CAT 2022 · Slot 3 — Data Interpretation & Logical Reasoning

All 20 DILR questions from the CAT 2022 · Slot 3 paper, with the correct answer for each.

Questions 1–5

Mortality study from 1980. 1000 males + 1000 females, each 250 aged 10-20/20-30/30-40/40-50 in 1980, followed 40 years. Bar charts give the age profile of those STILL ALIVE in 1990/2000/2010/2020 (M=blue,F=pink). A cohort ages one band per decade.

Question 1

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

  1. 71 : 69
  2. 41 : 43
  3. 129 : 131
  4. 109 : 107

Correct answer: A · 71 : 69

Question 2

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

  1. 110
  2. 90
  3. 190
  4. 310

Correct answer: C · 190

Question 3

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

  1. 240
  2. 580
  3. 470
  4. 230

Correct answer: C · 470

Question 4

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

Correct answer: 40

Question 5

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

Correct answer: 40

Questions 6–10

Four neighbourhoods (Levmisto, Tyhrmisto, Pesmisto, Kitmisto), 5 days; new cases per day per neighbourhood in {0,1,2,3}. Facts: (1) each neighbourhood >=1 case on Day 1; (2) Kitmisto > Pesmisto every day; (3) city daily total strictly increasing, Day3 = Day2+1; (4) Pesmisto max = 2, exactly once; (5) Kitmisto is the only place with 3 cases on Day 2; (6) 5-day totals Lev/Tyh/Pes/Kit = 12/12/5/14.

Question 6

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

  1. Either 7 or 8
  2. Exactly 7
  3. Either 6 or 7
  4. Exactly 8

Correct answer: D · Exactly 8

Question 7

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

  1. Either 2 or 3
  2. Exactly 2
  3. Exactly 3
  4. Either 0 or 1

Correct answer: C · Exactly 3

Question 8

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

  1. Only Day 3
  2. Only Day 2
  3. Both Day 2 and Day 3
  4. Both Day 2 and Day 4

Correct answer: A · Only Day 3

Question 9

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

  1. Statement A only
  2. Neither Statement A nor Statement B
  3. Statement B only
  4. Both Statement A and Statement B

Correct answer: D · Both Statement A and Statement B

Question 10

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

  1. 2
  2. 3
  3. 4
  4. 5

Correct answer: D · 5

Questions 11–15

All first-year CS students take BOTH AI and ML; non-CS students take ONE (not both). Fail=F; pass=A/B/C. Facts: (1) non-CS AI:ML takers = 2:5; (2) non-CS total = CS count; (3) non-CS fails in the two courses equal, total = CS students with C in ML; (4) 50% of passers got B; A=C for AI, A:C=3:2 for ML; (5) no CS failed AI, no non-CS got A in AI; (6) CS grades A:B:C = 3:5:2 (AI), 4:5:2 (ML); (7) total non-CS fails : CS fails = 3:1; (8) 30 failed ML.

Question 11

How many students took AI?

  1. 60
  2. 210
  3. 90
  4. 270

Correct answer: D · 270

Question 12

How many CS students failed in ML?

Correct answer: 12

Question 13

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

Correct answer: 27

Question 14

How many students got A grade in AI?

  1. 99
  2. 42
  3. 84
  4. 63

Correct answer: D · 63

Question 15

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

  1. 165
  2. 75
  3. 25
  4. 90

Correct answer: B · 75

Questions 16–20

Pulak, Qasim, Ritesh, and Suresh participated in a tournament comprising of eight rounds. In each round, they formed two pairs, with each of them being in exactly one pair. The only restriction in the pairing was that the pairs would change in successive rounds. For example, if Pulak formed a pair with Qasim in the first round, then he would have to form a pair with Ritesh or Suresh in the second round. He would be free to pair with Qasim again in the third round. In each round, each pair decided whether to play the game in that round or not. If they decided not to play, then no money was exchanged between them. If they decided to play, they had to bet either Rs.1 or Rs.2 in that round. For example, if they chose to bet Rs.2, then the player winning the game got Rs.2 from the one losing the game.

At the beginning of the tournament, the players had Rs.10 each. The following table shows partial information about the amounts that the players had at the end of each of the eight rounds. It shows every time a player had Rs.10 at the end of a round, as well as every time, at the end of a round, a player had either the minimum or the maximum amount that he would have had across the eight rounds. For example, Suresh had Rs.10 at the end of Rounds 1, 3, and 8 and not after any of the other rounds. The maximum amount that he had at the end of any round was Rs.13 (at the end of Round 5), and the minimum amount he had at the end of any round was Rs.8 (at the end of Round 2). At the end of all other rounds, he must have had either Rs.9, Rs.11, or Rs.12.

It was also known that Pulak and Qasim had the same amount of money with them at the end of Round 4.

Question 16

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

  1. Rs. 4 or Rs. 5
  2. Exactly Rs. 5
  3. Rs. 5 or Rs. 6
  4. Exactly Rs. 6

Correct answer: D · Exactly Rs. 6

Question 17

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

  1. Exactly Rs. 12
  2. Exactly Rs. 11
  3. Rs. 12 or Rs. 13
  4. Rs. 11 or Rs. 12

Correct answer: A · Exactly Rs. 12

Question 18

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

Correct answer: 6

Question 19

How many games were played with a bet of Rs. 2?

Correct answer: 6

Question 20

Which of the following pairings was made in Round 5?

  1. Qasim and Suresh
  2. Pulak and Ritesh
  3. Pulak and Qasim
  4. Pulak and Suresh

Correct answer: D · Pulak and Suresh