Question:medium

How many taps did Clive receive for his question?

Show Hint

When total responses are fixed, sum of taps received across people must match total taps. Solving such puzzles often reduces to finding integer solutions satisfying minimum-per-question constraints.
Updated On: Jul 4, 2026
Show Solution

Correct Answer: 10

Solution and Explanation

Step 1: Build the 5x4 grid (rows = responder, columns = whose question). Fill in the given facts: Alia answers Yes to Clive and Dilshan, and since her total is \(6\) with at most two Yeses allowed, her replies to Badal and Ehsaan must both be No. Dilshan answers No to Badal.
Step 2: Dilshan's total is \(11\), only reachable as three Maybes and one No; since his No is already fixed at Badal, his replies to Alia, Clive and Ehsaan are all Maybe.
Step 3: Working through the remaining rows the same way (Badal's total forces two Yeses and two Nos; Ehsaan's total of \(9\) and the Alia/Ehsaan mirror-rule fix the rest) completes the grid, including the column for Clive's question reading \(1,2,3,1\) down its four entries.
Step 4: Add that column: \(1+2+3+1=7\).
\[ \boxed{7} \]
Was this answer helpful?
0