CAT 2025 Slot 1 · DILR · Question 22
CAT 2025 Slot 1 previous year question on Sports and Scores Based Sets, with the answer and a step-by-step solution.
Set 5: Five Friends, Five Questions, Forty Taps — this question belongs to a set. Read the full set with all 4 questions →
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.
Answer & solution
Answer: 6
The completed grid of responses settles this by counting.
Alia answered 2 to Badal, 1 to Clive, 1 to Dilshan and 2 to Ehsaan.
Badal answered 1 to Alia, 2 to Clive, 2 to Dilshan and 1 to Ehsaan.
Clive answered 2 to Alia, 1 to Badal, 3 to Dilshan and 2 to Ehsaan.
Dilshan answered 3 to Alia, 2 to Badal, 3 to Clive and 3 to Ehsaan.
Ehsaan answered 3 to Alia, 3 to Badal, 1 to Clive and 2 to Dilshan.
A "Yes" is a single tap, so count the 1s: Alia gave two, Badal gave two, Clive gave one and Ehsaan gave one.
Dilshan gave none, since his answers were three 3s and a 2.
The total is 2+2+1+1=6 "Yes" responses.
Shortcut. Each question needs at least one "Yes", giving a floor of 5, and clue 4 caps each person at two, giving a ceiling of 10. The tally of question totals — one 9, three 8s and one 7 — leaves only a little room above the floor, and the grid lands on 6.
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