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Home›PYQs›CAT 2025›Slot 2 DILR
CAT 2025DILRSlot 2 · Afternoon

CAT 2025 Slot 2 DILR Question Paper with Solutions

40 Minutes22 QuestionsNov 30, 20253 marks correct · −1 wrong
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Passage 1 · CAT2025Slot2_DILR1 · 4 Questions

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The following charts depict details of research papers written by four authors, Arman, Brajen, Chintan, and Devon. The papers were of four types, single-author, two-author, three-author, and four-author, that is, written by one, two, three, or all four of these authors, respectively. No other authors were involved in writing these papers.



The following additional facts are known.

1. Each of the authors wrote at least one of each of the four types of papers.
2. The four authors wrote different numbers of single-author papers.
3. Both Chintan and Devon wrote more three-author papers than Brajen.
4. The number of single-author and two-author papers written by Brajen were the same.
Q1CAT 2025 Slot 2 DILR
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What was the total number of two-author and three-author papers written by Brajen?
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Q2CAT 2025 Slot 2 DILR
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Which of the following statements is/are NECESSARILY true?
i. Chintan wrote exactly three two-author papers.
ii. Chintan wrote more single-author papers than Devon.
Q3CAT 2025 Slot 2 DILR
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Which of the following statements is/are NECESSARILY true?
i. Arman wrote three-author papers only with Chintan and Devon.
ii. Brajen wrote three-author papers only with Chintan and Devon.
Q4CAT 2025 Slot 2 DILR
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If Devon wrote more than one two-author papers, then how many two-author papers did Chintan write?
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Passage 2 · CAT2025Slot2_DILR2 · 4 Questions

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There are six spherical balls, B1, B2, B3, B4, B5, and B6, and four circular hoops H1, H2, H3, and H4.

Each ball was tested on each hoop once, by attempting to pass the ball through the hoop. If the diameter of a ball is not larger than the diameter of the hoop, the ball passes through the hoop and makes a “ping”. Any ball having a diameter larger than that of the hoop gets stuck on that hoop and does not make a ping.

The following additional information is known:

1. B1 and B6 each made a ping on H4, but B5 did not.
2. B4 made a ping on H3, but B1 did not.
3. All balls, except B3, made pings on H1.
4. None of the balls, except B2, made a ping on H2.
Q5CAT 2025 Slot 2 DILR
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What was the total number of pings made by B1B_1B1​, B2B_2B2​, and B3B_3B3​?
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Q6CAT 2025 Slot 2 DILR
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Which of the following statements about the relative sizes of the balls is NOT NECESSARILY true?
Q7CAT 2025 Slot 2 DILR
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Which of the following statements about the relative sizes of the hoops is true?
Q8CAT 2025 Slot 2 DILR
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What BEST can be said about the total number of pings from all the tests undertaken?
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Passage 3 · CAT2025Slot2_DILR3 · 4 Questions

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The Sustainability Index (SI) of a country at a point in time is an integer between 1 and 100. This question is related to SI of six countries – A, B, C, D, E, and F – at three different points in time – 2016, 2020, and 2024. The plot represents the exact changes in their SI, with X-coordinate representing % increase in 2020 from 2016, i.e., SI in 2020 - SI in 2016SI in 2016 \dfrac{\text{SI in 2020 - SI in 2016}}{\text{SI in 2016}}SI in 2016SI in 2020 - SI in 2016​, and Y-coordinate representing % increase in 2024 from 2020. At any point in time, the country with highest SI is ranked 1, while the country with the lowest SI is ranked 6. The following additional facts are known.

1. In 2016, B, C, E, and A had ranks 1, 2, 3, and 4 respectively.
2. F had lower SI than any other country in 2016, 2020, and 2024.
3. In 2024, E was the only country with SI of 90.
4. The range of SI of the six countries was 60 in 2016 as well as in 2024.



Q9CAT 2025 Slot 2 DILR
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What was the SI of E in 2016?
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Q10CAT 2025 Slot 2 DILR
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What was the SI of F in 2020?
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Q11CAT 2025 Slot 2 DILR
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What was the SI of C in 2024?
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Q12CAT 2025 Slot 2 DILR
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What was the SI of B in 2024?
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Passage 4 · CAT2025Slot2_DILR4 · 5 Questions

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The two most populous cities and the non-urban region (NUR) of each of three states, Whimshire, Fogglia, and Humbleset, are assigned Pollution Measures (PMs). These nine PMs are all distinct multiples of 10, ranging from 10 to 90. The six cities in increasing order of their PMs are: Blusterburg, Noodleton, Splutterville, Quackford, Mumpypore, Zingaloo.

The Pollution Index (PI) of a state is a weighted average of the PMs of its NUR and cities, with a weight of 50% for the NUR, and 25% each for its two cities.

There is only one pair of an NUR and a city (considering all cities and all NURs) where the PM of the NUR is greater than that of the city. That NUR and the city both belong to Humbleset.

The PIs of all three states are distinct integers, with Humbleset and Fogglia having the highest and the lowest PI respectively.

Q13CAT 2025 Slot 2 DILR
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What is the PI of Whimshire?
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Q14CAT 2025 Slot 2 DILR
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What is the PI of Fogglia?
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Q15CAT 2025 Slot 2 DILR
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What is the PI of Humbleset?
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Q16CAT 2025 Slot 2 DILR
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Which pair of cities definitely belong to the same state?
Q17CAT 2025 Slot 2 DILR
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For how many of the cities and NURs is it possible to identify their PM and the state they belong to?
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Passage 5 · CAT2025Slot2_DILR5 · 5 Questions

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Ananya Raga, Bhaskar Tala, Charu Veena, and Devendra Sur are four musicians. Each of them started and completed their training as students under each of three Gurus — Pandit Meghnath, Ustad Samiran, and Acharya Raghunath between 2013 and 2024, including both the years. Each Guru trains any student for consecutive years only, for a span of 2, 3, or 4 years, with each Guru having a different span. During some of these years, a student may not have trained under these Gurus; however, they never trained under multiple Gurus in the same year. In none of these years, any of these Gurus trained more than two of these students at the same time. When two students train under the same Guru at the same time, they are referred to as Gurubhai, irrespective of their gender.

The following additional facts are known.

1. Ustad Samiran never trained more than one of these students in the same year.
2. Acharya Raghunath did not train any of these students during 2015-2018, as well as during 2021-24.
3. Ananya and Devendra were never Gurubhai; neither were Bhaskar and Charu. All other pairs of musicians were Gurubhai for exactly 2 years.
4. In 2013, Ananya and Bhaskar started their trainings under Pandit Meghnath and under Ustad Samiran, respectively.
Q18CAT 2025 Slot 2 DILR
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In which of the following years were Ananya and Bhaskar Gurubhai?
Q19CAT 2025 Slot 2 DILR
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In which year did Charu begin her training under Pandit Meghnath?
Q20CAT 2025 Slot 2 DILR
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In which of the following years were Bhaskar and Devendra Gurubhai?
Q21CAT 2025 Slot 2 DILR
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Which of the following statements is TRUE?
Q22CAT 2025 Slot 2 DILR
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Charu was training under Ustad Samiran in 2019.
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About CAT 2025 Slot 2 DILR

The DILR section of CAT 2025 Slot 2 was conducted on November 30, 2025, 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 2025 Slot 2 DILR

CAT 2025 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 2025 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 2025 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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