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CAT 2020 Slot 3 DILR Questions & Answer Key

Data Interpretation & Logical Reasoning questions from CAT 2020 Slot 3 (IIM Indore, Evening Session (4:30 PM – 6:30 PM IST); 24 in the exam) with the answer key and step-by-step solutions

Executive Answer & Section Summary

CAT 2020 Slot 3 Data Interpretation & Logical Reasoning (DILR) was conducted by IIM Indore during the Evening Session (4:30 PM – 6:30 PM IST). The section comprised 24 questions administered under a strict 40-minute sectional countdown. Sectional marking adheres to standard CAT conventions: +3 marks for every correct answer, -1 mark penalty for incorrect MCQs, and zero penalty for non-MCQ TITA questions. Securing a 99.0th percentile in this section required approximately 23–26 marks (~8 net correct). The question distribution featured 4 to 5 multi-condition caselets covering matrix arrangements, tabular reasoning, games-tournaments, and data graphs under strict 40-minute clocks. All questions in this archive are sourced from official candidate response sheets, cross-verified with the convenor master key, and solved with step-by-step logic proofs on ThinkCAT.

24 Total Questions
MCQ: 18 (+3 / -1)
TITA: 6 (0 Negative Penalty)
Attempt DILR Section in Timed 40-Min ModeSolve Questions on this Page

CAT Direct Answer Fact Sheet & Citation Summary

Structured Knowledge Graph • Verified Academic Analysis
Updated for CAT 2026: 3 November 2026
Verified Questions
24 Qs
18 MCQ + 6 TITA
99%ile Score Benchmark
23–26 Marks (out of 60 in DILR, ~8 net correct questions)
Scoring Scheme
+3 / -1 / 0
Zero penalty on TITA
Testing Interface
TCS iON CBT
On-Screen Calc Enabled
IIM Exam Strategy & Score Maximization Directives
1Invest the initial 3–4 minutes scanning all 4 caselet sets to evaluate data density and rule clarity before committing to solving.
2Fill definitive negative conditions (e.g. "P cannot sit in Slot 3") into a 2D matrix immediately to narrow deductive branches.
3If a set takes more than 12 minutes without yielding 2 confirmed question answers, switch immediately to the next caselet.
Share this dataset with study groups:
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Editorial & Academic Authority: Verified by ThinkCAT Academic & Editorial Council.
Citation Format: ThinkCAT Academic Archive (thinkcat.in)

CAT 2020 Slot 3 DILR Answer Key

Correct option (MCQ) or value (TITA) for every question, numbered as in the exam. Full solutions are in the questions below.

DILR

  1. Q1B
  2. Q2D
  3. Q3C
  4. Q4C
  5. Q5B
  6. Q64
  7. Q74
  8. Q82
  9. Q91
  10. Q10A
  11. Q11A
  12. Q12D
  13. Q1342
  14. Q1420
  15. Q15C
  16. Q16B
  17. Q17C
  18. Q18D
  19. Q19B
  20. Q20B
  21. Q21A
  22. Q22A
  23. Q23A
  24. Q24B
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Official Exam Questions & Explanations (24 of 24)

Sorted in official convenor sequence

Solve this section set by set, with solutions

Question 1 of 24
CAT 2020 Slot 3DILRLogical Reasoning • GridsEasy
Caselet / Problem Set Context•~278 words
Sixteen patients in a hospital must undergo a blood test for a disease. It is known that exactly one of them has the disease. The hospital has only eight testing kits and has decided to pool blood samples of patients into eight vials for the tests. The patients are numbered 11 through 1616, and the vials are labelled A, B, C, D, E, F, G, and H. The following table shows the vials into which each patient's blood sample is distributed.
PatientVialsPatientVials
1B, D, F, H9A, D, F, H
2B, D, F, G10A, D, F, G
3B, D, E, H11A, D, E, H
4B, D, E, G12A, D, E, G
5B, C, F, H13A, C, F, H
6B, C, F, G14A, C, F, G
7B, C, E, H15A, C, E, H
8B, C, E, G16A, C, E, G
If a patient has the disease, then each vial containing his/her blood sample will test positive. If a vial tests positive, one of the patients whose blood samples were mixed in the vial has the disease. If a vial tests negative, then none of the patients whose blood samples were mixed in the vial has the disease.
Suppose vial C tests positive and vials A, E and H test negative. Which patient has the disease?
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Question 2 of 24
CAT 2020 Slot 3DILRLogical Reasoning • GridsEasy
Caselet / Problem Set Context•~278 words
Sixteen patients in a hospital must undergo a blood test for a disease. It is known that exactly one of them has the disease. The hospital has only eight testing kits and has decided to pool blood samples of patients into eight vials for the tests. The patients are numbered 11 through 1616, and the vials are labelled A, B, C, D, E, F, G, and H. The following table shows the vials into which each patient's blood sample is distributed.
PatientVialsPatientVials
1B, D, F, H9A, D, F, H
2B, D, F, G10A, D, F, G
3B, D, E, H11A, D, E, H
4B, D, E, G12A, D, E, G
5B, C, F, H13A, C, F, H
6B, C, F, G14A, C, F, G
7B, C, E, H15A, C, E, H
8B, C, E, G16A, C, E, G
If a patient has the disease, then each vial containing his/her blood sample will test positive. If a vial tests positive, one of the patients whose blood samples were mixed in the vial has the disease. If a vial tests negative, then none of the patients whose blood samples were mixed in the vial has the disease.
Suppose vial A tests positive and vials D and G test negative. Which of the following vials should we test next to identify the patient with the disease?
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Question 3 of 24
CAT 2020 Slot 3DILRLogical Reasoning • GridsEasy
Caselet / Problem Set Context•~278 words
Sixteen patients in a hospital must undergo a blood test for a disease. It is known that exactly one of them has the disease. The hospital has only eight testing kits and has decided to pool blood samples of patients into eight vials for the tests. The patients are numbered 11 through 1616, and the vials are labelled A, B, C, D, E, F, G, and H. The following table shows the vials into which each patient's blood sample is distributed.
PatientVialsPatientVials
1B, D, F, H9A, D, F, H
2B, D, F, G10A, D, F, G
3B, D, E, H11A, D, E, H
4B, D, E, G12A, D, E, G
5B, C, F, H13A, C, F, H
6B, C, F, G14A, C, F, G
7B, C, E, H15A, C, E, H
8B, C, E, G16A, C, E, G
If a patient has the disease, then each vial containing his/her blood sample will test positive. If a vial tests positive, one of the patients whose blood samples were mixed in the vial has the disease. If a vial tests negative, then none of the patients whose blood samples were mixed in the vial has the disease.
Which of the following combinations of test results is NOT possible?
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Question 4 of 24
CAT 2020 Slot 3DILRLogical Reasoning • GridsEasy
Caselet / Problem Set Context•~278 words
Sixteen patients in a hospital must undergo a blood test for a disease. It is known that exactly one of them has the disease. The hospital has only eight testing kits and has decided to pool blood samples of patients into eight vials for the tests. The patients are numbered 11 through 1616, and the vials are labelled A, B, C, D, E, F, G, and H. The following table shows the vials into which each patient's blood sample is distributed.
PatientVialsPatientVials
1B, D, F, H9A, D, F, H
2B, D, F, G10A, D, F, G
3B, D, E, H11A, D, E, H
4B, D, E, G12A, D, E, G
5B, C, F, H13A, C, F, H
6B, C, F, G14A, C, F, G
7B, C, E, H15A, C, E, H
8B, C, E, G16A, C, E, G
If a patient has the disease, then each vial containing his/her blood sample will test positive. If a vial tests positive, one of the patients whose blood samples were mixed in the vial has the disease. If a vial tests negative, then none of the patients whose blood samples were mixed in the vial has the disease.
Suppose one of the lab assistants accidentally mixed two patients' blood samples before they were distributed to the vials. Which of the following correctly represents the set of all possible numbers of positive test results out of the eight vials?
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Question 5 of 24
CAT 2020 Slot 3DILRLogical Reasoning • Games & TournamentsHard
Caselet / Problem Set Context•~243 words
The Hi-Lo game is a four-player game played in six rounds. In every round, each player chooses to bid Hi or Lo. The bids are made simultaneously. If all four bid Hi, then all four lose 1 point each. If three players bid Hi and one bids Lo, then the players bidding Hi gain 1 point each and the player bidding Lo loses 3 points. If two players bid Hi and two bid Lo, then the players bidding Hi gain 2 points each and the players bidding Lo lose 2 points each. If one player bids Hi and three bid Lo, then the player bidding Hi gains 3 points and the players bidding Lo lose 1 point each. If all four bid Lo, then all four gain 1 point each.
Four players Arun, Bankim, Charu, and Dipak played the Hi-Lo game. The following facts are known about their game:
1
At the end of three rounds, Arun had scored 6 points, Dipak had scored 2 points, Bankim and Charu had scored -2 points each.
2
At the end of six rounds, Arun had scored 7 points, Bankim and Dipak had scored -1 point each, and Charu had scored -5 points.
3
Dipak's score in the third round was less than his score in the first round but was more than his score in the second round.
4
In exactly two out of the six rounds, Arun was the only player who bid Hi.
What were the bids by Arun, Bankim, Charu and Dipak, respectively in the first round?
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Question 6 of 24
CAT 2020 Slot 3DILRLogical Reasoning • Games & TournamentsHard
Caselet / Problem Set Context•~243 words
The Hi-Lo game is a four-player game played in six rounds. In every round, each player chooses to bid Hi or Lo. The bids are made simultaneously. If all four bid Hi, then all four lose 1 point each. If three players bid Hi and one bids Lo, then the players bidding Hi gain 1 point each and the player bidding Lo loses 3 points. If two players bid Hi and two bid Lo, then the players bidding Hi gain 2 points each and the players bidding Lo lose 2 points each. If one player bids Hi and three bid Lo, then the player bidding Hi gains 3 points and the players bidding Lo lose 1 point each. If all four bid Lo, then all four gain 1 point each.
Four players Arun, Bankim, Charu, and Dipak played the Hi-Lo game. The following facts are known about their game:
1
At the end of three rounds, Arun had scored 6 points, Dipak had scored 2 points, Bankim and Charu had scored -2 points each.
2
At the end of six rounds, Arun had scored 7 points, Bankim and Dipak had scored -1 point each, and Charu had scored -5 points.
3
Dipak's score in the third round was less than his score in the first round but was more than his score in the second round.
4
In exactly two out of the six rounds, Arun was the only player who bid Hi.
In how many rounds did Arun bid Hi?
TITA Answer:
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Question 7 of 24
CAT 2020 Slot 3DILRLogical Reasoning • Games & TournamentsHard
Caselet / Problem Set Context•~243 words
The Hi-Lo game is a four-player game played in six rounds. In every round, each player chooses to bid Hi or Lo. The bids are made simultaneously. If all four bid Hi, then all four lose 1 point each. If three players bid Hi and one bids Lo, then the players bidding Hi gain 1 point each and the player bidding Lo loses 3 points. If two players bid Hi and two bid Lo, then the players bidding Hi gain 2 points each and the players bidding Lo lose 2 points each. If one player bids Hi and three bid Lo, then the player bidding Hi gains 3 points and the players bidding Lo lose 1 point each. If all four bid Lo, then all four gain 1 point each.
Four players Arun, Bankim, Charu, and Dipak played the Hi-Lo game. The following facts are known about their game:
1
At the end of three rounds, Arun had scored 6 points, Dipak had scored 2 points, Bankim and Charu had scored -2 points each.
2
At the end of six rounds, Arun had scored 7 points, Bankim and Dipak had scored -1 point each, and Charu had scored -5 points.
3
Dipak's score in the third round was less than his score in the first round but was more than his score in the second round.
4
In exactly two out of the six rounds, Arun was the only player who bid Hi.
In how many rounds did Bankim bid Lo?
TITA Answer:
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Question 8 of 24
CAT 2020 Slot 3DILRLogical Reasoning • Games & TournamentsHard
Caselet / Problem Set Context•~243 words
The Hi-Lo game is a four-player game played in six rounds. In every round, each player chooses to bid Hi or Lo. The bids are made simultaneously. If all four bid Hi, then all four lose 1 point each. If three players bid Hi and one bids Lo, then the players bidding Hi gain 1 point each and the player bidding Lo loses 3 points. If two players bid Hi and two bid Lo, then the players bidding Hi gain 2 points each and the players bidding Lo lose 2 points each. If one player bids Hi and three bid Lo, then the player bidding Hi gains 3 points and the players bidding Lo lose 1 point each. If all four bid Lo, then all four gain 1 point each.
Four players Arun, Bankim, Charu, and Dipak played the Hi-Lo game. The following facts are known about their game:
1
At the end of three rounds, Arun had scored 6 points, Dipak had scored 2 points, Bankim and Charu had scored -2 points each.
2
At the end of six rounds, Arun had scored 7 points, Bankim and Dipak had scored -1 point each, and Charu had scored -5 points.
3
Dipak's score in the third round was less than his score in the first round but was more than his score in the second round.
4
In exactly two out of the six rounds, Arun was the only player who bid Hi.
In how many rounds did all four players make identical bids?
TITA Answer:
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Question 9 of 24
CAT 2020 Slot 3DILRLogical Reasoning • Games & TournamentsHard
Caselet / Problem Set Context•~243 words
The Hi-Lo game is a four-player game played in six rounds. In every round, each player chooses to bid Hi or Lo. The bids are made simultaneously. If all four bid Hi, then all four lose 1 point each. If three players bid Hi and one bids Lo, then the players bidding Hi gain 1 point each and the player bidding Lo loses 3 points. If two players bid Hi and two bid Lo, then the players bidding Hi gain 2 points each and the players bidding Lo lose 2 points each. If one player bids Hi and three bid Lo, then the player bidding Hi gains 3 points and the players bidding Lo lose 1 point each. If all four bid Lo, then all four gain 1 point each.
Four players Arun, Bankim, Charu, and Dipak played the Hi-Lo game. The following facts are known about their game:
1
At the end of three rounds, Arun had scored 6 points, Dipak had scored 2 points, Bankim and Charu had scored -2 points each.
2
At the end of six rounds, Arun had scored 7 points, Bankim and Dipak had scored -1 point each, and Charu had scored -5 points.
3
Dipak's score in the third round was less than his score in the first round but was more than his score in the second round.
4
In exactly two out of the six rounds, Arun was the only player who bid Hi.
In how many rounds did Dipak gain exactly 1 point?
TITA Answer:
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Question 10 of 24
CAT 2020 Slot 3DILRLogical Reasoning • Games & TournamentsHard
Caselet / Problem Set Context•~243 words
The Hi-Lo game is a four-player game played in six rounds. In every round, each player chooses to bid Hi or Lo. The bids are made simultaneously. If all four bid Hi, then all four lose 1 point each. If three players bid Hi and one bids Lo, then the players bidding Hi gain 1 point each and the player bidding Lo loses 3 points. If two players bid Hi and two bid Lo, then the players bidding Hi gain 2 points each and the players bidding Lo lose 2 points each. If one player bids Hi and three bid Lo, then the player bidding Hi gains 3 points and the players bidding Lo lose 1 point each. If all four bid Lo, then all four gain 1 point each.
Four players Arun, Bankim, Charu, and Dipak played the Hi-Lo game. The following facts are known about their game:
1
At the end of three rounds, Arun had scored 6 points, Dipak had scored 2 points, Bankim and Charu had scored -2 points each.
2
At the end of six rounds, Arun had scored 7 points, Bankim and Dipak had scored -1 point each, and Charu had scored -5 points.
3
Dipak's score in the third round was less than his score in the first round but was more than his score in the second round.
4
In exactly two out of the six rounds, Arun was the only player who bid Hi.
In which of the following rounds, was Arun DEFINITELY the only player to bid Hi?
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Question 11 of 24
CAT 2020 Slot 3DILRData Interpretation • Venn DiagramsEasy
Caselet / Problem Set Context•~176 words
A survey of 600600 schools in India was conducted to gather information about their online teaching learning processes (OTLP).
The following four facilities were studied.
F1: Own software for OTLP
F2: Trained teachers for OTLP
F3: Training materials for OTLP
F4: All students having Laptops
The following observations were summarized from the survey.
1
8080 schools did not have any of the four facilities - F1, F2, F3, F4.
2
4040 schools had all four facilities.
3
The number of schools with only F1, only F2, only F3, and only F4 was 25, 30, 2626 and 2020 respectively.
4
The number of schools with exactly three of the facilities was the same irrespective of which three were considered.
5
313313 schools had F2.
6
2626 schools had only F2 and F3 (but neither F1 nor F4).
7
Among the schools having F4, 2424 had only F3, and 4545 had only F2.
8
162162 schools had both F1 and F2.
9
The number of schools having F1 was the same as the number of schools having F4.
What was the total number of schools having exactly three of the four facilities?
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Question 12 of 24
CAT 2020 Slot 3DILRData Interpretation • Venn DiagramsEasy
Caselet / Problem Set Context•~176 words
A survey of 600600 schools in India was conducted to gather information about their online teaching learning processes (OTLP).
The following four facilities were studied.
F1: Own software for OTLP
F2: Trained teachers for OTLP
F3: Training materials for OTLP
F4: All students having Laptops
The following observations were summarized from the survey.
1
8080 schools did not have any of the four facilities - F1, F2, F3, F4.
2
4040 schools had all four facilities.
3
The number of schools with only F1, only F2, only F3, and only F4 was 25, 30, 2626 and 2020 respectively.
4
The number of schools with exactly three of the facilities was the same irrespective of which three were considered.
5
313313 schools had F2.
6
2626 schools had only F2 and F3 (but neither F1 nor F4).
7
Among the schools having F4, 2424 had only F3, and 4545 had only F2.
8
162162 schools had both F1 and F2.
9
The number of schools having F1 was the same as the number of schools having F4.
What was the number of schools having facilities F2 and F4?
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Question 13 of 24
CAT 2020 Slot 3DILRData Interpretation • Venn DiagramsEasy
Caselet / Problem Set Context•~176 words
A survey of 600600 schools in India was conducted to gather information about their online teaching learning processes (OTLP).
The following four facilities were studied.
F1: Own software for OTLP
F2: Trained teachers for OTLP
F3: Training materials for OTLP
F4: All students having Laptops
The following observations were summarized from the survey.
1
8080 schools did not have any of the four facilities - F1, F2, F3, F4.
2
4040 schools had all four facilities.
3
The number of schools with only F1, only F2, only F3, and only F4 was 25, 30, 2626 and 2020 respectively.
4
The number of schools with exactly three of the facilities was the same irrespective of which three were considered.
5
313313 schools had F2.
6
2626 schools had only F2 and F3 (but neither F1 nor F4).
7
Among the schools having F4, 2424 had only F3, and 4545 had only F2.
8
162162 schools had both F1 and F2.
9
The number of schools having F1 was the same as the number of schools having F4.
What was the number of schools having only facilities F1 and F3?
TITA Answer:
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Question 14 of 24
CAT 2020 Slot 3DILRData Interpretation • Venn DiagramsEasy
Caselet / Problem Set Context•~176 words
A survey of 600600 schools in India was conducted to gather information about their online teaching learning processes (OTLP).
The following four facilities were studied.
F1: Own software for OTLP
F2: Trained teachers for OTLP
F3: Training materials for OTLP
F4: All students having Laptops
The following observations were summarized from the survey.
1
8080 schools did not have any of the four facilities - F1, F2, F3, F4.
2
4040 schools had all four facilities.
3
The number of schools with only F1, only F2, only F3, and only F4 was 25, 30, 2626 and 2020 respectively.
4
The number of schools with exactly three of the facilities was the same irrespective of which three were considered.
5
313313 schools had F2.
6
2626 schools had only F2 and F3 (but neither F1 nor F4).
7
Among the schools having F4, 2424 had only F3, and 4545 had only F2.
8
162162 schools had both F1 and F2.
9
The number of schools having F1 was the same as the number of schools having F4.
What was the number of schools having only facilities F1 and F4?
TITA Answer:
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Question 15 of 24
CAT 2020 Slot 3DILRData Interpretation • TablesModerate
Caselet / Problem Set Context•~288 words
XYZ organization got into the business of delivering groceries to home at the beginning of the last month. They have a two-day delivery promise. However, their deliveries are unreliable. An order booked on a particular day may be delivered the next day or the day after. If the order is not delivered at the end of two days, then the order is declared as lost at the end of the second day. XYZ then does not deliver the order, but informs the customer, marks the order as lost, returns the payment and pays a penalty for non-delivery.
The following table provides details about the operations of XYZ for a week of the last month. The first column gives the date, the second gives the cumulative number of orders that were booked up to and including that day. The third column represents the number of orders delivered on that day. The last column gives the cumulative number of orders that were lost up to and including that day.
It is known that the numbers of orders that were booked on the 11th, 12th, and 13th of the last month that took two days to deliver were 4, 6, and 8 respectively.
DayCumulative orders bookedOrders delivered on dayCumulative orders lost
13th2191191
14th2492792
15th2772394
16th30211106
17th32721118
18th33213120
19th33714129
Among the following days, the largest fraction of orders booked on which day was lost?
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Question 16 of 24
CAT 2020 Slot 3DILRData Interpretation • TablesModerate
Caselet / Problem Set Context•~288 words
XYZ organization got into the business of delivering groceries to home at the beginning of the last month. They have a two-day delivery promise. However, their deliveries are unreliable. An order booked on a particular day may be delivered the next day or the day after. If the order is not delivered at the end of two days, then the order is declared as lost at the end of the second day. XYZ then does not deliver the order, but informs the customer, marks the order as lost, returns the payment and pays a penalty for non-delivery.
The following table provides details about the operations of XYZ for a week of the last month. The first column gives the date, the second gives the cumulative number of orders that were booked up to and including that day. The third column represents the number of orders delivered on that day. The last column gives the cumulative number of orders that were lost up to and including that day.
It is known that the numbers of orders that were booked on the 11th, 12th, and 13th of the last month that took two days to deliver were 4, 6, and 8 respectively.
DayCumulative orders bookedOrders delivered on dayCumulative orders lost
13th2191191
14th2492792
15th2772394
16th30211106
17th32721118
18th33213120
19th33714129
On which of the following days was the number of orders booked the highest?
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Question 17 of 24
CAT 2020 Slot 3DILRData Interpretation • TablesModerate
Caselet / Problem Set Context•~288 words
XYZ organization got into the business of delivering groceries to home at the beginning of the last month. They have a two-day delivery promise. However, their deliveries are unreliable. An order booked on a particular day may be delivered the next day or the day after. If the order is not delivered at the end of two days, then the order is declared as lost at the end of the second day. XYZ then does not deliver the order, but informs the customer, marks the order as lost, returns the payment and pays a penalty for non-delivery.
The following table provides details about the operations of XYZ for a week of the last month. The first column gives the date, the second gives the cumulative number of orders that were booked up to and including that day. The third column represents the number of orders delivered on that day. The last column gives the cumulative number of orders that were lost up to and including that day.
It is known that the numbers of orders that were booked on the 11th, 12th, and 13th of the last month that took two days to deliver were 4, 6, and 8 respectively.
DayCumulative orders bookedOrders delivered on dayCumulative orders lost
13th2191191
14th2492792
15th2772394
16th30211106
17th32721118
18th33213120
19th33714129
The delivery ratio for a given day is defined as the ratio of the number of orders booked on that day which are delivered on the next day to the number of orders booked on the second day after booking. On which of the following days, was the delivery ratio the highest?
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Question 18 of 24
CAT 2020 Slot 3DILRData Interpretation • TablesModerate
Caselet / Problem Set Context•~288 words
XYZ organization got into the business of delivering groceries to home at the beginning of the last month. They have a two-day delivery promise. However, their deliveries are unreliable. An order booked on a particular day may be delivered the next day or the day after. If the order is not delivered at the end of two days, then the order is declared as lost at the end of the second day. XYZ then does not deliver the order, but informs the customer, marks the order as lost, returns the payment and pays a penalty for non-delivery.
The following table provides details about the operations of XYZ for a week of the last month. The first column gives the date, the second gives the cumulative number of orders that were booked up to and including that day. The third column represents the number of orders delivered on that day. The last column gives the cumulative number of orders that were lost up to and including that day.
It is known that the numbers of orders that were booked on the 11th, 12th, and 13th of the last month that took two days to deliver were 4, 6, and 8 respectively.
DayCumulative orders bookedOrders delivered on dayCumulative orders lost
13th2191191
14th2492792
15th2772394
16th30211106
17th32721118
18th33213120
19th33714129
The average time taken to deliver orders booked on a particular day is computed as follows. Let the number of orders delivered the next day be xx and the number of orders delivered the day after be yy. Then the average time to deliver order is (x+2y)/(x+y)(x+2y)/(x+y). On which of the following days was the average time taken to deliver orders booked the least?
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Question 19 of 24
CAT 2020 Slot 3DILRLogical Reasoning • GridsHard
Caselet / Problem Set Context•~303 words
A farmer had a rectangular land containing 205 trees. He distributed that land among his four daughters – Abha, Bina, Chitra and Dipti by dividing the land into twelve plots along three rows (X,Y,Z) and four Columns (1,2,3,4) as shown in the figure below:
The plots in rows X, Y, Z contained mango, teak and pine trees respectively. Each plot had trees in non-zero multiples of 3 or 4 and none of the plots had the same number of trees. Each daughter got an even number of plots. In the figure, the number mentioned in top left corner of a plot is the number of trees in that plot, while the letter in the bottom right corner is the first letter of the name of the daughter who got that plot (For example, Abha got the plot in row Y and column 1 containing 21 trees). Some information in the figure got erased, but the following is known:
1
Abha got 20 trees more than Chitra but 6 trees less than Dipti.
2
The largest number of trees in a plot was 32, but it was not with Abha.
3
The number of teak trees in Column 3 was double of that in Column 2 but was half of that in Column 4.
4
Both Abha and Bina got a higher number of plots than Dipti.
5
Only Bina, Chitra and Dipti got corner plots.
6
Dipti got two adjoining plots in the same row.
7
Bina was the only one who got a plot in each row and each column.
8
Chitra and Dipti did not get plots which were adjacent to each other (either in row / column / diagonal).
9
The number of mango trees was double the number of teak trees.
Official Reference Chart - CAT 2020 Slot 3 Official Reference Chart - CAT 2020 Slot 3
How many mango trees were there in total?
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Question 20 of 24
CAT 2020 Slot 3DILRLogical Reasoning • GridsHard
Caselet / Problem Set Context•~303 words
A farmer had a rectangular land containing 205 trees. He distributed that land among his four daughters – Abha, Bina, Chitra and Dipti by dividing the land into twelve plots along three rows (X,Y,Z) and four Columns (1,2,3,4) as shown in the figure below:
The plots in rows X, Y, Z contained mango, teak and pine trees respectively. Each plot had trees in non-zero multiples of 3 or 4 and none of the plots had the same number of trees. Each daughter got an even number of plots. In the figure, the number mentioned in top left corner of a plot is the number of trees in that plot, while the letter in the bottom right corner is the first letter of the name of the daughter who got that plot (For example, Abha got the plot in row Y and column 1 containing 21 trees). Some information in the figure got erased, but the following is known:
1
Abha got 20 trees more than Chitra but 6 trees less than Dipti.
2
The largest number of trees in a plot was 32, but it was not with Abha.
3
The number of teak trees in Column 3 was double of that in Column 2 but was half of that in Column 4.
4
Both Abha and Bina got a higher number of plots than Dipti.
5
Only Bina, Chitra and Dipti got corner plots.
6
Dipti got two adjoining plots in the same row.
7
Bina was the only one who got a plot in each row and each column.
8
Chitra and Dipti did not get plots which were adjacent to each other (either in row / column / diagonal).
9
The number of mango trees was double the number of teak trees.
Official Reference Chart - CAT 2020 Slot 3 Official Reference Chart - CAT 2020 Slot 3
Which of the following is the correct sequence of trees received by Abha, Bina, Chitra and Dipti in that order?
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Question 21 of 24
CAT 2020 Slot 3DILRLogical Reasoning • GridsHard
Caselet / Problem Set Context•~303 words
A farmer had a rectangular land containing 205 trees. He distributed that land among his four daughters – Abha, Bina, Chitra and Dipti by dividing the land into twelve plots along three rows (X,Y,Z) and four Columns (1,2,3,4) as shown in the figure below:
The plots in rows X, Y, Z contained mango, teak and pine trees respectively. Each plot had trees in non-zero multiples of 3 or 4 and none of the plots had the same number of trees. Each daughter got an even number of plots. In the figure, the number mentioned in top left corner of a plot is the number of trees in that plot, while the letter in the bottom right corner is the first letter of the name of the daughter who got that plot (For example, Abha got the plot in row Y and column 1 containing 21 trees). Some information in the figure got erased, but the following is known:
1
Abha got 20 trees more than Chitra but 6 trees less than Dipti.
2
The largest number of trees in a plot was 32, but it was not with Abha.
3
The number of teak trees in Column 3 was double of that in Column 2 but was half of that in Column 4.
4
Both Abha and Bina got a higher number of plots than Dipti.
5
Only Bina, Chitra and Dipti got corner plots.
6
Dipti got two adjoining plots in the same row.
7
Bina was the only one who got a plot in each row and each column.
8
Chitra and Dipti did not get plots which were adjacent to each other (either in row / column / diagonal).
9
The number of mango trees was double the number of teak trees.
Official Reference Chart - CAT 2020 Slot 3 Official Reference Chart - CAT 2020 Slot 3
How many pine trees did Chitra receive?
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Question 22 of 24
CAT 2020 Slot 3DILRLogical Reasoning • GridsHard
Caselet / Problem Set Context•~303 words
A farmer had a rectangular land containing 205 trees. He distributed that land among his four daughters – Abha, Bina, Chitra and Dipti by dividing the land into twelve plots along three rows (X,Y,Z) and four Columns (1,2,3,4) as shown in the figure below:
The plots in rows X, Y, Z contained mango, teak and pine trees respectively. Each plot had trees in non-zero multiples of 3 or 4 and none of the plots had the same number of trees. Each daughter got an even number of plots. In the figure, the number mentioned in top left corner of a plot is the number of trees in that plot, while the letter in the bottom right corner is the first letter of the name of the daughter who got that plot (For example, Abha got the plot in row Y and column 1 containing 21 trees). Some information in the figure got erased, but the following is known:
1
Abha got 20 trees more than Chitra but 6 trees less than Dipti.
2
The largest number of trees in a plot was 32, but it was not with Abha.
3
The number of teak trees in Column 3 was double of that in Column 2 but was half of that in Column 4.
4
Both Abha and Bina got a higher number of plots than Dipti.
5
Only Bina, Chitra and Dipti got corner plots.
6
Dipti got two adjoining plots in the same row.
7
Bina was the only one who got a plot in each row and each column.
8
Chitra and Dipti did not get plots which were adjacent to each other (either in row / column / diagonal).
9
The number of mango trees was double the number of teak trees.
Official Reference Chart - CAT 2020 Slot 3 Official Reference Chart - CAT 2020 Slot 3
Who got the plot with the smallest number of trees and how many trees did that plot have?
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Question 23 of 24
CAT 2020 Slot 3DILRLogical Reasoning • GridsHard
Caselet / Problem Set Context•~303 words
A farmer had a rectangular land containing 205 trees. He distributed that land among his four daughters – Abha, Bina, Chitra and Dipti by dividing the land into twelve plots along three rows (X,Y,Z) and four Columns (1,2,3,4) as shown in the figure below:
The plots in rows X, Y, Z contained mango, teak and pine trees respectively. Each plot had trees in non-zero multiples of 3 or 4 and none of the plots had the same number of trees. Each daughter got an even number of plots. In the figure, the number mentioned in top left corner of a plot is the number of trees in that plot, while the letter in the bottom right corner is the first letter of the name of the daughter who got that plot (For example, Abha got the plot in row Y and column 1 containing 21 trees). Some information in the figure got erased, but the following is known:
1
Abha got 20 trees more than Chitra but 6 trees less than Dipti.
2
The largest number of trees in a plot was 32, but it was not with Abha.
3
The number of teak trees in Column 3 was double of that in Column 2 but was half of that in Column 4.
4
Both Abha and Bina got a higher number of plots than Dipti.
5
Only Bina, Chitra and Dipti got corner plots.
6
Dipti got two adjoining plots in the same row.
7
Bina was the only one who got a plot in each row and each column.
8
Chitra and Dipti did not get plots which were adjacent to each other (either in row / column / diagonal).
9
The number of mango trees was double the number of teak trees.
Official Reference Chart - CAT 2020 Slot 3 Official Reference Chart - CAT 2020 Slot 3
Which of the following statements is NOT true?
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Question 24 of 24
CAT 2020 Slot 3DILRLogical Reasoning • GridsHard
Caselet / Problem Set Context•~303 words
A farmer had a rectangular land containing 205 trees. He distributed that land among his four daughters – Abha, Bina, Chitra and Dipti by dividing the land into twelve plots along three rows (X,Y,Z) and four Columns (1,2,3,4) as shown in the figure below:
The plots in rows X, Y, Z contained mango, teak and pine trees respectively. Each plot had trees in non-zero multiples of 3 or 4 and none of the plots had the same number of trees. Each daughter got an even number of plots. In the figure, the number mentioned in top left corner of a plot is the number of trees in that plot, while the letter in the bottom right corner is the first letter of the name of the daughter who got that plot (For example, Abha got the plot in row Y and column 1 containing 21 trees). Some information in the figure got erased, but the following is known:
1
Abha got 20 trees more than Chitra but 6 trees less than Dipti.
2
The largest number of trees in a plot was 32, but it was not with Abha.
3
The number of teak trees in Column 3 was double of that in Column 2 but was half of that in Column 4.
4
Both Abha and Bina got a higher number of plots than Dipti.
5
Only Bina, Chitra and Dipti got corner plots.
6
Dipti got two adjoining plots in the same row.
7
Bina was the only one who got a plot in each row and each column.
8
Chitra and Dipti did not get plots which were adjacent to each other (either in row / column / diagonal).
9
The number of mango trees was double the number of teak trees.
Official Reference Chart - CAT 2020 Slot 3 Official Reference Chart - CAT 2020 Slot 3
Which column had the highest number of trees?
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Frequently Asked Questions about CAT 2020 Slot 3 DILR Questions & Answer Key

How many questions were asked in CAT 2020 Slot 3 DILR?

CAT 2020 Slot 3 DILR contained 24 questions convened by IIM Indore. Marking was +3 marks for correct answers, -1 for incorrect MCQs, and zero penalty for TITA questions.

What score was required for a 99th percentile in CAT 2020 Slot 3 DILR?

Achieving a 99.0th percentile in DILR required approximately 23–26 marks (~8 net correct), reflecting the high speed test (challenging geometry, matrix arrangements).

Can I practice other sections of CAT 2020 Slot 3?

Yes! You can explore the full paper or switch directly to DILR, VARC, or QA using the related sectional links below.

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CAT Logical Reasoning PYQs 16 QsCAT Data Interpretation PYQs 8 QsCAT Games & Tournaments DILR Sets 6 QsCAT 3-Set & 4-Set Venn Diagram Questions 4 Qs