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DS Qn please help

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by moonlite » Sun Jun 08, 2008 1:15 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 cotes form the 40 cotes cast?

1) Candidate F received 11 of the votes
2) Candidate H received 14 of the votes

OA: !A

Please help! Thanks.
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by chidcguy » Sun Jun 08, 2008 5:42 pm
F+G+H=40

(1) F=11

G+H=29 some pairs (16,13) (6,23) (18,11)

(F,G,H) = (11,16,13) Yes F received least

(F,G,H) = (11,6,23) No F did not receive least

(F,G,H) = (11,18,11) F & H both received least, this test probably does not matter

Apparently we cant answer a certain yes/no

(2) H=14

F+G=26

similar logic applies and we get both yes and no

(1) and (2) together F=11,H=14 and G=15 We can say yes F got the least

Hence C

I am not sure how the answer is A.
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Re: DS Qn please help

by Stuart@KaplanGMAT » Sun Jun 08, 2008 6:40 pm
moonlite 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 cotes form the 40 cotes cast?

1) Candidate F received 11 of the votes
2) Candidate H received 14 of the votes

OA: !A

Please help! Thanks.
1) If F got 11, then G and H combined got 29. So, the average of G and H is 14.5. If the average is 14.5, then at least one of them got 15+ votes, which means that F definitely did NOT get the highest total.
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by Stuart@KaplanGMAT » Sun Jun 08, 2008 8:21 pm
chidcguy wrote:F+G+H=40

(1) F=11

G+H=29 some pairs (16,13) (6,23) (18,11)

(F,G,H) = (11,16,13) Yes F received least

(F,G,H) = (11,6,23) No F did not receive least

(F,G,H) = (11,18,11) F & H both received least, this test probably does not matter

Apparently we cant answer a certain yes/no

(2) H=14

F+G=26

similar logic applies and we get both yes and no

(1) and (2) together F=11,H=14 and G=15 We can say yes F got the least

Hence C

I am not sure how the answer is A.
Question is "Most", not "least"!!
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