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Home›PYQs›CAT 2023›Slot 3 DILR
CAT 2023DILRSlot 3 · Evening

CAT 2023 Slot 3 DILR Question Paper with Solutions

40 Minutes20 QuestionsNov 26, 20233 marks correct · −1 wrong
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Passage 1 · CAT2023Slot3_DILR1 · 5 Questions

Read the following and answer the Questions that follow

An air conditioner (AC) company has four dealers – D1, D2, D3 and D4 in a city. It is evaluating sales performances of these dealers. The company sells two variants of ACs – Window and Split. Both these variants can be either Inverter type or Non-inverter type. It is known that of the total number of ACs sold in the city, 25% were of Window variant, while the rest were of Split variant. Among the Inverter ACs sold, 20% were of Window variant.

The following information is also known:
1. Every dealer sold at least two window ACs.
2. D1 sold 13 inverter ACs, while D3 sold 5 Non-inverter ACs.
3. A total of six Window Non-inverter ACs and 36 Split Inverter ACs were sold in the city.
4. The number of Split ACs sold by D1 was twice the number of Window ACs sold by it.
5. D3 and D4 sold an equal number of Window ACs and this number was one-third of the number of similar ACs sold by D2.
6. D2 and D3 were the only ones who sold Window Non-inverter ACs. The number of these ACs sold by D2 was twice the number of these ACs sold by D3.
7. D3 and D4 sold an equal number of Split Inverter ACs. This number was half the number of similar ACs sold by D2.
Q1CAT 2023 Slot 3 DILR
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How many Split Inverter ACs did D2 sell?
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Q2CAT 2023 Slot 3 DILR
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What percentage of ACs sold were of Non-inverter type?
Q3CAT 2023 Slot 3 DILR
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What was the total number of ACs sold by D2 and D4?
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Q4CAT 2023 Slot 3 DILR
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Which of the following statements is necessarily false?
Q5CAT 2023 Slot 3 DILR
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If D3 and D4 sold an equal number of ACs, then what was the number of Non-inverter ACs sold by D2?
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Passage 2 · CAT2023Slot3_DILR2 · 5 Questions

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In a coaching class, some students register online, and some others register offline. No student registers both online and offline; hence the total registration number is the sum of online and offline registrations. The following facts and table pertain to these registration numbers for the five months – January to May of 2023. The table shows the minimum, maximum, median registration numbers of these five months, separately for online, offline and total number of registrations. The following additional facts are known.

1. In every month, both online and offline registration numbers were multiples of 10.
2. In January, the number of offline registrations was twice that of online registrations.
3. In April, the number of online registrations was twice that of offline registrations.
4. The number of online registrations in March was the same as the number of offline registrations in February.
5. The number of online registrations was the largest in May.



Q6CAT 2023 Slot 3 DILR
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What was the total number of registrations in April?
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Q7CAT 2023 Slot 3 DILR
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What was the number of online registrations in January?
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Q8CAT 2023 Slot 3 DILR
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Which of the following statements can be true?
I. The number of offline registrations was the smallest in May.
II. The total number of registrations was the smallest in February.
Q9CAT 2023 Slot 3 DILR
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What best can be concluded about the number of offline registrations in February?
Q10CAT 2023 Slot 3 DILR
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Which pair of months definitely had the same total number of registrations?

I. January and April
II. February and May
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Passage 3 · CAT2023Slot3_DILR3 · 5 Questions

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A, B, C, D, E and F are the six police stations in an area, which are connected by streets as shown below. Four teams – Team 1, Team 2, Team 3 and Team 4 – patrol these streets continuously between 09:00 hrs. and 12:00 hrs. each day.

The teams need 30 minutes to cross a street connecting one police station to another. All four teams start from Station A at 09:00 hrs. and must return to Station A by 12:00 hrs. They can also pass via Station A at any point on their journeys.

The following facts are known.
1. None of the streets has more than one team traveling along it in any direction at any point in time.
2. Teams 2 and 3 are the only ones in stations E and D respectively at 10:00 hrs.
3. Teams 1 and 3 are the only ones in station E at 10:30 hrs.
4. Teams 1 and 4 are the only ones in stations B and E respectively at 11:30 hrs.
5. Team 1 and Team 4 are the only teams that patrol the street connecting stations A and E.
6. Team 4 never passes through Stations B, D or F.



Q11CAT 2023 Slot 3 DILR
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Which one among the following stations is visited the largest number of times?
Q12CAT 2023 Slot 3 DILR
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How many times do the teams pass through Station B in a day?
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Q13CAT 2023 Slot 3 DILR
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Which team patrols the street connecting Stations D and E at 10:15 hrs?
Q14CAT 2023 Slot 3 DILR
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How many times does Team 4 pass through Station E in a day?
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Q15CAT 2023 Slot 3 DILR
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How many teams pass through Station C in a day?
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Passage 4 · CAT2023Slot3_DILR4 · 5 Questions

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There are only three female students – Amala, Koli and Rini – and only three male students – Biman, Mathew and Shyamal – in a course. The course has two evaluation components, a project and a test. The aggregate score in the course is a weighted average of the two components, with the weights being positive and adding to 1.

The projects are done in groups of two, with each group consisting of a female and a male student. Both the group members obtain the same score in the project.

The following additional facts are known about the scores in the project and the test.
1. The minimum, maximum and the average of both project and test scores were identical – 40, 80 and 60, respectively.
2. The test scores of the students were all multiples of 10; four of them were distinct and the remaining two were equal to the average test scores.
3. Amala’s score in the project was double that of Koli in the same, but Koli scored 20 more than Amala in the test. Yet Amala had the highest aggregate score.
4. Shyamal scored the second highest in the test. He scored two more than Koli, but two less than Amala in the aggregate.
5. Biman scored the second lowest in the test and the lowest in the aggregate.
6. Mathew scored more than Rini in the project, but less than her in the test.
Q16CAT 2023 Slot 3 DILR
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What was Rini’s score in the project?
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Q17CAT 2023 Slot 3 DILR
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What was the weight of the test component?
Q18CAT 2023 Slot 3 DILR
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What was the maximum aggregate score obtained by the students?
Q19CAT 2023 Slot 3 DILR
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What was Mathew’s score in the test?
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Q20CAT 2023 Slot 3 DILR
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Which of the following pairs of students were part of the same project team?

i) Amala and Biman
ii) Koli and Mathew

About CAT 2023 Slot 3 DILR

The DILR section of CAT 2023 Slot 3 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 3 DILR

CAT 2023 Slot 3 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 3 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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