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

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Math Expert
Joined: 02 Sep 2009
Posts: 52308
Each person in a club with 100 members voted for exactly one of 3 cand  [#permalink]

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25 Nov 2014, 07:20
1
00:00

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?

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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25 Nov 2014, 08:03
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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?

Insufficient.

Statement 2 alone is sufficient to answer the question.

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Joined: 12 Sep 2014
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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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25 Nov 2014, 17:10
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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

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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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25 Nov 2014, 20:04
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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.

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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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26 Nov 2014, 00:01
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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?

Kudos for a correct solution.

Source: Chili Hot GMAT

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.

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Posts: 52308
Re: Each person in a club with 100 members voted for exactly one of 3 cand  [#permalink]

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26 Nov 2014, 06:20

Similar question to practice: each-person-on-a-committee-with-40-members-voted-for-exactly-129999.html
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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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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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