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📌 Section 1 is Logical reasoning specially designed for CAT
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SET 1 — 🔍 CAT Level
Six batsmen – Rohit, Rahul, Kohli, Iyer, Dhoni and Pandey – are standing in a queue, one behind the other. Each batsman scored a different number of runs among 17, 24, 36, 38, 43, and 62 in the match which just concluded. The following information is also known about them:
I. Rahul, who is standing behind Rohit, scored 19 runs more than the batsman standing at the end of the queue.
II. Dhoni, who scored seven runs more than Iyer, is standing three places away from Rohit.
III. For any pair of batsmen standing next to each other, the difference between the number of runs scored by them is at least 15.
IV. Iyer is standing immediately in front of Kohli.
Question 1
How many runs did Rahul score?
A. 62
B. 43
C. 26
D. 24
Question 2
How many runs did the second person from the front end in the queue score?
A. 43
B. 24
C. 17
D. 38
Question 3
Who is standing at the rear end of the queue?
A. Dhoni
B. Pandey
C. Kohli
D. Rahul
Question 4
Who is standing fifth from the front of the queue?
A. Pandey
B. Rahul
C. Dhoni
D. Cannot be determined
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✅ Answers & Explanations
We have six batsmen:
Rohit, Rahul, Kohli, Iyer, Dhoni and Pandey
Runs scored:
17, 24, 36, 38, 43, 62
Let the positions in the queue be:
Front → 1 – 2 – 3 – 4 – 5 – 6 → Rear
Step 1: Use the relationship between Dhoni and Iyer's scores
Dhoni scored 7 runs more than Iyer.
From the available scores:
17 and 24 → difference 7
36 and 43 → difference 7
Therefore, there are only two possibilities:
Case 1: Iyer = 17, Dhoni = 24
Case 2: Iyer = 36, Dhoni = 43
Step 2: Use Rahul's score condition
Rahul scored 19 runs more than the batsman standing at the rear end of the queue.
From the available scores, pairs differing by 19 are:
17 → 36
24 → 43
43 → 62
So the possible combinations are:
Rear person's score | Rahul's score |
|---|---|
17 | 36 |
24 | 43 |
43 | 62 |
Step 3: Apply the adjacent-score condition
Any two batsmen standing next to each other must have a score difference of at least 15.
Also:
Iyer is immediately in front of Kohli.
Rahul is behind Rohit.
Dhoni is three places away from Rohit.
Testing the possible score combinations with these conditions gives only one valid arrangement.
Final Arrangement
Position | Batsman | Runs |
|---|---|---|
1 | Iyer | 36 |
2 | Kohli | 17 |
3 | Rohit | 38 |
4 | Rahul | 62 |
5 | Pandey | 24 |
6 | Dhoni | 43 |
Front → Iyer – Kohli – Rohit – Rahul – Pandey – Dhoni → Rear
Check the adjacent score differences:
Iyer (36) & Kohli (17) → 19 ✅
Kohli (17) & Rohit (38) → 21 ✅
Rohit (38) & Rahul (62) → 24 ✅
Rahul (62) & Pandey (24) → 38 ✅
Pandey (24) & Dhoni (43) → 19 ✅
All differences are at least 15.
Other conditions:
Rahul is behind Rohit ✅
Rahul scored 62, which is 19 more than rear-end batsman Dhoni's 43 ✅
Dhoni scored 43, seven more than Iyer's 36 ✅
Dhoni is at position 6 and Rohit at position 3, so they are three places apart ✅
Iyer is immediately in front of Kohli ✅
Answers
1. How many runs did Rahul score?
Rahul scored 62 runs.
Answer: A. 62 ✅
2. How many runs did the second person from the front end in the queue score?
The second person is Kohli, who scored 17 runs.
Answer: C. 17 ✅
3. Who is standing at the rear end of the queue?
The person at position 6 is Dhoni.
Answer: A. Dhoni ✅
4. Who is standing fifth from the front of the queue?
The person at position 5 is Pandey.
Answer: A. Pandey ✅
⚡ Brain teasers are not just about getting the right answer — they train you to think differently under pressure.
Stay consistent with your daily practice, challenge your assumptions, and keep sharpening your reasoning skills.
See you in tomorrow’s challenge!