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📌 Section 1 is Logical reasoning specially designed for CAT
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SET 1 — 🔍 CAT Level - CAT 2025
Alia, Badal, Clive, Dilshan, and Ehsaan played a game in which each asks a unique question to all the others and they respond by tapping their feet, either once or twice or thrice. One tap means “Yes”, two taps mean “No”, and three taps mean “Maybe”.
A total of 40 taps were heard across the five questions. Each question received at least one “Yes”, one “No”, and one “Maybe”.
The following information is known.
Alia tapped a total of 6 times and received 9 taps to her question. She responded “Yes” to the questions asked by both Clive and Dilshan.
Dilshan and Ehsaan tapped a total of 11 and 9 times respectively. Dilshan responded “No” to Badal.
Badal, Dilshan, and Ehsaan received equal number of taps to their respective questions.
No one responded “Yes” more than twice.
No one’s answer to Alia’s question matched the answer that Alia gave to that person’s question. This was also true for Ehsaan.
Clive tapped more times in total than Badal.
Question 1
How many taps did Clive receive for his question?
Question 2
Which two people tapped an equal number of times in total?
A. Badal and Dilshan
B. Clive and Ehsaan
C. Dilshan and Clive
D. Alia and Badal
Question 3
What was Clive’s response to Ehsaan’s question?
A. No
B. Maybe
C. Cannot be determined
D. Yes
Question 4
How many “Yes” responses were received across all the questions?
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✅ Answers & Explanations
Person answering | To Alia | To Badal | To Clive | To Dilshan | To Ehsaan | Total taps |
|---|---|---|---|---|---|---|
Alia | — | No | Yes | Yes | No | 6 |
Badal | Yes | — | No | No | Yes | 6 |
Clive | No | Yes | — | Maybe | No | 8 |
Dilshan | Maybe | No | Maybe | — | Maybe | 11 |
Ehsaan | Maybe | Maybe | Yes | No | — | 9 |
Set 1
Let us use:
Yes = 1 tap
No = 2 taps
Maybe = 3 taps
Each person answers 4 questions because they do not answer their own question.
Now check row totals:
Alia: No + Yes + Yes + No = 2 + 1 + 1 + 2 = 6
Badal: Yes + No + No + Yes = 1 + 2 + 2 + 1 = 6
Clive: No + Yes + Maybe + No = 2 + 1 + 3 + 2 = 8
Dilshan: Maybe + No + Maybe + Maybe = 3 + 2 + 3 + 3 = 11
Ehsaan: Maybe + Maybe + Yes + No = 3 + 3 + 1 + 2 = 9
Total = 6 + 6 + 8 + 11 + 9 = 40
Now check question-wise totals:
Alia’s question: Badal Yes + Clive No + Dilshan Maybe + Ehsaan Maybe
= 1 + 2 + 3 + 3 = 9
Badal’s question: Alia No + Clive Yes + Dilshan No + Ehsaan Maybe
= 2 + 1 + 2 + 3 = 8
Clive’s question: Alia Yes + Badal No + Dilshan Maybe + Ehsaan Yes
= 1 + 2 + 3 + 1 = 7
Dilshan’s question: Alia Yes + Badal No + Clive Maybe + Ehsaan No
= 1 + 2 + 3 + 2 = 8
Ehsaan’s question: Alia No + Badal Yes + Clive No + Dilshan Maybe
= 2 + 1 + 2 + 3 = 8
So, Badal, Dilshan, and Ehsaan each received 8 taps, satisfying the condition.
Key Observations
Alia received 9 taps, as given.
Alia answered Yes to Clive and Dilshan, as given.
Dilshan answered No to Badal, as given.
No one answered Yes more than twice.
Alia’s and Ehsaan’s answer-matching conditions are satisfied.
Clive tapped 8 times, which is more than Badal’s 6.
Final Answers
Clive received 7 taps for his question.
Equal total taps: Alia and Badal
Answer: DClive’s response to Ehsaan’s question: No
Answer: ATotal Yes responses = 6
⚡ 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!