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%
Total number of Students = 28
Number of Students running for class representative position = 3
Candidates/Students may not vote = 3
Therefore Total number of students who must vote = 28 - 3 = 25
Required fraction = \(\frac{25}{3}\) = 8.333
ie; each of three candidates can get 8 equal votes.
8 x 3 = 24, thus 1 vote remains.
Candidate who gets 1 more vote could win. Therefore winning candidate would get 9 votes.
Required Percentage = \(\frac{9}{25}\) x 100 =
36%Answer D..._________________
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