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CAT 2022 Slot 3: Past Year Question Paper - CAT MCQ


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66 Questions MCQ Test CAT Mock Test Series 2024 - CAT 2022 Slot 3: Past Year Question Paper

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CAT 2022 Slot 3: Past Year Question Paper - Question 1

A fundamental conclusion by the author is that:

CAT 2022 Slot 3: Past Year Question Paper - Question 2

Which one of the following sets of words/phrases best encapsulates the issues discussed in the passage?

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CAT 2022 Slot 3: Past Year Question Paper - Question 3

Which one of the following is not a valid inference from the passage?

CAT 2022 Slot 3: Past Year Question Paper - Question 4

The author notes that, “At the start of the twentieth century, Americans were predominately a rural population, but by the century’s mid-point most lived in urban areas.” Which one of the following statements, if true, does not contradict this statement?

CAT 2022 Slot 3: Past Year Question Paper - Question 5

It can be inferred from the passage that to gain a more accurate view of a nation’s history and culture, scholars should do all of the following EXCEPT:

CAT 2022 Slot 3: Past Year Question Paper - Question 6

In the context of the passage, all of the following statements are true EXCEPT:

CAT 2022 Slot 3: Past Year Question Paper - Question 7

It can be inferred from the passage that the author is not likely to support the view that:

CAT 2022 Slot 3: Past Year Question Paper - Question 8

Which one of the following styles of research is most similar to the Orientalist scholars’ method of understanding Indian history and culture?

CAT 2022 Slot 3: Past Year Question Paper - Question 9

In the Ebola misdiagnosis case, we can infer that doctors probably missed the forest for the trees because:

CAT 2022 Slot 3: Past Year Question Paper - Question 10

It can be inferred that in the Utrecht University experiment, one group of people was “aimlessly clicking around” because:

CAT 2022 Slot 3: Past Year Question Paper - Question 11

From the passage, we can infer that the author is apprehensive about the use of sophisticated automation for all of the following reasons EXCEPT that:

CAT 2022 Slot 3: Past Year Question Paper - Question 12

In the context of the passage, all of the following can be considered examples of humancentered automation EXCEPT:

CAT 2022 Slot 3: Past Year Question Paper - Question 13

Which one of the following sets of words/phrases best serves as keywords to the passage?

CAT 2022 Slot 3: Past Year Question Paper - Question 14

None of the following statements is implied by the arguments of the passage, EXCEPT:

CAT 2022 Slot 3: Past Year Question Paper - Question 15

The author claims that, “The apparent veil between the organic and the manufactured has crumpled to reveal that the two really are, and have always been, of one being.” Which one of the following statements best expresses the point being made by the author here?

CAT 2022 Slot 3: Past Year Question Paper - Question 16

The author claims that, “Part of this bionic convergence is a matter of words”. Which one of the following statements best expresses the point being made by the author?

CAT 2022 Slot 3: Past Year Question Paper - Question 17

The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.
“It does seem to me that the job of comedy is to offend, or have the potential to offend, and it cannot be drained of that potential,” Rowan Atkinson said of cancel culture. “Every joke has a victim. That’s the definition of a joke. Someone or something or an idea is made to look ridiculous.” The Netflix star continued, “I think you’ve got to be very, very careful about saying what you’re allowed to make jokes about. You’ve always got to kick up? Really?” He added, “There are lots of extremely smug and self-satisfied people in what would be deemed lower down in society, who also deserve to be pulled up. In a proper free society, you should be allowed to make jokes about absolutely anything.”

CAT 2022 Slot 3: Past Year Question Paper - Question 18

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

  1. If I wanted to sit indoors and read, or play Sonic the Hedgehog on a red-hot Sega Mega Drive, I would often be made to feel guilty about not going outside to “enjoy it while it lasts”.
  2. My mum, quite reasonably, wanted me and my sister out of the house, in the sun.
  3. Tales of my mum’s idyllic-sounding childhood in the Sussex countryside, where trees were climbed by 8 am and streams navigated by lunchtime, were passed down to us like folklore.
  4. To an introverted kid, that felt like a threat – and the feeling has stayed with me.
CAT 2022 Slot 3: Past Year Question Paper - Question 19

The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.
Tamsin Blanchard, curator of Fashion Open Studio, an initiative by a campaign group showcasing the work of ethical designers says, “We’re all drawn to an exquisite piece of embroidery, a colourful textile or even a style of dressing that might have originated from another heritage. [But] this magpie mentality, where all of culture and history is up for grabs as ‘inspiration’, has accelerated since the proliferation of social media... Where once a fashion student might research the history and traditions of a particular item of clothing with care and respect, we now have a world where images are lifted from image libraries without a care for their cultural significance. It’s easier than ever to steal a motif or a craft technique and transfer it on to a piece of clothing that is either mass produced or appears on a runway without credit or compensation to their original communities.”

CAT 2022 Slot 3: Past Year Question Paper - Question 20

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

  1.  Various industrial sectors including retail, transit systems, enterprises, educational institutions, event organizing, finance, travel etc. have now started leveraging these beacons solutions to track and communicate with their customers.
  2. A beacon fixed on to a shop wall enables the retailer to assess the proximity of the customer, and come up with a much targeted or personalized communication like offers, discounts and combos on products in each shelf.
  3. Smart phones or other mobile devices can capture the beacon signals, and distance can be estimated by measuring received signal strength.
  4. Beacons are tiny and inexpensive, micro-location-based technology devices that can send radio frequency signals and notify nearby Bluetooth devices of their presence and transmit information.
CAT 2022 Slot 3: Past Year Question Paper - Question 21

The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.
To defend the sequence of alphabetisation may seem bizarre, so obvious is its application that it is hard to imagine a reference, catalogue or listing without it. But alphabetical order was not an immediate consequence of the alphabet itself. In the Middle Ages, deference for ecclesiastical tradition left scholars reluctant to categorise things according to the alphabet — to do so would be a rejection of the divine order. The rediscovery of the ancient Greek and Roman classics necessitated more efficient ways of ordering, searching and referencing texts. Government bureaucracy in the 16th and 17th centuries quickened the advance of alphabetical order, bringing with it pigeonholes, notebooks and card indexes.

CAT 2022 Slot 3: Past Year Question Paper - Question 22

There is a sentence that is missing in the paragraph below. Look at the paragraph and decide in which blank (option 1, 2, 3, or 4) the following sentence would best fit.
Sentence: This has meant alot of uncertainty around what a wide-scale return to office might look like in practice.
Paragraph: Bringing workers back to their desks has been a rocky road for employers and employees alike. The evolution of the pandemic has meant that best laid plans have often not materialised. ____(1)____ The flow of workers back into offices has been more of a trickle than a steady stream. ____(2)____ Yet while plenty of companies are still working through their new policies, some employees across the globe are now back at their desks, whether on a full-time or hybrid basis. ____(3)____ That means we’re beginning to get some clarity on what return-to-office means – what’s working, as well as what has yet to be settled. ____(4)____

CAT 2022 Slot 3: Past Year Question Paper - Question 23

There is a sentence that is missing in the paragraph below. Look at the paragraph and decide in which blank (option 1, 2, 3, or 4) the following sentence would best fit.
Sentence: When people socially learn from each other, they often learn without understanding why what they’re copying—the beliefs and behaviours and technologies and know-how—works.
Paragraph: ____(1)____. The dual-inheritance theory ....says....that inheritance is itself an evolutionary system. It has variation. What makes us a new kind of animal, and so different and successful as a species, is we rely heavily on social learning, to the point where socially acquired information is effectively a second line of inheritance, the first being our genes.... ____(2)____. People tend to home in on who seems to be the smartest or most successful person around, as well as what everybody seems to be doing—the majority of people have something worth learning. ____(3)____. When you repeat this process over time, you can get, around the world, cultural packages—beliefs or behaviours or technology or other solutions—that are adapted to the local conditions. People have different psychologies, effectively. ____(4)____.

CAT 2022 Slot 3: Past Year Question Paper - Question 24

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

  1. The more we are able to accept that our achievements are largely out of our control, the easier it becomes to understand that our failures, and those of others, are too.
  2. But the raft of recent books about the limits of merit is an important correction to the arrogance of contemporary entitlement and an opportunity to reassert the importance of luck, or grace, in our thinking.
  3. Meritocracy as an organising principle is an inevitable function of a free society, as we are designed to see our achievements as worthy of reward.
  4. And that in turn should increase our humility and the respect with which we treat our fellow citizens, helping ultimately to build a more compassionate society.
CAT 2022 Slot 3: Past Year Question Paper - Question 25

All the first-year students in the computer science (CS) department in a university take both the courses (i) AI and (ii) ML. Students from other departments (non-CS students) can also take one of these two courses, but not both. Students who fail in a course get an F grade; others pass and are awarded A or B or C grades depending on their performance. The following are some additional facts about the number of students who took these two courses this year and the grades they obtained.

  1. The numbers of non-CS students who took AI and ML were in the ratio 2 : 5.
  2. The number of non-CS students who took either AI or ML was equal to the number of CS students.
  3. The numbers of non-CS students who failed in the two courses were the same and their total is equal to the number of CS students who got a C grade in ML.
  4. In both the courses, 50% of the students who passed got a B grade. But, while the numbers of students who got A and C grades were the same for AI, they were in the ratio 3 : 2 for ML.
  5. No CS student failed in AI, while no non-CS student got an A grade in AI.
  6. The numbers of CS students who got A, B and C grades respectively in AI were in the ratio 3 : 5 : 2, while in ML the ratio was 4 : 5 : 2.
  7. The ratio of the total number of non-CS students failing in one of the two courses to the number of CS students failing in one of the two courses was 3 : 1.
  8. 30 students failed in ML.

Q. How many students took AI?

*Answer can only contain numeric values
CAT 2022 Slot 3: Past Year Question Paper - Question 26

All the first-year students in the computer science (CS) department in a university take both the courses (i) AI and (ii) ML. Students from other departments (non-CS students) can also take one of these two courses, but not both. Students who fail in a course get an F grade; others pass and are awarded A or B or C grades depending on their performance. The following are some additional facts about the number of students who took these two courses this year and the grades they obtained.

  1. The numbers of non-CS students who took AI and ML were in the ratio 2 : 5.
  2. The number of non-CS students who took either AI or ML was equal to the number of CS students.
  3. The numbers of non-CS students who failed in the two courses were the same and their total is equal to the number of CS students who got a C grade in ML.
  4. In both the courses, 50% of the students who passed got a B grade. But, while the numbers of students who got A and C grades were the same for AI, they were in the ratio 3 : 2 for ML.
  5. No CS student failed in AI, while no non-CS student got an A grade in AI.
  6. The numbers of CS students who got A, B and C grades respectively in AI were in the ratio 3 : 5 : 2, while in ML the ratio was 4 : 5 : 2.
  7. The ratio of the total number of non-CS students failing in one of the two courses to the number of CS students failing in one of the two courses was 3 : 1.
  8. 30 students failed in ML.

Q. How many CS students failed in ML?


*Answer can only contain numeric values
CAT 2022 Slot 3: Past Year Question Paper - Question 27

All the first-year students in the computer science (CS) department in a university take both the courses (i) AI and (ii) ML. Students from other departments (non-CS students) can also take one of these two courses, but not both. Students who fail in a course get an F grade; others pass and are awarded A or B or C grades depending on their performance. The following are some additional facts about the number of students who took these two courses this year and the grades they obtained.

  1. The numbers of non-CS students who took AI and ML were in the ratio 2 : 5.
  2. The number of non-CS students who took either AI or ML was equal to the number of CS students.
  3. The numbers of non-CS students who failed in the two courses were the same and their total is equal to the number of CS students who got a C grade in ML.
  4. In both the courses, 50% of the students who passed got a B grade. But, while the numbers of students who got A and C grades were the same for AI, they were in the ratio 3 : 2 for ML.
  5. No CS student failed in AI, while no non-CS student got an A grade in AI.
  6. The numbers of CS students who got A, B and C grades respectively in AI were in the ratio 3 : 5 : 2, while in ML the ratio was 4 : 5 : 2.
  7. The ratio of the total number of non-CS students failing in one of the two courses to the number of CS students failing in one of the two courses was 3 : 1.
  8. 30 students failed in ML.

Q. How many non-CS students got A grade in ML?


CAT 2022 Slot 3: Past Year Question Paper - Question 28

All the first-year students in the computer science (CS) department in a university take both the courses (i) AI and (ii) ML. Students from other departments (non-CS students) can also take one of these two courses, but not both. Students who fail in a course get an F grade; others pass and are awarded A or B or C grades depending on their performance. The following are some additional facts about the number of students who took these two courses this year and the grades they obtained.

  1. The numbers of non-CS students who took AI and ML were in the ratio 2 : 5.
  2. The number of non-CS students who took either AI or ML was equal to the number of CS students.
  3. The numbers of non-CS students who failed in the two courses were the same and their total is equal to the number of CS students who got a C grade in ML.
  4. In both the courses, 50% of the students who passed got a B grade. But, while the numbers of students who got A and C grades were the same for AI, they were in the ratio 3 : 2 for ML.
  5. No CS student failed in AI, while no non-CS student got an A grade in AI.
  6. The numbers of CS students who got A, B and C grades respectively in AI were in the ratio 3 : 5 : 2, while in ML the ratio was 4 : 5 : 2.
  7. The ratio of the total number of non-CS students failing in one of the two courses to the number of CS students failing in one of the two courses was 3 : 1.
  8. 30 students failed in ML.

Q. How many students got A grade in AI?

CAT 2022 Slot 3: Past Year Question Paper - Question 29

All the first-year students in the computer science (CS) department in a university take both the courses (i) AI and (ii) ML. Students from other departments (non-CS students) can also take one of these two courses, but not both. Students who fail in a course get an F grade; others pass and are awarded A or B or C grades depending on their performance. The following are some additional facts about the number of students who took these two courses this year and the grades they obtained.

  1. The numbers of non-CS students who took AI and ML were in the ratio 2 : 5.
  2. The number of non-CS students who took either AI or ML was equal to the number of CS students.
  3. The numbers of non-CS students who failed in the two courses were the same and their total is equal to the number of CS students who got a C grade in ML.
  4. In both the courses, 50% of the students who passed got a B grade. But, while the numbers of students who got A and C grades were the same for AI, they were in the ratio 3 : 2 for ML.
  5. No CS student failed in AI, while no non-CS student got an A grade in AI.
  6. The numbers of CS students who got A, B and C grades respectively in AI were in the ratio 3 : 5 : 2, while in ML the ratio was 4 : 5 : 2.
  7. The ratio of the total number of non-CS students failing in one of the two courses to the number of CS students failing in one of the two courses was 3 : 1.
  8. 30 students failed in ML.

Q. How many non-CS students got B grade in ML?

CAT 2022 Slot 3: Past Year Question Paper - Question 30

In 2000, what was the ratio of the number of dead males to dead females among those being tracked?

CAT 2022 Slot 3: Past Year Question Paper - Question 31

How many people who were being tracked and who were between 30 and 40 years of age in 1980 survived until 2010?

CAT 2022 Slot 3: Past Year Question Paper - Question 32

How many individuals who were being tracked and who were less than 30 years of age in 1980 survived until 2020?

*Answer can only contain numeric values
CAT 2022 Slot 3: Past Year Question Paper - Question 33

How many of the males who were being tracked and who were between 20 and 30 years of age in 1980 died in the period 2000 to 2010?


*Answer can only contain numeric values
CAT 2022 Slot 3: Past Year Question Paper - Question 34

How many of the females who were being tracked and who were between 20 and 30 years of age in 1980 died between the ages of 50 and 60?


Detailed Solution for CAT 2022 Slot 3: Past Year Question Paper - Question 34

The total number of male and female test cases in 1980 = 1000.


We are given that there are 250 females from age 20-30 in 1980 and in 2000 these females age are from 40-50 but only 175 are alive in 2000.
In 2000 there were 175 females from age 40-50. If we assume that out of these, 30 females were of age 48 years in 2000 and they died in 2005, then there are 30 females who died at the age of 53.

If we assume that out of the 175 females, 30 females were of age 42 years in 2000, and they died in 2005, then 30 females died at the age of 47. Now, if we assume that there are 15 females of age 42 and 15 females of age 48 in the year 2000, and they all died in 2005, then we have 15 females who died at the age of 47 and 15 females who died at the age of 53.

So we can see that there are many cases possible. We are given that there were 250 females aged 20-30 in 1980, and in 2010, these females ages are from 50-60, but only 145 are alive in 2010.

In 2010 there were 145 females from age 50-60. If we assume that out of these, 40 females were of age 58 years in 2010 and they died in 2015, then there are 40 females who died at the age of 63.

If we assume that out of the 145 females, 40 females are of age 52 years age in 2010, and they died in 2015, then 40 females died at the age of 57. Now, if we assume that there are 15 females of age 52 and 25 females of age 58 in the year 2010, and they all died in 2015, then we have 15 females who died at the age of 57 and 25 females who died at the age of 63.
So we can see that again, there are many cases possible. In the first case, the range of values possible is from 0 to 30. In the
second case, the range of values possible is from 0 to 40. So in total, we get a range of possible values from 0 to 70.

CAT 2022 Slot 3: Past Year Question Paper - Question 35

There are only four neighbourhoods in a city - Levmisto, Tyhrmisto, Pesmisto and Kitmisto. During the onset of a pandemic, the number of new cases of a disease in each of these neighbourhoods was recorded over a period of five days. On each day, the number of new cases recorded in any of the neighbourhoods was either 0, 1, 2 or 3.
The following facts are also known:

  1. There was at least one new case in every neighbourhood on Day 1.
  2. On each of the five days, there were more new cases in Kitmisto than in Pesmisto.
  3. The number of new cases in the city in a day kept increasing during the five -day period. The number of new cases on Day 3 was exactly one more than that on Day 2.
  4. The maximum number of new cases in a day in Pesmisto was 2, and this happened only once during the five-day period.
  5. Kitmisto is the only place to have 3 new cases on Day 2.
  6. The total numbers of new cases in Levmisto, Tyhrmisto, Pesmisto and Kitmisto over the five-day period were 12, 12, 5 and 14 respectively.

Q. What BEST can be concluded about the total number of new cases in the city on Day 2?

CAT 2022 Slot 3: Past Year Question Paper - Question 36

There are only four neighbourhoods in a city - Levmisto, Tyhrmisto, Pesmisto and Kitmisto. During the onset of a pandemic, the number of new cases of a disease in each of these neighbourhoods was recorded over a period of five days. On each day, the number of new cases recorded in any of the neighbourhoods was either 0, 1, 2 or 3.
The following facts are also known:

  1. There was at least one new case in every neighbourhood on Day 1.
  2. On each of the five days, there were more new cases in Kitmisto than in Pesmisto.
  3. The number of new cases in the city in a day kept increasing during the five -day period. The number of new cases on Day 3 was exactly one more than that on Day 2.
  4. The maximum number of new cases in a day in Pesmisto was 2, and this happened only once during the five-day period.
  5. Kitmisto is the only place to have 3 new cases on Day 2.
  6. The total numbers of new cases in Levmisto, Tyhrmisto, Pesmisto and Kitmisto over the five-day period were 12, 12, 5 and 14 respectively.

Q. What BEST can be concluded about the number of new cases in Levmisto on Day 3?

CAT 2022 Slot 3: Past Year Question Paper - Question 37

There are only four neighbourhoods in a city - Levmisto, Tyhrmisto, Pesmisto and Kitmisto. During the onset of a pandemic, the number of new cases of a disease in each of these neighbourhoods was recorded over a period of five days. On each day, the number of new cases recorded in any of the neighbourhoods was either 0, 1, 2 or 3.
The following facts are also known:

  1. There was at least one new case in every neighbourhood on Day 1.
  2. On each of the five days, there were more new cases in Kitmisto than in Pesmisto.
  3. The number of new cases in the city in a day kept increasing during the five -day period. The number of new cases on Day 3 was exactly one more than that on Day 2.
  4. The maximum number of new cases in a day in Pesmisto was 2, and this happened only once during the five-day period.
  5. Kitmisto is the only place to have 3 new cases on Day 2.
  6. The total numbers of new cases in Levmisto, Tyhrmisto, Pesmisto and Kitmisto over the five-day period were 12, 12, 5 and 14 respectively.

Q. On which day(s) did Pesmisto not have any new case?

CAT 2022 Slot 3: Past Year Question Paper - Question 38

There are only four neighbourhoods in a city - Levmisto, Tyhrmisto, Pesmisto and Kitmisto. During the onset of a pandemic, the number of new cases of a disease in each of these neighbourhoods was recorded over a period of five days. On each day, the number of new cases recorded in any of the neighbourhoods was either 0, 1, 2 or 3.
The following facts are also known:

  1. There was at least one new case in every neighbourhood on Day 1.
  2. On each of the five days, there were more new cases in Kitmisto than in Pesmisto.
  3. The number of new cases in the city in a day kept increasing during the five -day period. The number of new cases on Day 3 was exactly one more than that on Day 2.
  4. The maximum number of new cases in a day in Pesmisto was 2, and this happened only once during the five-day period.
  5. Kitmisto is the only place to have 3 new cases on Day 2.
  6. The total numbers of new cases in Levmisto, Tyhrmisto, Pesmisto and Kitmisto over the five-day period were 12, 12, 5 and 14 respectively.

Q. Which of the two statements below is/are necessarily false? Statement A: There were 2 new cases in Tyhrmisto on Day 3. Statement B: There were no new cases in Pesmisto on Day 2.

CAT 2022 Slot 3: Past Year Question Paper - Question 39

There are only four neighbourhoods in a city - Levmisto, Tyhrmisto, Pesmisto and Kitmisto. During the onset of a pandemic, the number of new cases of a disease in each of these neighbourhoods was recorded over a period of five days. On each day, the number of new cases recorded in any of the neighbourhoods was either 0, 1, 2 or 3.
The following facts are also known:

  1. There was at least one new case in every neighbourhood on Day 1.
  2. On each of the five days, there were more new cases in Kitmisto than in Pesmisto.
  3. The number of new cases in the city in a day kept increasing during the five -day period. The number of new cases on Day 3 was exactly one more than that on Day 2.
  4. The maximum number of new cases in a day in Pesmisto was 2, and this happened only once during the five-day period.
  5. Kitmisto is the only place to have 3 new cases on Day 2.
  6. The total numbers of new cases in Levmisto, Tyhrmisto, Pesmisto and Kitmisto over the five-day period were 12, 12, 5 and 14 respectively.

Q. On how many days did Levmisto and Tyhrmisto have the same number of new cases?

CAT 2022 Slot 3: Past Year Question Paper - Question 40

What BEST can be said about the amount of money that Ritesh had with him at the end of Round 8?

CAT 2022 Slot 3: Past Year Question Paper - Question 41

What BEST can be said about the amount of money that Pulak had with him at the end of Round 6?

*Answer can only contain numeric values
CAT 2022 Slot 3: Past Year Question Paper - Question 42

How much money (in ₹) did Ritesh have at the end of Round 4?


*Answer can only contain numeric values
CAT 2022 Slot 3: Past Year Question Paper - Question 43

How many games were played with a bet of ₹2?


CAT 2022 Slot 3: Past Year Question Paper - Question 44

Which of the following pairings was made in Round 5?

CAT 2022 Slot 3: Past Year Question Paper - Question 45

The arithmetic mean of all the distinct numbers that can be obtained by rearranging the digits in 1421, including itself, is

CAT 2022 Slot 3: Past Year Question Paper - Question 46

Two ships are approaching a port along straight routes at constant speeds. Initially, the two ships and the port formed an equilateral triangle with sides of length 24 km. When the slower ship travelled 8 km, the triangle formed by the new positions of the two ships and the port became right-angled. When the faster ship reaches the port, the distance, in km, between the other ship and the port will be

CAT 2022 Slot 3: Past Year Question Paper - Question 47

Suppose k it is any integer such that the equation 2x2 + kx + 5 = 0 has no real roots and the equation x2 + (k − 5)x + 1 = 0 has two distinct real roots for x. Then, the number of possible values of k is

CAT 2022 Slot 3: Past Year Question Paper - Question 48

A glass contains 500 cc of milk and a cup contains 500 cc of water. From the glass, 150 cc of milk is transferred to the cup and mixed thoroughly. Next, 150 cc of this mixture is transferred from the cup to the glass. Now, the amount of water in the glass and the amount of milk in the cup are in the ratio

CAT 2022 Slot 3: Past Year Question Paper - Question 49

If  for some non-zero real numbers x and y, then c cannot take the value

CAT 2022 Slot 3: Past Year Question Paper - Question 50

The minimum possible value of 

*Answer can only contain numeric values
CAT 2022 Slot 3: Past Year Question Paper - Question 51

Bob can finish a job in 40 days, if he works alone. Alex is twice as fast as Bob and thrice as fast as Cole in the same job. Suppose Alex and Bob work together on the first day, Bob and Cole work together on the second day, Cole and Alex work together on the third day, and then, they continue the work by repeating this three-day roster, with Alex and Bob working together on the fourth day, and so on. Then, the total number of days Alex would have worked when the job gets finished, is


*Answer can only contain numeric values
CAT 2022 Slot 3: Past Year Question Paper - Question 52

Moody takes 30 seconds to finish riding an escalator if he walks on it at his normal speed in the same direction. He takes 20 seconds to finish riding the escalator if he walks at twice his normal speed in the same direction. If Moody decides to stand still on the escalator, then the time, in seconds, needed to finish riding the escalator is


CAT 2022 Slot 3: Past Year Question Paper - Question 53

Consider six distinct natural numbers such that the average of the two smallest numbers is 14, and the average of the two largest numbers is 28. Then, the maximum possible value of the average of these six numbers is

CAT 2022 Slot 3: Past Year Question Paper - Question 54

The lengths of all four sides of a quadrilateral are integer valued. If three of its sides are of length 1 cm, 2 cm and 4 cm, then the total number of possible lengths of the fourth side is

*Answer can only contain numeric values
CAT 2022 Slot 3: Past Year Question Paper - Question 55

The average of all 3-digit terms in the arithmetic progression 38, 55, 72, ..., is


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CAT 2022 Slot 3: Past Year Question Paper - Question 56

If  for all non-zero real values of a and b, then the value of x + y is


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CAT 2022 Slot 3: Past Year Question Paper - Question 57

Suppose the medians BD and CE of a triangle ABC intersect at a point O. If area of triangle ABC is 108 sq. cm., then, the area of the triangle EOD, in sq. cm., is


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CAT 2022 Slot 3: Past Year Question Paper - Question 58

A donation box can receive only cheques of ₹100, ₹250, and ₹500. On one good day, the donation box was found to contain exactly 100 cheques amounting to a total sum of ₹15250. Then, the maximum possible number of cheques of ₹500 that the donation box may have contained, is


CAT 2022 Slot 3: Past Year Question Paper - Question 59

Two cars travel from different locations at constant speeds. To meet each other after starting at the same time, they take 1.5 hours if they travel towards each other, but 10.5 hours if they travel in the same direction. If the speed of the slower car is 60 km/hr, then the distance traveled, in km, by the slower car when it meets the other car while traveling towards each other, is

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CAT 2022 Slot 3: Past Year Question Paper - Question 60

A school has less than 5000 students and if the students are divided equally into teams of either 9 or 10 or 12 or 25 each, exactly 4 are always left out. However, if they are divided into teams of 11 each, no one is left out. The maximum number of teams of 12 each that can be formed out of the students in the school is


CAT 2022 Slot 3: Past Year Question Paper - Question 61

Nitu has an initial capital of ₹20,000. Out of this, she invests ₹8.000 at 5.5% in bank A, ₹5,000 at 5.6% in bank B and the remaining amount at x% in bank C, each rate being simple interest per annum. Her combined annual interest income from these investments is equal to 5% of the initial capital. If she had invested her entire initial capital in bank C alone, then her annual interest income, in rupees, would have been

CAT 2022 Slot 3: Past Year Question Paper - Question 62

In a triangle ABC, AB = AC = 8 cm. A circle drawn with BC as diameter passes through A. Another circle drawn with center at A passes through B and C. Then the area, in sq. cm, of the overlapping region between the two circles is

CAT 2022 Slot 3: Past Year Question Paper - Question 63

Let r be a real number and  Then, the equation f(x) = f(f(x)) holds for all real values of x where

CAT 2022 Slot 3: Past Year Question Paper - Question 64

A group of N people worked on a project. They finished 35% of the project by working 7 hours a day for 10 days. Thereafter, 10 people left the group and the remaining people finished the rest of the project in 14 days by working 10 hours a day. Then the value of N is

CAT 2022 Slot 3: Past Year Question Paper - Question 65

If  is a root of the equation ax2 + bx + c = 0, and  is a root of the equation ay2 + my + n = 0, where a, b, c, m and n are integers, then the value of  is

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CAT 2022 Slot 3: Past Year Question Paper - Question 66

In an examination, the average marks of students in sections A and B are 32 and 60, respectively. The number of students in section A is 10 less than that in section B. If the average marks of all the students across both the sections combined is an integer, then the difference between the maximum and minimum possible number of students in section A is


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