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Each person in a club with 100 members voted for exactly one of 3 cand

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Each person in a club with 100 members voted for exactly one of 3 cand  [#permalink]

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New post 25 Nov 2014, 07:20
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A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

61% (01:29) correct 39% (01:41) wrong based on 90 sessions

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Tough and Tricky questions: Word Problems.



Each person in a club with 100 members voted for exactly one of 3 candidates for president: A, B, or C. Did candidate A receive the most votes?

(1) No single candidate received more than 50% of the votes.
(2) Candidate A received 32 votes.

Kudos for a correct solution.

Source: Chili Hot GMAT

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Re: Each person in a club with 100 members voted for exactly one of 3 cand  [#permalink]

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New post 25 Nov 2014, 08:03
1
Each person in a club with 100 members voted for exactly one of 3 candidates for president: A, B, or C. Did candidate A receive the most votes?

(1) No single candidate received more than 50% of the votes.

A could have received 40 votes, and B & C each received 30 votes. Answer would be YES.
A could have received 30 votes, and B & C each received 35 votes. Answer would be NO.

Insufficient.

(2) Candidate A received 32 votes.

A received 32 votes. Therefore there are 68 votes that were split between B & C. You should see that there is no way A could have received the most votes since B or C could each have received 34 votes, or one of B or C could have received greater than 34 votes. A would not have received the most votes.

Statement 2 alone is sufficient to answer the question.

Answer is B.
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Re: Each person in a club with 100 members voted for exactly one of 3 cand  [#permalink]

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New post 25 Nov 2014, 17:10
1
Statement 1 says no-one got more than 50% of the vote. Insufficient--many different scenarios and anyone could've won.
Statement 2 says A only got 32 votes. This leaves 68 for the other two candidates. In every, situation, either B or C gets more votes than A. Sufficient

B
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Re: Each person in a club with 100 members voted for exactly one of 3 cand  [#permalink]

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New post 25 Nov 2014, 20:04
1
1. No single candidate received more than 50% of the votes. - Clearly insufficient, since we don't know who got how many votes
2. Candidate A received 32 votes - Therefore remaining 68 votes needs to be divided and for every case at- least one would get more votes than the candidate A.
Hence we can conclusively say that A) didn't get the maximum number of votes.

B) should be the answer
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Re: Each person in a club with 100 members voted for exactly one of 3 cand  [#permalink]

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New post 26 Nov 2014, 00:01
1
Bunuel wrote:

Tough and Tricky questions: Word Problems.



Each person in a club with 100 members voted for exactly one of 3 candidates for president: A, B, or C. Did candidate A receive the most votes?

(1) No single candidate received more than 50% of the votes.
(2) Candidate A received 32 votes.

Kudos for a correct solution.

Source: Chili Hot GMAT



Answer = B
1) No information about A given. All combinations possible - NOT SUFFICIENT.
2) If A got 32 votes, then remaining 68 votes are for B or C. So one of them HAS to get more than 32 votes. SUFFICIENT.

Answer = B.
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Re: Each person in a club with 100 members voted for exactly one of 3 cand  [#permalink]

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New post 26 Nov 2014, 06:20
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Re: Each person in a club with 100 members voted for exactly one of 3 cand  [#permalink]

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New post 17 Apr 2018, 08:45
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Each person in a club with 100 members voted for exactly one of 3 cand &nbs [#permalink] 17 Apr 2018, 08:45
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