CAT 2025 Slot 3 DILR · Set 2 of 5Data InterpretationModerate DifficultyQ6–Q9 · 2 MCQ + 2 TITA

CAT 2025 Slot 3 DILR Set 2: Other Charts (4 Questions) with Solutions

The Other Charts set from the official CAT 2025 Slot 3 DILR paper: the caselet, all 4 questions, the official answer key and a step-by-step solution for each. 100% free, no sign-up.

The Set: Read the Caselet First

CAT 2025 Slot 3 DILR · Questions 6–9
Anirbid, Chandranath, Koushik, and Suranjan participated in a puzzle solving competition. The competition comprised 10 puzzles that had to be solved in the same sequence, i.e., a competitor got access to a puzzle as soon as they solved the previous puzzle. Some of the puzzles were visual puzzles and the others were number-based puzzles. The winner of the competition was the one who solved all puzzles in the least time. The following charts describe their progress in the competition. The chart on the left shows the number of puzzles solved by each competitor at a given time (in minutes) after the start of the competition. The chart on the right shows the number of visual puzzles solved by each competitor at a given time (in minutes) after the start of the competition.
Official Reference Chart - CAT 2025 Slot 3 Official Reference Chart - CAT 2025 Slot 3

In the exam this set competed with 4 others for 40 minutes. Budget about 8 minutes if you attempt it.

Q6. Other Charts

MCQ · +3 / −1
Who had solved the largest number of puzzles by the 20-th minute from the start of the competition?
  1. A) Chandranath
  2. B) Suranjan
  3. C) Koushik
  4. D) Anirbid
Correct Answer
C) Koushik
Step-by-step solution
📌 Core Concept
In the left chart, a competitor's count at a given time is the height of their line at that time. Compare the four lines at minute 20.
🔢 Step-by-Step Solution
1
Koushik (green) reaches 6 puzzles at about minute 16 and 7 puzzles at about minute 19. He stays at 7 until about minute 25, so he has solved 7 by minute 20.
2
Anirbid (red) is on 5 or 6 at minute 20, depending on the exact step times. This is below 7.
3
Chandranath (yellow) is on 5 at minute 20 and reaches 6 only at about minute 21.
4
Suranjan (blue) is on 4 at minute 20. He reaches 5 only after minute 20.
5
Koushik's line is the highest, so he has solved the most.
Why Not the Others
A) Chandranath has only 5 at minute 20.
B) Suranjan has only 4 at minute 20.
D) Anirbid has at most 6 at minute 20, below Koushik's 7.
Quick Check
Koushik's 7th puzzle is solved before minute 20. No other line reaches 7 until about minute 26.
Correct Answer: C

Q7. Other Charts

TITA · +3 / 0
How many minutes did Suranjan take to solve the third visual puzzle in the competition?
Correct Answer
2
Step-by-step solution
📌 Core Concept
The time for one puzzle is the gap between solving it and solving the previous puzzle. The visual chart gives when each visual puzzle was solved, and the left chart gives which puzzle number that was.
🔢 Step-by-Step Solution
1
In the visual chart, Suranjan's third visual puzzle is solved at about minute 28, when his line steps from 2 to 3.
2
In the left chart, Suranjan's step to 8 puzzles is also at minute 28. So his third visual puzzle is the 8th puzzle overall.
3
His 7th puzzle was solved at about minute 26, which is the step from 6 to 7 in the left chart.
4
Time taken for the third visual puzzle is 28−26=228 - 26 = 2 minutes.
Quick Check
Suranjan's fourth visual puzzle is solved at about minute 30, which is his 9th puzzle. That puzzle also follows a gap of 2 minutes after minute 28.
Correct Answer: 2

Q8. Other Charts

TITA · +3 / 0
At what number in the sequence was the fourth number-based puzzle?
Correct Answer
6
Step-by-step solution
📌 Core Concept
Every competitor faces the same puzzles in the same order. So the position of each visual puzzle can be read from one competitor's two charts, and the remaining positions are number-based.
🔢 Step-by-Step Solution
1
Take Koushik. His visual puzzles are solved at about minutes 2, 12, 25 and 29.
2
Match these to his steps in the left chart. Minute 2 is puzzle 1, minute 12 is puzzle 4, minute 25 is puzzle 8, and minute 29 is puzzle 9.
3
So the visual puzzles are at positions 1, 4, 8 and 9.
4
The number-based puzzles are at positions 2, 3, 5, 6, 7 and 10.
5
The fourth number-based puzzle is at position 6.
Quick Check
Counting the number-based positions in order gives 2, 3, 5, 6. The fourth is 6.
Correct Answer: 6

Q9. Other Charts

MCQ · +3 / −1
Which of the following is the closest to the average time taken by Anirbid to solve the number-based puzzles in the competition?
  1. A) 2.5 minutes
  2. B) 3.3 minutes
  3. C) 4.0 minutes
  4. D) 3.8 minutes
Correct Answer
C) 4.0 minutes
Step-by-step solution
📌 Core Concept
Anirbid's total time is 37 minutes. Subtract the time he spent on the visual puzzles and divide the rest by the 6 number-based puzzles.
🔢 Step-by-Step Solution
1
From the earlier set analysis, the visual puzzles are puzzles 1, 4, 8 and 9. The other six are number-based.
2
Anirbid finishes all 10 puzzles at about minute 37.
3
Puzzle 1 is visual and he solves it at minute 4, so it takes 4 minutes.
4
Puzzle 4 is visual. He solves puzzle 3 at about minute 11 and puzzle 4 at about minute 14, which is 3 minutes.
5
Puzzle 8 is visual. He solves puzzle 7 at about minute 27 and puzzle 8 at about minute 29, which is 2 minutes.
6
Puzzle 9 is visual. He solves it at about minute 33, which is 4 minutes after minute 29.
7
The visual puzzles took 4+3+2+4=134 + 3 + 2 + 4 = 13 minutes in total.
8
The number-based puzzles took 37−13=2437 - 13 = 24 minutes over 6 puzzles. The average is 246=4.0\frac{24}{6} = 4.0 minutes.
Why Not the Others
A) 2.5 minutes is too low. It would need only 15 minutes in total for the number puzzles.
B) 3.3 minutes would mean about 20 minutes in total, but the total is 24.
D) 3.8 minutes would mean about 23 minutes in total, which is further from 24 than 4.0 is.
Correct Answer: C
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CAT 2025 Slot 3 DILR at a Glance

Sets in this section5
Questions in this section22
Section time40 minutes
Convenor IIMIIM Kozhikode

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