Practice GMAT Problem Solving Question

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In a recent head-to-head run-off election, 12,000 absentee ballets were cast. 1/3 of the absentee ballets were thrown out and 1/4 of the remaining absentee ballets were cast for Candidate A. How many absentee votes did Candidate B receive?

A)	2,000
B)	3,000
C)	6,000
D)	8,000
E)	9,000

Correct Answer: C

Starting with 12,000 ballets, 1/3 were thrown out, leaving 2/3 still valid:
12,000 * (2/3) = 8,000 valid ballets.
Of those valid ballets, since 1/4 went to A, the other 3/4 must have gone to B since this is a head-to-head run-off election.
8,000 * (3/4) = 6,000 valid ballets for Candidate B.
The correct answer is C.

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