of 55 Economy tickets were sold out.
It is given that Young visitors half the total number of Platinum tickets that were sold.
Let 'Y' be the number of Platinum tickets bought by the Young visitors.
Then,the number of Platinum tickets sold = 2Y.
Consequently, we can say that the number of Gold tickets sold = 140 - 55 - 2Y = 85 - 2Y.

Let us assume that 'Z' is the number of Economy tickets bought by the Old visitors. It is given that the number of Gold tickets bought by Old visitors was equal to the number of Economy tickets bought by Old visitors.

Let us check with the help of options.
Option (A): The numbers of Gold and Platinum tickets bought by Young visitors were equal.
Y = 42 - Y
⇒ Y = 21. Hence, this statement can be true.
Option (B): The numbers of Middle-aged and Young visitors buying Gold tickets were equal
43 - (Y+Z) = 42 - Y
⇒ Z = 1. Hence, this statement can be true.
Option (C): The numbers of Old and Middle-aged visitors buying Platinum tickets were equal 20 - 2Z = (Y+2Z) - 20
⇒ Y+4Z = 40. Hence, this statement can be true.
Option (D): The numbers of Old and Middle-aged visitors buying Economy tickets were equal Z = 17 - Z
⇒ Z = 8.5. This is not possible as Z has to be an integer. Hence, we can say that this statement is false. 

CAT Mini Mock Test - 9 - Question 16
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Out of the two bar graphs provided below, one shows the amounts (in Lakh Rs.) invested by a Company in purchasing raw materials over the years and the other shows the values (in Lakh Rs.) of finished goods sold by the Company over the years.

Q.

The maximum difference between the amount invested in Raw materials and value of sales of finished goods was during the year?
Detailed Solution for CAT Mini Mock Test - 9 - Question 16

The differences between the amount invested in raw material and the value of sales of finished goods for various years are:

For 1995 = Rs. (200 - 120) lakhs = Rs. 80 lakhs.

For 1996 = Rs. (300 - 225) lakhs = Rs. 75 lakhs.

For 1997 = Rs. (500 - 375) lakhs = Rs. 125 lakhs.

For 1998 = Rs. (400 - 330) lakhs = Rs. 70 lakhs.

For 1999 = Rs. (600 - 525) lakhs = Rs. 75 lakhs.

For 2000 = Rs. (460 - 420) lakhs = Rs. 40 lakhs.

Clearly, maximum difference was during 1997.

CAT Mini Mock Test - 9 - Question 17
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Out of the two bar graphs provided below, one shows the amounts (in Lakh Rs.) invested by a Company in purchasing raw materials over the years and the other shows the values (in Lakh Rs.) of finished goods sold by the Company over the years.

The value of sales of finished goods in 1999 was approximately what percent of the sum of amount invested in Raw materials in the years 1997, 1998 and 1999?
Detailed Solution for CAT Mini Mock Test - 9 - Question 17

CAT Mini Mock Test - 9 - Question 18
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Out of the two bar graphs provided below, one shows the amounts (in Lakh Rs.) invested by a Company in purchasing raw materials over the years and the other shows the values (in Lakh Rs.) of finished goods sold by the Company over the years.

What was the difference between the average amount invested in Raw materials during the given period and the average value of sales of finished goods during this period?
Detailed Solution for CAT Mini Mock Test - 9 - Question 18

CAT Mini Mock Test - 9 - Question 19
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Out of the two bar graphs provided below, one shows the amounts (in Lakh Rs.) invested by a Company in purchasing raw materials over the years and the other shows the values (in Lakh Rs.) of finished goods sold by the Company over the years.

In which year, the percentage change (compared to the previous year) in the investment on Raw materials is same as that in the value of sales of finished goods?
Detailed Solution for CAT Mini Mock Test - 9 - Question 19

The percentage change in the amount invested in raw-materials and in the value of sales of finished goods for different years are:

CAT Mini Mock Test - 9 - Question 20
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Out of the two bar graphs provided below, one shows the amounts (in Lakh Rs.) invested by a Company in purchasing raw materials over the years and the other shows the values (in Lakh Rs.) of finished goods sold by the Company over the years.

In which year, there has been a maximum percentage increase in the amount invested in Raw materials as compared to the previous year?
Detailed Solution for CAT Mini Mock Test - 9 - Question 20

The percentage increase in the amount invested in raw-materials as compared to the previous year, for different years are:

CAT Mini Mock Test - 9 - Question 21
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After the division of a number successively by 3, 4 and 7, the remainders obtained are 2, 1 and 4 respectively. What will be the remainder if 84 divides the same number?
Detailed Solution for CAT Mini Mock Test - 9 - Question 21

We are told:

  • First divide the number by 3 → remainder 2.

  • Then divide that quotient by 4 → remainder 1.

  • Then divide that quotient by 7 → remainder 4.

We need the remainder when the original number is divided by 84.

Step 1: Start from the last division

Quotient after dividing by 3 and 4 is divided by 7 → remainder = 4.
So this quotient = 7k + 4.

Step 2: One step back

That quotient came from division by 4.
So, quotient after dividing by 3 = 4(7k + 4) + 1 = 28k + 17.

Step 3: Go to the original number

Original number = 3 × (28k + 17) + 2 = 84k + 53.

Step 4: Divide by 84

So the number always looks like 84k + 53.
That means remainder on dividing by 84 is 53.

 

CAT Mini Mock Test - 9 - Question 22
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Mini and Vinay are quiz masters preparing for a quiz. In x  minutes, Mini makes y questions more than Vinay. If it were possible to reduce the time needed by each to make a question by two minutes, then in x minutes Mini would make 2y questions more than Vinay. How many questions does Mini make in x minutes?
Detailed Solution for CAT Mini Mock Test - 9 - Question 22



 

CAT Mini Mock Test - 9 - Question 23
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The monthly incomes of X and Y are in the ratio of 4:3 and their monthly expenses are in the ratio of 3:2. However, each saves Rs. 6,000 per month. What is their total monthly income?
Detailed Solution for CAT Mini Mock Test - 9 - Question 23

Given :

The ratio of the income of X and Y is 4 : 3.

The ratio of monthly expenses of X and Y is 3 : 2. 

X and Y save 6000 rupees each month.

Concept used :

Savings = Income - expense

Calculations :

Let the ratio of monthly income of X and Y be 4a and 3a respectively. 

Let the ratio of monthly expenses of X and Y be 3b and 2b respectively. 

Savings of X = 4a - 3b

4a - 3b = 6000      ....(1) 

Savings of Y = 3a - 2b 

3a - 2b = 6000      ....(2) 

Solving equation 1 and 2 

We get a = 6000 and b = 6000

Total monthly income of X and Y = 4a + 3a = 7a 

⇒ 7 × 6000 

⇒ 42000 rupees 

∴ Option 2 is the correct answer.

CAT Mini Mock Test - 9 - Question 24
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If a certain weight of an alloy of silver and copper is mixed with 3 kg of pure silver, the resulting alloy will have 90% silver by weight. If the same weight of the initial alloy is mixed with 2 kg of another alloy which has 90% silver by weight, the resulting alloy will have 84% silver by weight. Then, the weight of the initial alloy, in kg, is
Detailed Solution for CAT Mini Mock Test - 9 - Question 24

 

CAT Mini Mock Test - 9 - Question 25
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Sum of CP’s of two cows is Rs 13,000. Both the cows are sold at a profit of 20% and 40% respectively with their SP’s being the same. What is the difference of CPs of both the cows?
Detailed Solution for CAT Mini Mock Test - 9 - Question 25

CAT Mini Mock Test - 9 - Question 26
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Read the passage below and solve the questions based on it* A number o f runners, numbered 1, 2. 3 , , N and so on, start simultaneously at the same point on a circular track and keep on running continuously in the same direction, around the track. They run in such a way that the speed of the runner numbered N (N>1) isN times that of the runner numbered 1 .

Q.

If there are exactly six runners, then at how many distinct points on the track is the runner numbered 1 overtaken by any of the other five runners?
Detailed Solution for CAT Mini Mock Test - 9 - Question 26
  • Assume that the track length is 1000 m.
  • Now, runner 1 and runner 2 will meet at one point, i.e., the starting point.
  • Runner 1 and runner 3 will meet at two points, at 500 m and at the starting point.
  • Runner 1 and runner 4 will meet at three points, at 333.33 m, at 666.66 m and at the starting point. Runner 1 and runner 5 will meet at four points, at 250 m, 500 m, 750 m and at starting point.
  • Runner 1 and runner 6 will meet at five points, at 200 m, at 400 m, at 600 m, at 800 m, and at the starting point.
  • These are 10 distinct points.
CAT Mini Mock Test - 9 - Question 27
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A fair coin is tossed 10 times. Find the probability that two Heads do not occur consecutively. 
Detailed Solution for CAT Mini Mock Test - 9 - Question 27

We can have a maximum of 5 heads. 
For 0 head, P(E)=(1/210)X1 
For 1heads, P(E)=(1/210)X1
 For 2 heads and for them not to occur consecutively we will need to see the possible distribution of 8 tails and 2 heads.
Since the 2 heads do not need to occur consecutively, this would be given by (All – 2heads together)
 = (10C8 – 9)
P(E)=(10C8-9) / 210 = 1/23

CAT Mini Mock Test - 9 - Question 28
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What is the number of whole numbers formed on the screen of a calculator which can be recognised as numbers with (unique) correct digits when they are read inverted? The greatest number that can be formed on the screen of the calculator is 999999.
Detailed Solution for CAT Mini Mock Test - 9 - Question 28

The digits which can be recognised as unique digits when they are Inverted in a calculator are 0, 1, 2, 5, 6, and 9 Since the number cannot begin with zero all the numbers having 0 at units place should be discarded for otherwise when reed upside down the number yen begin with 3 we now :1St the different posibililities

Thus, the number of required numbers = 7 + 62 + 62 x 7 + .. + 62 x 74 

CAT Mini Mock Test - 9 - Question 29
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How many terms are there in the GP 5, 20, 80, 320,… 20480?
Detailed Solution for CAT Mini Mock Test - 9 - Question 29

Step 1: Identify the Components of the GP

  • First Term (a): 5
  • Common Ratio (r): The ratio between consecutive terms.
  • Last Term (l): 20480

Calculate the Common Ratio (r):

r = 20 ÷ 5 = 4

Verification:

  • 80 ÷ 20 = 4
  • 320 ÷ 80 = 4

Thus, the common ratio r = 4.

Step 2: Use the Formula for the n-th Term of a GP

The n-th term (an) of a geometric progression is given by:

an = a × r(n-1)

Where:

  • a = First term
  • r = Common ratio
  • n = Number of terms

Step 3: Set Up the Equation to Find n

Given the last term l = 20480, set an = l:

20480 = 5 × 4(n-1)

Step 4: Solve for n

  1. Divide both sides by 5:

    4(n-1) = 20480 ÷ 5 = 4096

  2. Express 4096 as a Power of 4:

    4096 = 46 (since 46 = 4096)

  3. Set the Exponents Equal:

    4(n-1) = 46 ⇒ n - 1 = 6

  4. Solve for n:

    n = 6 + 1 = 7

CAT Mini Mock Test - 9 - Question 30
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A man rows to a place 48 km distant and come back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is:
 
Detailed Solution for CAT Mini Mock Test - 9 - Question 30

Suppose he move 4 km downstream in x hours. Then,

Speed downstream = 

 

Speed upstream = 

So, Speed downstream = 8 km/hr, Speed upstream = 6 km/hr.

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