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CAT 2024 Slot 2 DILR Questions & Answer Key

Data Interpretation & Logical Reasoning questions from CAT 2024 Slot 2 (IIM Calcutta, Afternoon Session (12:30 PM – 2:30 PM IST); 22 in the exam) with the answer key and step-by-step solutions

Executive Answer & Section Summary

CAT 2024 Slot 2 Data Interpretation & Logical Reasoning (DILR) was conducted by IIM Calcutta during the Afternoon Session (12:30 PM – 2:30 PM IST). The section comprised 22 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.

22 Total Questions
MCQ: 12 (+3 / -1)
TITA: 10 (0 Negative Penalty)

CAT Direct Answer Fact Sheet & Citation Summary

Structured Knowledge Graph • Verified Academic Analysis
Updated for CAT 2026: 1 November 2026
Verified Questions
22 Qs
12 MCQ + 10 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:
Editorial & Academic Authority: Verified by ThinkCAT Academic & Editorial Council.
Citation Format: ThinkCAT Academic Archive (thinkcat.in)

CAT 2024 Slot 2 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. Q14
  2. Q2B
  3. Q3A
  4. Q42
  5. Q526
  6. Q6A
  7. Q7D
  8. Q85100
  9. Q93500
  10. Q10150
  11. Q11A
  12. Q124
  13. Q13D
  14. Q14A
  15. Q15B
  16. Q16A
  17. Q17B
  18. Q18A
  19. Q194
  20. Q205
  21. Q216
  22. Q22C
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Official Exam Questions & Explanations (22 of 22)

Sorted in official convenor sequence
Question 1 of 22
CAT 2024 Slot 2DILRLogical Reasoning • ArrangementsHard
Caselet / Problem Set Context•~125 words
The numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 are placed in ten slots of the following grid based on the conditions below.
1
Numbers in any row appear in an increasing order from left to right.
2
Numbers in any column appear in a decreasing order from top to bottom.
3
1 is placed either in the same row or in the same column as 10.
4
Neither 2 nor 3 is placed in the same row or in the same column as 10.
5
Neither 7 nor 8 is placed in the same row or in the same column as 9.
6
4 and 6 are placed in the same row.
Official Reference Chart - CAT 2024 Slot 2 Official Reference Chart - CAT 2024 Slot 2
What is the row number which has the least sum of numbers placed in that row?
TITA Answer:
Question 2 of 22
CAT 2024 Slot 2DILRLogical Reasoning • ArrangementsHard
Caselet / Problem Set Context•~125 words
The numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 are placed in ten slots of the following grid based on the conditions below.
1
Numbers in any row appear in an increasing order from left to right.
2
Numbers in any column appear in a decreasing order from top to bottom.
3
1 is placed either in the same row or in the same column as 10.
4
Neither 2 nor 3 is placed in the same row or in the same column as 10.
5
Neither 7 nor 8 is placed in the same row or in the same column as 9.
6
4 and 6 are placed in the same row.
Official Reference Chart - CAT 2024 Slot 2 Official Reference Chart - CAT 2024 Slot 2
Which of the following statements MUST be true?
I
10 is placed in a slot in Row
1.
II
1 is placed in a slot in Row 4.
Question 3 of 22
CAT 2024 Slot 2DILRLogical Reasoning • ArrangementsHard
Caselet / Problem Set Context•~125 words
The numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 are placed in ten slots of the following grid based on the conditions below.
1
Numbers in any row appear in an increasing order from left to right.
2
Numbers in any column appear in a decreasing order from top to bottom.
3
1 is placed either in the same row or in the same column as 10.
4
Neither 2 nor 3 is placed in the same row or in the same column as 10.
5
Neither 7 nor 8 is placed in the same row or in the same column as 9.
6
4 and 6 are placed in the same row.
Official Reference Chart - CAT 2024 Slot 2 Official Reference Chart - CAT 2024 Slot 2
Which of the following statements MUST be true?
I
2 is placed in a slot in Column 22.
II
3 is placed in a slot in Column 33.
Question 4 of 22
CAT 2024 Slot 2DILRLogical Reasoning • ArrangementsHard
Caselet / Problem Set Context•~125 words
The numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 are placed in ten slots of the following grid based on the conditions below.
1
Numbers in any row appear in an increasing order from left to right.
2
Numbers in any column appear in a decreasing order from top to bottom.
3
1 is placed either in the same row or in the same column as 10.
4
Neither 2 nor 3 is placed in the same row or in the same column as 10.
5
Neither 7 nor 8 is placed in the same row or in the same column as 9.
6
4 and 6 are placed in the same row.
Official Reference Chart - CAT 2024 Slot 2 Official Reference Chart - CAT 2024 Slot 2
For how many slots in the grid, placement of numbers CANNOT be determined with certainty?
TITA Answer:
Question 5 of 22
CAT 2024 Slot 2DILRLogical Reasoning • ArrangementsHard
Caselet / Problem Set Context•~125 words
The numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 are placed in ten slots of the following grid based on the conditions below.
1
Numbers in any row appear in an increasing order from left to right.
2
Numbers in any column appear in a decreasing order from top to bottom.
3
1 is placed either in the same row or in the same column as 10.
4
Neither 2 nor 3 is placed in the same row or in the same column as 10.
5
Neither 7 nor 8 is placed in the same row or in the same column as 9.
6
4 and 6 are placed in the same row.
Official Reference Chart - CAT 2024 Slot 2 Official Reference Chart - CAT 2024 Slot 2
What is the sum of the numbers placed in Column 4?
TITA Answer:
Question 6 of 22
CAT 2024 Slot 2DILRLogical Reasoning • GridsHard
Caselet / Problem Set Context•~145 words
Official Reference Chart - CAT 2024 Slot 2 Official Reference Chart - CAT 2024 Slot 2
The above is a schematic diagram of walkways (indicated by all the straight lines) and lakes (3 of them, each in the shape of rectangles - shaded in the diagram) of a gated area. Different points on the walkway are indicated by letters (A through P) with distances being OP = 150 m, ON = MN = 300 m, ML = 400 m, EL = 200 m, DE = 400 m.
The following additional information about the facilities in the area is known.
1
The only entry/exit point is at C.
2
There are many residences within the gated area; all of them are located on the path AH and ML with four of them being at A, H, M, and L.
3
The post office is located at P and the bank is located at B.
One resident whose house is located at L, needs to visit the post office as well as the bank. What is the minimum distance (in m) he has to walk starting from his residence and returning to his residence after visiting both the post office and the bank?
Question 7 of 22
CAT 2024 Slot 2DILRLogical Reasoning • GridsHard
Caselet / Problem Set Context•~145 words
Official Reference Chart - CAT 2024 Slot 2 Official Reference Chart - CAT 2024 Slot 2
The above is a schematic diagram of walkways (indicated by all the straight lines) and lakes (3 of them, each in the shape of rectangles - shaded in the diagram) of a gated area. Different points on the walkway are indicated by letters (A through P) with distances being OP = 150 m, ON = MN = 300 m, ML = 400 m, EL = 200 m, DE = 400 m.
The following additional information about the facilities in the area is known.
1
The only entry/exit point is at C.
2
There are many residences within the gated area; all of them are located on the path AH and ML with four of them being at A, H, M, and L.
3
The post office is located at P and the bank is located at B.
One person enters the gated area and decides to walk as much as possible before leaving the area without walking along any path more than once and always walking next to one of the lakes. Note that he may cross a point multiple times. How much distance (in m) will he walk within the gated area?
Question 8 of 22
CAT 2024 Slot 2DILRLogical Reasoning • GridsHard
Caselet / Problem Set Context•~145 words
Official Reference Chart - CAT 2024 Slot 2 Official Reference Chart - CAT 2024 Slot 2
The above is a schematic diagram of walkways (indicated by all the straight lines) and lakes (3 of them, each in the shape of rectangles - shaded in the diagram) of a gated area. Different points on the walkway are indicated by letters (A through P) with distances being OP = 150 m, ON = MN = 300 m, ML = 400 m, EL = 200 m, DE = 400 m.
The following additional information about the facilities in the area is known.
1
The only entry/exit point is at C.
2
There are many residences within the gated area; all of them are located on the path AH and ML with four of them being at A, H, M, and L.
3
The post office is located at P and the bank is located at B.
One resident takes a walk within the gated area starting from A and returning to A without going through any point (other than A) more than once. What is the maximum distance (in m) she can walk in this way? □\square
TITA Answer:
Question 9 of 22
CAT 2024 Slot 2DILRLogical Reasoning • GridsHard
Caselet / Problem Set Context•~145 words
Official Reference Chart - CAT 2024 Slot 2 Official Reference Chart - CAT 2024 Slot 2
The above is a schematic diagram of walkways (indicated by all the straight lines) and lakes (3 of them, each in the shape of rectangles - shaded in the diagram) of a gated area. Different points on the walkway are indicated by letters (A through P) with distances being OP = 150 m, ON = MN = 300 m, ML = 400 m, EL = 200 m, DE = 400 m.
The following additional information about the facilities in the area is known.
1
The only entry/exit point is at C.
2
There are many residences within the gated area; all of them are located on the path AH and ML with four of them being at A, H, M, and L.
3
The post office is located at P and the bank is located at B.
Visitors coming for morning walks are allowed to enter as long as they do not pass by any of the residences and do not cross any point (except C) more than once. What is the maximum distance (in m) that such a visitor can walk within the gated area?
TITA Answer:
Question 10 of 22
CAT 2024 Slot 2DILRData Interpretation • Bar GraphsModerate
Caselet / Problem Set Context•~162 words
An online e-commerce firm receives daily integer product ratings from 1 through 5 given by buyers. The daily average is the average of the ratings given on that day. The cumulative average is the average of all ratings given on or before that day.
The rating system began on Day 1, and the cumulative averages were 3 and 3.1 at the end of Day 1 and Day 2, respectively. The distribution of ratings on Day 2 is given in the figure below.
The following information is known about ratings on Day 3.
1
100 buyers gave product ratings on Day 3.
2
The modes of the product ratings were 4 and 5.
3
The numbers of buyers giving each product rating are non-zero multiples of 10.
4
The same number of buyers gave product ratings of 1 and 2, and that number is half the number of buyers who gave a rating of 3.
Official Reference Chart - CAT 2024 Slot 2 Official Reference Chart - CAT 2024 Slot 2
How many buyers gave ratings on Day 1?
TITA Answer:
Question 11 of 22
CAT 2024 Slot 2DILRData Interpretation • Bar GraphsModerate
Caselet / Problem Set Context•~162 words
An online e-commerce firm receives daily integer product ratings from 1 through 5 given by buyers. The daily average is the average of the ratings given on that day. The cumulative average is the average of all ratings given on or before that day.
The rating system began on Day 1, and the cumulative averages were 3 and 3.1 at the end of Day 1 and Day 2, respectively. The distribution of ratings on Day 2 is given in the figure below.
The following information is known about ratings on Day 3.
1
100 buyers gave product ratings on Day 3.
2
The modes of the product ratings were 4 and 5.
3
The numbers of buyers giving each product rating are non-zero multiples of 10.
4
The same number of buyers gave product ratings of 1 and 2, and that number is half the number of buyers who gave a rating of 3.
Official Reference Chart - CAT 2024 Slot 2 Official Reference Chart - CAT 2024 Slot 2
What is the daily average rating of Day 3?
Question 12 of 22
CAT 2024 Slot 2DILRData Interpretation • Bar GraphsModerate
Caselet / Problem Set Context•~162 words
An online e-commerce firm receives daily integer product ratings from 1 through 5 given by buyers. The daily average is the average of the ratings given on that day. The cumulative average is the average of all ratings given on or before that day.
The rating system began on Day 1, and the cumulative averages were 3 and 3.1 at the end of Day 1 and Day 2, respectively. The distribution of ratings on Day 2 is given in the figure below.
The following information is known about ratings on Day 3.
1
100 buyers gave product ratings on Day 3.
2
The modes of the product ratings were 4 and 5.
3
The numbers of buyers giving each product rating are non-zero multiples of 10.
4
The same number of buyers gave product ratings of 1 and 2, and that number is half the number of buyers who gave a rating of 3.
Official Reference Chart - CAT 2024 Slot 2 Official Reference Chart - CAT 2024 Slot 2
What is the median of all ratings given on Day 3?
TITA Answer:
Question 13 of 22
CAT 2024 Slot 2DILRData Interpretation • Bar GraphsModerate
Caselet / Problem Set Context•~162 words
An online e-commerce firm receives daily integer product ratings from 1 through 5 given by buyers. The daily average is the average of the ratings given on that day. The cumulative average is the average of all ratings given on or before that day.
The rating system began on Day 1, and the cumulative averages were 3 and 3.1 at the end of Day 1 and Day 2, respectively. The distribution of ratings on Day 2 is given in the figure below.
The following information is known about ratings on Day 3.
1
100 buyers gave product ratings on Day 3.
2
The modes of the product ratings were 4 and 5.
3
The numbers of buyers giving each product rating are non-zero multiples of 10.
4
The same number of buyers gave product ratings of 1 and 2, and that number is half the number of buyers who gave a rating of 3.
Official Reference Chart - CAT 2024 Slot 2 Official Reference Chart - CAT 2024 Slot 2
Which of the following is true about the cumulative average ratings of Day 2 and Day 3?
Question 14 of 22
CAT 2024 Slot 2DILRData Interpretation • Scatter PlotEasy
Caselet / Problem Set Context•~130 words
The two plots below give the following information about six firms A, B, C, D, E, and F for 20192019 and 20232023.
PAT: The firm's profits after taxes in Rs. crores,
ES: The firm's employee strength, that is the number of employees in the firm, and
PRD: The percentage of the firm's PAT that they spend on Research and Development (R&D).
In the plots, the horizontal and vertical coordinates of point representing each firm gives their ES and PAT values respectively. The PRD values of each firm are proportional to the areas around the points representing each firm. The areas are comparable between the two plots, i.e., equal areas in the two plots represent the same PRD values for the two years.
Official Reference Chart - CAT 2024 Slot 2 Official Reference Chart - CAT 2024 Slot 2
Assume that the annual rate of growth in PAT over the previous year (ARG) remained constant over the years for each of the six firms. Which among the firms A, B, C, and E had the highest ARG?
Question 15 of 22
CAT 2024 Slot 2DILRData Interpretation • Scatter PlotEasy
Caselet / Problem Set Context•~130 words
The two plots below give the following information about six firms A, B, C, D, E, and F for 20192019 and 20232023.
PAT: The firm's profits after taxes in Rs. crores,
ES: The firm's employee strength, that is the number of employees in the firm, and
PRD: The percentage of the firm's PAT that they spend on Research and Development (R&D).
In the plots, the horizontal and vertical coordinates of point representing each firm gives their ES and PAT values respectively. The PRD values of each firm are proportional to the areas around the points representing each firm. The areas are comparable between the two plots, i.e., equal areas in the two plots represent the same PRD values for the two years.
Official Reference Chart - CAT 2024 Slot 2 Official Reference Chart - CAT 2024 Slot 2
The ratio of the amount of money spent by Firm C on R&D in 2019 to that in 2023 is closest to
Question 16 of 22
CAT 2024 Slot 2DILRData Interpretation • Scatter PlotEasy
Caselet / Problem Set Context•~130 words
The two plots below give the following information about six firms A, B, C, D, E, and F for 20192019 and 20232023.
PAT: The firm's profits after taxes in Rs. crores,
ES: The firm's employee strength, that is the number of employees in the firm, and
PRD: The percentage of the firm's PAT that they spend on Research and Development (R&D).
In the plots, the horizontal and vertical coordinates of point representing each firm gives their ES and PAT values respectively. The PRD values of each firm are proportional to the areas around the points representing each firm. The areas are comparable between the two plots, i.e., equal areas in the two plots represent the same PRD values for the two years.
Official Reference Chart - CAT 2024 Slot 2 Official Reference Chart - CAT 2024 Slot 2
Which among the firms A, C, E, and F had the maximum PAT per employee in 2023?
Question 17 of 22
CAT 2024 Slot 2DILRData Interpretation • Scatter PlotEasy
Caselet / Problem Set Context•~130 words
The two plots below give the following information about six firms A, B, C, D, E, and F for 20192019 and 20232023.
PAT: The firm's profits after taxes in Rs. crores,
ES: The firm's employee strength, that is the number of employees in the firm, and
PRD: The percentage of the firm's PAT that they spend on Research and Development (R&D).
In the plots, the horizontal and vertical coordinates of point representing each firm gives their ES and PAT values respectively. The PRD values of each firm are proportional to the areas around the points representing each firm. The areas are comparable between the two plots, i.e., equal areas in the two plots represent the same PRD values for the two years.
Official Reference Chart - CAT 2024 Slot 2 Official Reference Chart - CAT 2024 Slot 2
Which among the firms C, D, E, and F had the least amount of R & D spending per employee in 2023?
Question 18 of 22
CAT 2024 Slot 2DILRLogical Reasoning • ArrangementsModerate
Caselet / Problem Set Context•~197 words
Eight gymnastics players numbered 1 through 8 underwent a training camp where they were coached by three coaches - Xena, Yuki, and Zara. Each coach trained at least two players. Yuki trained only even numbered players, while Zara trained only odd numbered players. After the camp, the coaches evaluated the players and gave integer ratings to the respective players trained by them on a scale of 1 to 7, with 1 being the lowest rating and 7 the highest.
The following additional information is known.
1
Xena trained more players than Yuki.
2
Player-1 and Player-4 were trained by the same coach, while the coaches who trained Player-2, Player-3 and Player-5 were all different.
3
Player-5 and Player-7 were trained by the same coach and got the same rating. All other players got a unique rating.
4
The average of the ratings of all the players was 4.
5
Player-2 got the highest rating.
6
The average of the ratings of the players trained by Yuki was twice that of the players trained by Xena and two more than that of the players trained by Zara.
7
Player-4's rating was double of Player-8's and less than Player-5's.
What best can be concluded about the number of players coached by Zara?
Question 19 of 22
CAT 2024 Slot 2DILRLogical Reasoning • ArrangementsModerate
Caselet / Problem Set Context•~197 words
Eight gymnastics players numbered 1 through 8 underwent a training camp where they were coached by three coaches - Xena, Yuki, and Zara. Each coach trained at least two players. Yuki trained only even numbered players, while Zara trained only odd numbered players. After the camp, the coaches evaluated the players and gave integer ratings to the respective players trained by them on a scale of 1 to 7, with 1 being the lowest rating and 7 the highest.
The following additional information is known.
1
Xena trained more players than Yuki.
2
Player-1 and Player-4 were trained by the same coach, while the coaches who trained Player-2, Player-3 and Player-5 were all different.
3
Player-5 and Player-7 were trained by the same coach and got the same rating. All other players got a unique rating.
4
The average of the ratings of all the players was 4.
5
Player-2 got the highest rating.
6
The average of the ratings of the players trained by Yuki was twice that of the players trained by Xena and two more than that of the players trained by Zara.
7
Player-4's rating was double of Player-8's and less than Player-5's.
What was the rating of Player-7?
TITA Answer:
Question 20 of 22
CAT 2024 Slot 2DILRLogical Reasoning • ArrangementsModerate
Caselet / Problem Set Context•~197 words
Eight gymnastics players numbered 1 through 8 underwent a training camp where they were coached by three coaches - Xena, Yuki, and Zara. Each coach trained at least two players. Yuki trained only even numbered players, while Zara trained only odd numbered players. After the camp, the coaches evaluated the players and gave integer ratings to the respective players trained by them on a scale of 1 to 7, with 1 being the lowest rating and 7 the highest.
The following additional information is known.
1
Xena trained more players than Yuki.
2
Player-1 and Player-4 were trained by the same coach, while the coaches who trained Player-2, Player-3 and Player-5 were all different.
3
Player-5 and Player-7 were trained by the same coach and got the same rating. All other players got a unique rating.
4
The average of the ratings of all the players was 4.
5
Player-2 got the highest rating.
6
The average of the ratings of the players trained by Yuki was twice that of the players trained by Xena and two more than that of the players trained by Zara.
7
Player-4's rating was double of Player-8's and less than Player-5's.
What was the rating of Player-6?
TITA Answer:
Question 21 of 22
CAT 2024 Slot 2DILRLogical Reasoning • ArrangementsModerate
Caselet / Problem Set Context•~197 words
Eight gymnastics players numbered 1 through 8 underwent a training camp where they were coached by three coaches - Xena, Yuki, and Zara. Each coach trained at least two players. Yuki trained only even numbered players, while Zara trained only odd numbered players. After the camp, the coaches evaluated the players and gave integer ratings to the respective players trained by them on a scale of 1 to 7, with 1 being the lowest rating and 7 the highest.
The following additional information is known.
1
Xena trained more players than Yuki.
2
Player-1 and Player-4 were trained by the same coach, while the coaches who trained Player-2, Player-3 and Player-5 were all different.
3
Player-5 and Player-7 were trained by the same coach and got the same rating. All other players got a unique rating.
4
The average of the ratings of all the players was 4.
5
Player-2 got the highest rating.
6
The average of the ratings of the players trained by Yuki was twice that of the players trained by Xena and two more than that of the players trained by Zara.
7
Player-4's rating was double of Player-8's and less than Player-5's.
For how many players the ratings can be determined with certainty?
TITA Answer:
Question 22 of 22
CAT 2024 Slot 2DILRLogical Reasoning • ArrangementsModerate
Caselet / Problem Set Context•~197 words
Eight gymnastics players numbered 1 through 8 underwent a training camp where they were coached by three coaches - Xena, Yuki, and Zara. Each coach trained at least two players. Yuki trained only even numbered players, while Zara trained only odd numbered players. After the camp, the coaches evaluated the players and gave integer ratings to the respective players trained by them on a scale of 1 to 7, with 1 being the lowest rating and 7 the highest.
The following additional information is known.
1
Xena trained more players than Yuki.
2
Player-1 and Player-4 were trained by the same coach, while the coaches who trained Player-2, Player-3 and Player-5 were all different.
3
Player-5 and Player-7 were trained by the same coach and got the same rating. All other players got a unique rating.
4
The average of the ratings of all the players was 4.
5
Player-2 got the highest rating.
6
The average of the ratings of the players trained by Yuki was twice that of the players trained by Xena and two more than that of the players trained by Zara.
7
Player-4's rating was double of Player-8's and less than Player-5's.
Who all were the players trained by Xena?
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Frequently Asked Questions about CAT 2024 Slot 2 DILR Questions & Answer Key

How many questions were asked in CAT 2024 Slot 2 DILR?

CAT 2024 Slot 2 DILR contained 22 questions convened by IIM Calcutta. 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 2024 Slot 2 DILR?

Achieving a 99.0th percentile in DILR required approximately 23–26 marks (~8 net correct), reflecting the moderate to high difficulty (arithmetic heavy, missing-data tables).

Can I practice other sections of CAT 2024 Slot 2?

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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