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Foot Tapping Responses Game

CAT 2025 Slot 1 · Data Interpretation & Logical Reasoning · Hard · Logical Reasoning

This is a hard Data Interpretation & Logical Reasoning question set from the CAT 2025 Slot 1 paper. It tests Logical Reasoning. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

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Passage / data set

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.

  1. 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.
  2. Dilshan and Ehsaan tapped a total of 11 and 9 times respectively. Dilshan responded "No" to Badal.
  3. Badal, Dilshan, and Ehsaan received equal number of taps to their respective questions.
  4. No one responded "Yes" more than twice.
  5. 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.
  6. Clive tapped more times in total than Badal.

Question 1 of 4

How many taps did Clive receive for his question?

Answer

7

Explanation

Analyzing the matrix of 5 questioners x 4 respondents, total taps sum to 40. Solving the system yields 7 taps received by Clive.

Question 2 of 4

Which two people tapped an equal number of times in total?

Answer

Badal and Ehsaan

Explanation

Calculating individual total taps made across all questions shows that Badal and Ehsaan both tapped a total of 9 times.

Question 3 of 4

What was Clive's response to Ehsaan's question?

  1. A.

    Yes

  2. B.

    Maybe

  3. C.

    Cannot be determined

  4. D.

    No

Answer

A

Explanation

By mapping out the specific taps using condition 5 and response limits, Clive responded with 1 tap ('Yes') to Ehsaan's question.

Question 4 of 4

How many "Yes" responses were received across all the questions?

Answer

8

Explanation

Counting all 1-tap responses across the entire table gives a total of 8 'Yes' responses.

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