CAT 2023 · Slot 2 — Data Interpretation & Logical Reasoning

All 20 DILR questions from the CAT 2023 · Slot 2 paper, with the correct answer for each.

Questions 1–5

There are nine boxes arranged in a 3x3 array as shown in Tables 1 and 2. Each box contains three sacks. Each sack has a certain number of coins, between 1 and 9, both inclusive.

The average number of coins per sack in the boxes are all distinct integers. The total number of coins in each row is the same. The total number of coins in each column is also the same.

Table 1 gives information regarding the median of the numbers of coins in the three sacks in a box for some of the boxes. In Table 2 each box has a number which represents the number of sacks in that box having more than 5 coins. That number is followed by a * if the sacks in that box satisfy exactly one among the following three conditions, and it is followed by ** if two or more of these conditions are satisfied.

i) The minimum among the numbers of coins in the three sacks in the box is 1.
ii) The median of the numbers of coins in the three sacks is 1.
iii) The maximum among the numbers of coins in the three sacks in the box is 9.

Question 1

What is the total number of coins in all the boxes in the 3rd row?

  1. 36
  2. 30
  3. 15
  4. 45

Correct answer: D · 45

Question 2

How many boxes have at least one sack containing 9 coins?

  1. 3
  2. 4
  3. 5
  4. 8

Correct answer: C · 5

Question 3

For how many boxes are the average and median of the numbers of coins the same?

Correct answer: 4

Question 4

How many sacks have exactly one coin? (type in numerical)

Correct answer: 9

Question 5

In how many boxes do all three sacks contain different numbers of coins? (type in numerical)

Correct answer: 5

Questions 6–10

Odsville has five firms (Alfloo, Bzygoo, Czechy, Drjbna, Elavalaki). Each founded in some year, closed a few years later. Each raised Rs.1 cr in its first AND last year; yearly amount rose to one peak then fell; no two consecutive years equal; each step +/-1 or +/-2 cr.

Question 6

For which firm(s) can the amounts raised by them be concluded with certainty in each year?

  1. Only Bzygoo and Czechy and Drjbna
  2. Only Czechy and Drjbna
  3. Only Drjbna
  4. Only Czechy

Correct answer: B · Only Czechy and Drjbna

Question 7

What best can be concluded about the total amount of money raised in 2015?

  1. It is either Rs.7 or 8 or 9 crores
  2. It is exactly Rs.8 crores
  3. It is either Rs.7 or Rs.8 crores
  4. It is either Rs.8 or Rs.9 crores

Correct answer: C · It is either Rs.7 or Rs.8 crores

Question 8

What is the largest possible total amount of money (in Rs. crores) that could have been raised in 2013?

Correct answer: 17

Question 9

If Elavalaki raised Rs.3 crores in 2013, then what is the smallest possible total amount (in Rs. crores) raised by all the companies in 2012?

  1. 12
  2. 9
  3. 11
  4. 10

Correct answer: C · 11

Question 10

If the total amount of money raised in 2014 is Rs.12 crores, then which of the following is NOT possible?

  1. Bzygoo raised the same amount as Elavalaki in 2013
  2. Alfloo raised the same amount as Drjbna in 2013
  3. Alfloo raised the same amount as Bzygoo in 2014
  4. Bzygoo raised more money than Elavalaki in 2014

Correct answer: A · Bzygoo raised the same amount as Elavalaki in 2013

Questions 11–15

Three participants - Akhil, Bimal and Chatur participate in a random draw competition for five days. Every day, each participant randomly picks up a ball numbered between 1 and 9. The number on the ball determines his score on that day. The total score of a participant is the sum of his scores attained in the five days. The total score of a day is the sum of participants' scores on that day. The 2-day average on a day, except on Day 1, is the average of the total scores of that day and of the previous day. For example, if the total scores of Day 1 and Day 2 are 25 and 20, then the 2-day average on Day 2 is calculated as 22.5. Table 1 gives the 2-day averages for Days 2 through 5.

Participants are ranked each day, with the person having the maximum score being awarded the minimum rank (1) on that day. If there is a tie, all participants with the tied score are awarded the best available rank. For example, if on a day Akhil, Bimal, and Chatur score 8, 7 and 7 respectively, then their ranks will be 1, 2 and 2 respectively on that day. These ranks are given in Table 2.

The following information is also known.
1. Chatur always scores in multiples of 3. His score on Day 2 is the unique highest score in the competition. His minimum score is observed only on Day 1, and it matches Akhil's score on Day 4.
2. The total score on Day 3 is the same as the total score on Day 4.
3. Bimal's scores are the same on Day 1 and Day 3.

Question 11

What is Akhil's score on Day 1?

  1. 5
  2. 7
  3. 6
  4. 8

Correct answer: B · 7

Question 12

Who attains the maximum total score?

  1. Cannot be determined
  2. Akhil
  3. Bimal
  4. Chatur

Correct answer: D · Chatur

Question 13

What is the minimum possible total score of Bimal?

Correct answer: 25

Question 14

If the total score of Bimal is a multiple of 3, what is the score of Akhil on Day 2?

  1. Cannot be determined
  2. 5
  3. 6
  4. 4

Correct answer: D · 4

Question 15

If Akhil attains a total score of 24, then what is the total score of Bimal?

Correct answer: 26

Questions 16–20

Anjali/Bipasha/Chitra, entertainment park, 4 rides (each 1hr, one visitor at a time). Rides run 9am-5pm except Ride-3 (last must finish by 1pm). Gates open every 30 min; first waiting visitor buys ticket. Prices R1=20,R2=50,R3=30,R4=40. Each visitor >=1 ride, none repeats a ride. Clues: (1) Chitra never waits, done by 11am, spent Rs50; (2) Anjali took R1 at 11am after 30-min wait for Chitra (her only wait); (3) Bipasha's first of 3 rides at 11:30am; all three equal ticket spend by 12:15pm; (4) Anjali & Bipasha share their last ride (R4), Bipasha waited 30 min for Anjali, and took a 1-hr coffee break before it.

Question 16

What was the total amount spent on tickets (in Rs.) by Bipasha?

  1. 90
  2. 120
  3. 110
  4. 100

Correct answer: C · 110

Question 17

Which were all the rides that Anjali completed by 2:00 pm?

  1. Ride-1 and Ride-3
  2. Ride-1, Ride-2, and Ride-3
  3. Ride-1, Ride-2, and Ride-4
  4. Ride-1 and Ride-4

Correct answer: B · Ride-1, Ride-2, and Ride-3

Question 18

Which ride was taken by all three visitors?

  1. Ride-1
  2. Ride-4
  3. Ride-3
  4. Ride-2

Correct answer: A · Ride-1

Question 19

How many rides did Anjali and Chitra take in total?

Correct answer: 6

Question 20

What was the total amount spent on tickets (in Rs.) by Anjali?

Correct answer: 140