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At least 2/3 of the 40 members of a committee must vote in

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At least 2/3 of the 40 members of a committee must vote in [#permalink] New post 05 Dec 2012, 08:05
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Question Stats:

68% (01:40) correct 31% (00:45) wrong based on 4 sessions
At least 2/3 of the 40 members of a committee must vote in favor of a resolution for it to pass. What is the greatest number of members who could vote against the resolution and still have it pass?

(A) 19
(8) 17
(C) 16
(D) 14
(E) 13
[Reveal] Spoiler: OA
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Re: At least 2/3 of the 40 members of a committee must vote in [#permalink] New post 05 Dec 2012, 08:10
Walkabout wrote:
At least 2/3 of the 40 members of a committee must vote in favor of a resolution for it to pass. What is the greatest number of members who could vote against the resolution and still have it pass?

(A) 19
(8) 17
(C) 16
(D) 14
(E) 13


Since, at least 2/3 of the 40 members of a committee must vote in favor, then at least \frac{2}{3}*40=26\frac{2}{3} or at least 27 members should vote in favor. Therefore at most 13 members could vote against.

Answer: E.
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Re: At least 2/3 of the 40 members of a committee must vote in   [#permalink] 05 Dec 2012, 08:10
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