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# Each person on a committee with 40 members voted for exactly

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Intern
Joined: 08 Nov 2005
Posts: 28

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Each person on a committee with 40 members voted for exactly [#permalink]

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06 Feb 2006, 19:08
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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?

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Director
Joined: 04 Jan 2006
Posts: 922

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06 Feb 2006, 19:45
C...

1) alone F is 11, G and H can be more than 11..
2) H is 14, F can be 26, or 0

So both?

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Director
Joined: 27 Dec 2004
Posts: 896

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06 Feb 2006, 19:56
C unless there is a trick to this

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VP
Joined: 21 Sep 2003
Posts: 1057

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06 Feb 2006, 20:02
From 1 can we not say that he DID NOT receive the most?

if F = 11, G+H = 29

Even in all cases below, F or G received the most votes

1. G = 14 and H = 15
2. G = 15 and H = 14
3. G = 0 and H = 29
4. G = 29 and H = 0

So I would go for A.
Is this wrong?
_________________

"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."

- Bernard Edmonds

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Intern
Joined: 08 Nov 2005
Posts: 28

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06 Feb 2006, 20:07
I got C too but OA is "A". I lliked your explanation giddi

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Manager
Joined: 14 Jun 2005
Posts: 99

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06 Feb 2006, 21:03
Can you explain why there are only 4 cases for A?

Why can be any other number beside 14, 15, 0 and 29.

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VP
Joined: 21 Sep 2003
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06 Feb 2006, 22:17
hellom3p wrote:
Can you explain why there are only 4 cases for A?

Why can be any other number beside 14, 15, 0 and 29.

When the question "Did F get the max votes" we have 2 choices to answer:
1. YES
2. NO

We cannot answer the question YES because one of them cound have got more votes. So you pick (0,29,11)

Now check if we can to answer the question NO with 100% confidence.
So pick G&H as close as possibe and see if F is more than both G and H atleast in one case.
So pick 14,15,11.

Try this question:
Exactly 20 people voted for F,G,H. F=11. Can you tell whether F got the minimum num of votes?
_________________

"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."

- Bernard Edmonds

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Senior Manager
Joined: 11 Nov 2005
Posts: 325

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07 Feb 2006, 02:11
A.

The question is yes no type. Stat 1 says F received 11, so 29 votes are for G&H, ( 1, 28 2, 27 14,15) so any any case F did not receive the most vote ( the maximum vote) we can answer the question

Stat 2 is not sufficient to find out

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07 Feb 2006, 02:11
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