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Home›PYQs›CAT 2023›Slot 2 DILR
CAT 2023DILRSlot 2 · Afternoon

CAT 2023 Slot 2 DILR Question Paper with Solutions

40 Minutes20 QuestionsNov 26, 20233 marks correct · −1 wrong
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Passage 1 · CAT2023Slot2_DILR1 · 5 Questions

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There are nine boxes arranged in a 3×3 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.
Q1CAT 2023 Slot 2 DILR
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What is the total number of coins in all the boxes in the 3rd row?
Q2CAT 2023 Slot 2 DILR
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How many boxes have at least one sack containing 9 coins?
Q3CAT 2023 Slot 2 DILR
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For how many boxes are the average and median of the numbers of coins contained in the three sacks in that box the same?
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Q4CAT 2023 Slot 2 DILR
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How many sacks have exactly one coin?
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Q5CAT 2023 Slot 2 DILR
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In how many boxes do all three sacks contain different numbers of coins?
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Passage 2 · CAT2023Slot2_DILR2 · 5 Questions

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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.

Table 1: 2-day averages for Days 2 through 5
Day 2Day 3Day4Day 5
1515.51617


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.

Table 2: Ranks of participants on each day
Day 1Day 2Day 3Day 4Day 5
Akhil12233
Bimal23211
Chatur31122


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.
Q6CAT 2023 Slot 2 DILR
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What is Akhil's score on Day 1?
Q7CAT 2023 Slot 2 DILR
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Who attains the maximum total score?
Q8CAT 2023 Slot 2 DILR
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What is the minimum possible total score of Bimal?
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Q9CAT 2023 Slot 2 DILR
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If the total score of Bimal is a multiple of 3, what is the score of Akhil on Day 2?
Q10CAT 2023 Slot 2 DILR
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If Akhil attains a total score of 24, then what is the total score of Bimal?
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Passage 3 · CAT2023Slot2_DILR3 · 5 Questions

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Odsville has five firms – Alfloo, Bzygoo, Czechy, Drjbna and Elavalaki. Each of these firms was founded in some year and also closed down a few years later.

Each firm raised Rs. 1 crore in its first and last year of existence. The amount each firm raised every year increased until it reached a maximum, and then decreased until the firm closed down. No firm raised the same amount of money in two consecutive years. Each annual increase and decrease was either by Rs. 1 crore or by Rs. 2 crores.

The table below provides partial information about the five firms.

FirmFirst year of existenceLast year of existenceTotal amount raised (Rs. crores)
Alfloo2009201621
Bzygoo20122015
Czechy20139
Drjbna2011201510
Elavalaki201013


Q11CAT 2023 Slot 2 DILR
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For which firm(s) can the amounts raised by them be concluded with certainty in each year?
Q12CAT 2023 Slot 2 DILR
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What best can be concluded about the total amount of money raised in 2015?
Q13CAT 2023 Slot 2 DILR
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What is the largest possible total amount of money (in Rs. crores) that could have been raised in 2013?
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Q14CAT 2023 Slot 2 DILR
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If Elavalaki raised Rs. 3 crores in 2013, then what is the smallest possible total amount of money (in Rs. crores) that could have been raised by all the companies in 2012?
Q15CAT 2023 Slot 2 DILR
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If the total amount of money raised in 2014 is Rs. 12 crores, then which of the following is not possible?
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Passage 4 · CAT2023Slot2_DILR4 · 5 Questions

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Anjali, Bipasha, and Chitra visited an entertainment park that has four rides. Each ride lasts one hour and can accommodate one visitor at one point. All rides begin at 9 am and must be completed by 5 pm except for Ride-3, for which the last ride has to be completed by 1 pm. Ride gates open every 30 minutes, e.g. 10 am, 10:30 am, and so on. Whenever a ride gate opens, and there is no visitor inside, the first visitor waiting in the queue buys the ticket just before taking the ride. The ticket prices are Rs. 20, Rs. 50, Rs. 30 and Rs. 40 for Rides 1 to 4, respectively. Each of the three visitors took at least one ride and did not necessarily take all rides. None of them took the same ride more than once. The movement time from one ride to another is negligible, and a visitor leaves the ride immediately after the completion of the ride. No one takes a break inside the park unless mentioned explicitly.

The following information is also known.
1. Chitra never waited in the queue and completed her visit by 11 am after spending Rs. 50 to pay for the ticket(s).
2. Anjali took Ride-1 at 11 am after waiting for 30 mins for Chitra to complete it. It was the only ride where Anjali waited.
3. Bipasha began her first of three rides at 11:30 am. All three visitors incurred the same amount of ticket expense by 12:15 pm.
4. The last ride taken by Anjali and Bipasha was the same, where Bipasha waited 30 mins for Anjali to complete her ride. Before standing in the queue for that ride, Bipasha took a 1-hour coffee break after completing her previous ride.
Q16CAT 2023 Slot 2 DILR
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What was the total amount spent on tickets (in Rs.) by Bipasha?
Q17CAT 2023 Slot 2 DILR
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Which were all the rides that Anjali completed by 2:00 pm?
Q18CAT 2023 Slot 2 DILR
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Which ride was taken by all three visitors?
Q19CAT 2023 Slot 2 DILR
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How many rides did Anjali and Chitra take in total?
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Q20CAT 2023 Slot 2 DILR
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What was the total amount spent on tickets (in Rs.) by Anjali?
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About CAT 2023 Slot 2 DILR

The DILR section of CAT 2023 Slot 2 was conducted on November 30, 2023, the last Sunday of November — consistent with IIM's scheduling across all recent years. The section contains 24 questions to be answered in 40 minutes, carrying 72 marks in total. There is no sectional time limit within the overall exam, but students choosing to switch sections mid-paper lose the ability to return — making pacing within DILR critical.

Passage Topics in CAT 2023 Slot 2 DILR

CAT 2023 Slot 2 DILR featured four reading comprehension passages and a standalone Verbal Ability block. The RC passages spanned complexity theory and global systems, the aesthetics of electronic music, the economics of income inequality, and the legal history of criminal responsibility — a typical CAT spread across the sciences, humanities, and social sciences. The VA section included Para Jumbles, Para Summary, and Odd Sentence Out questions, consistent with the pattern since CAT 2019.

CAT 2023 DILR Marking Scheme

  • Correct answer (MCQ): +3 marks
  • Wrong answer (MCQ): −1 mark
  • Unattempted (MCQ): 0 marks
  • TITA questions (if any): +3 correct, no negative marking

How to Use This Question Paper

Click any answer option to immediately check your answer. The correct option is highlighted in green; if you selected the wrong option, it is shown in red and the correct answer is revealed. A detailed explanation appears below each question after you answer it, along with statistics showing what percentage of students answered correctly in the actual exam.

The question navigator at the top of the page updates in real time — green bubbles indicate correct answers and red indicate wrong. Use this to spot weak areas at a glance. To practice under timed conditions, use the Take Full Mock button to attempt the complete CAT 2023 Slot 2 paper with a live timer and percentile benchmarking.

Tips for CAT DILR Preparation

Reading Comprehension accounts for roughly two-thirds of the DILR section. The passages in CAT are dense and argumentative — they reward close reading of the author's position rather than skimming for facts. Practising on past papers is the most reliable way to calibrate your reading speed, improve inference accuracy, and recognise the types of questions IIM setters favour. Use the answer statistics on this page to benchmark yourself; questions where more than 50% of test-takers answered correctly are ones you should aim to get right every time.

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