In an election for class president, 61 votes are cast by students who are voting to choose one of four candidates. Each student must vote for only one candidate. The candidate with the highest number of votes is the winner. The smallest number of votes the winner can receive is
(A) 15
(B) 16
(C) 21
(D) 30
(E) 31
In an election for class president, 61 votes are cast by students who are voting to choose one of four candidates. Each student must vote for only one candidate. The candidate with the highest number of votes is the winner. The smallest number of votes the winner can receive is
(A) 15
(B) 16
(C) 21
(D) 30
(E) 31

## Solution

After 60 votes are cast, theoretically it is possible for each candidate to have 15 votes.

The final vote, the 61st, would mean that the winning candidate would need just 16 votes to have the minimum number possible.

ANSWER: (B)