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Home›PYQs›CAT 2021›Slot 2 DILR
CAT 2021DILRSlot 2 · Afternoon

CAT 2021 Slot 2 DILR Question Paper with Solutions

40 Minutes20 QuestionsNov 28, 20213 marks correct · −1 wrong
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Passage 1 · CAT2021Slot2_DILR1 · 6 Questions

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Ten objects o1, o2, …, o10 were distributed among Amar, Barat, Charles, Disha, and Elise. Each item went to exactly one person. Each person got exactly two of the items, and this pair of objects is called her/his bundle.

The following table shows how each person values each object.



The value of any bundle by a person is the sum of that person’s values of the objects in that bundle. A person X envies another person Y if X values Y’s bundle more than X’s own bundle.

For example, hypothetically suppose Amar’s bundle consists of o1 and o2, and Barat’s bundle consists of o3 and o4. Then Amar values his own bundle at 4 + 9 = 13 and Barat’s bundle at 9 + 3 = 12. Hence Amar does not envy Barat. On the other hand, Barat values his own bundle at 7 + 5 = 12 and Amar’s bundle at 5 + 9 = 14. Hence Barat envies Amar.

The following facts are known about the actual distribution of the objects among the five people.
1. If someone’s value for an object is 10, then she/he received that object.
2. Objects o1, o2, and o3 were given to three different people.
3. Objects o1 and o8 were given to different people.
4. Three people value their own bundles at 16. No one values her/his own bundle at a number higher than 16.
5. Disha values her own bundle at an odd number. All others value their own bundles at an even number.
6. Some people who value their own bundles less than 16 envy some other people who value their own bundle at 16. No one else envies others.
Q1CAT 2021 Slot 2 DILR
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What BEST can be said about object o8?
Q2CAT 2021 Slot 2 DILR
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Who among the following envies someone else?
Q3CAT 2021 Slot 2 DILR
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What is Amar’s value for his own bundle?
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Q4CAT 2021 Slot 2 DILR
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Object o4 was given to
Q5CAT 2021 Slot 2 DILR
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Object o5 was given to
Q6CAT 2021 Slot 2 DILR
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What BEST can be said about the distribution of object o1?
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Passage 2 · CAT2021Slot2_DILR2 · 4 Questions

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The game of Chango is a game where two people play against each other; one of them wins and the other loses, i.e., there are no drawn Chango games. 12 players participated in a Chango championship. They were divided into four groups: Group A consisted of Aruna, Azul, and Arif; Group B consisted of Brinda, Brij, and Biju; Group C consisted of Chitra, Chetan, and Chhavi; and Group D consisted of Dipen, Donna, and Deb.

Players within each group had a distinct rank going into the championship. The players have NOT been listed necessarily according to their ranks. In the group stage of the game, the second and third ranked players play against each other, and the winner of that game plays against the first ranked player of the group. The winner of this second game is considered as the winner of the group and enters a semi-final.

The winners from Groups A and B play against each other in one semi-final, while the winners from Groups C and D play against each other in the other semi-final. The winners of the two semi-finals play against each other in the final to decide the winner of the championship.

It is known that:
1. Chitra did not win the championship.
2. Aruna did not play against Arif. Brij did not play against Brinda.
3. Aruna, Biju, Chitra, and Dipen played three games each, Azul and Chetan played two games each, and the remaining players played one game each.
Q7CAT 2021 Slot 2 DILR
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Who among the following was DEFINITELY NOT ranked first in his/her group?
Q8CAT 2021 Slot 2 DILR
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Which of the following pairs must have played against each other in the championship?
Q9CAT 2021 Slot 2 DILR
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Who won the championship?
Q10CAT 2021 Slot 2 DILR
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Who among the following did NOT play against Chitra in the championship?
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Passage 3 · CAT2021Slot2_DILR3 · 4 Questions

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The different bars in the diagram above provide information about different orders in various categories (Art, Binders, ….) that were booked in the first two weeks of September of a store for one client. The colour and pattern of a bar denotes the ship mode (First Class / Second Class / Standard Class). The left end point of a bar indicates the booking day of the order, while the right end point indicates the dispatch day of the order. The difference between the dispatch day and the booking day (measured in terms of the number of days) is called the processing time of the order. For the same category, an order is considered for booking only after the previous order of the same category is dispatched. No two consecutive orders of the same category had identical ship mode during this period.

For example, there were only two orders in the furnishing category during this period. The first one was shipped in the Second Class. It was booked on Sep 1 and dispatched on Sep 5. The second order was shipped in the Standard class. It was booked on Sep 5 (although the order might have been placed before that) and dispatched on Sep 12. So the processing times were 4 and 7 days respectively for these orders.

Q11CAT 2021 Slot 2 DILR
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How many days between Sep 1 and Sep 14 (both inclusive) had no booking from this client considering all the above categories?
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Q12CAT 2021 Slot 2 DILR
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What was the average processing time of all orders in the categories which had only one type of ship mode?
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Q13CAT 2021 Slot 2 DILR
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The sequence of categories -- Art, Binders, Paper and Phones -- in decreasing order of average processing time of their orders in this period is:
Q14CAT 2021 Slot 2 DILR
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Approximately what percentage of orders had a processing time of one day during the period Sep 1 to Sep 22 (both dates inclusive)?
RC

Passage 4 · CAT2021Slot2_DILR4 · 6 Questions

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Ravi works in an online food-delivery company. After each delivery, customers rate Ravi on each of four parameters – Behaviour, Packaging, Hygiene, and Timeliness, on a scale from 1 to 9. If the total of the four rating points is 25 or more, then Ravi gets a bonus of ₹20 for that delivery. Additionally, a customer may or may not give Ravi a tip. If the customer gives a tip, it is either ₹30 or ₹50.

One day, Ravi made four deliveries - one to each of Atal, Bihari, Chirag and Deepak, and received a total of ₹120 in bonus and tips. He did not get both a bonus and a tip from the same customer.

The following additional facts are also known.
1. In Timeliness, Ravi received a total of 21 points, and three of the customers gave him the same rating points in this parameter. Atal gave higher rating points than Bihari and Chirag in this parameter.
2. Ravi received distinct rating points in Packaging from the four customers adding up to 29 points. Similarly, Ravi received distinct rating points in Hygiene from the four customers adding up to 26 points.
3. Chirag gave the same rating points for Packaging and Hygiene.
4. Among the four customers, Bihari gave the highest rating points in Packaging, and Chirag gave the highest rating points in Hygiene.
5. Everyone rated Ravi between 5 and 7 in Behaviour. Unique maximum and minimum ratings in this parameter were given by Atal and Deepak respectively.
6. If the customers are ranked based on ratings given by them in individual parameters, then Atal’s rank based on Packaging is the same as that based on Hygiene. This is also true for Deepak.
Q15CAT 2021 Slot 2 DILR
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What was the minimum rating that Ravi received from any customer in any parameter?
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Q16CAT 2021 Slot 2 DILR
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The COMPLETE list of customers who gave the maximum total rating points to Ravi is
Q17CAT 2021 Slot 2 DILR
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What rating did Atal give on Timeliness?
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Q18CAT 2021 Slot 2 DILR
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What BEST can be concluded about the tip amount given by Deepak?
Q19CAT 2021 Slot 2 DILR
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In which parameter did Atal give the maximum rating points to Ravi?
Q20CAT 2021 Slot 2 DILR
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What rating did Deepak give on Packaging?

About CAT 2021 Slot 2 DILR

The DILR section of CAT 2021 Slot 2 was conducted on November 30, 2021, 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 2021 Slot 2 DILR

CAT 2021 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 2021 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 2021 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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