Question

Five men A, B, C, D, and E sit in order at a round table and vote for Chairman. In the first ballot, none votes for self or neighbour. First ballot results in tie. In the second ballot, C votes for E, others stick to original choices, resulting in B’s victory. Who voted for B in the first ballot?

• A. D
• B. E
• C. C
• D. Cannot be determined

Hint:

For voting puzzles, track who gains or loses votes across rounds; changes reveal original choices.

Answer 1

The Correct Option is C

Step 1: Seating and Restrictions

The seating positions around the table are: \[ A \;-\; B \;-\; C \;-\; D \;-\; E \;-\; A \] The rule is:

• No one can vote for themselves.
• No one can vote for a neighbour (person immediately to the left or right).

 

Step 2: First Ballot Tie

From the problem, in the second ballot, C changes their vote to E, which causes B to win. This means that in the first ballot, C must have originally voted for B, thereby contributing to B's vote count in the first round.

Step 3: Conclusion

Given the tie in the first round, and applying the voting restrictions, the only consistent scenario is: \[ \boxed{\text{C voted for B initially}} \]