In a class of 28 students, one student is to be elected as class representative. Three of the 28 students are running

[M7MBA]

In a class of 28 students, one student is to be elected as class representative. Three of the 28 students are running for the position. The three candidates may not vote, but all the other students must vote. What is the smallest percent of votes with which a candidate could win, if winning is defined as receiving a plurality of votes (more votes than any other candidate)?

(A) 25%
(B) 33.34%
(C) 34%
(D) 36%
(E) 50.1%

[spoiler]OA=D[/spoiler]

Source: Veritas Prep

[Scott@TargetTestPrep]

In a class of 28 students, one student is to be elected as class representative. Three of the 28 students are running for the position. The three candidates may not vote, but all the other students must vote. What is the smallest percent of votes with which a candidate could win, if winning is defined as receiving a plurality of votes (more votes than any other candidate)?

(A) 25%
(B) 33.34%
(C) 34%
(D) 36%
(E) 50.1%

[spoiler]OA=D[/spoiler]

Solution:

Since 25 students are voting and there are 3 candidates, a candidate needs to have at least 9 students to vote for him or her in order to receive a plurality of votes. Therefore, the smallest percent of votes is 9/25 = 36/100 = 36%.

Answer: D