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DS - Set 2 Math

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by rajatmehta » Fri Jun 15, 2007 7:20 pm
Each person on a committee with 40 members voted for exactly one of 3 candidates, F, G, or H. Did Candidate F receive the most votes from the 40 votes cast?
(1) Candidate F received 11 of the votes.
(2) Candidate H received 14 of the votes.

I chose C, but surprisingly it turned out to be A.
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Source: — Data Sufficiency |
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Re: DS - Set 2 Math

by jayhawk2001 » Fri Jun 15, 2007 7:25 pm
rajatmehta wrote:Each person on a committee with 40 members voted for exactly one of 3 candidates, F, G, or H. Did Candidate F receive the most votes from the 40 votes cast?
(1) Candidate F received 11 of the votes.
(2) Candidate H received 14 of the votes.

I chose C, but surprisingly it turned out to be A.
Since this is a DS question, you need to have a deterministic "yes" or "no"
only -- no need to know the actual values of all variables in the eqn.

1 - sufficient. F received 11 votes. The remaining 29 votes were distributed
across G and H. Take 2 cases (i) G = 1, H = 28. F is not the vote
winner. (ii) G = 14, H = 15. Again, F is not the greatest.

This by itself is sufficient to tell us that F is NOT the winner of the greatest
number of votes.

2 - insufficient. Could be that F = 16, G = 10, in which case F is the
winner of the greatest number of votes. Also, it could be G = 16,
F = 10...


Hence A
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