Pigs and cows : GMAT Data Sufficiency (DS)

Pigs and cows

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Pigs and cows [#permalink]

16 Nov 2011, 14:21

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Question Stats:

33% (00:00) correct

66% (00:30) wrong

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Of the 60 animals on a certain farm, 2/3 are either pigs or cows. How many of the animals are cows?

(1) The farm has more than twice as many cows at it has pigs.

(2) The farm has more than 12 pigs.

Unfortunately, I don't have an answer to his. Can someone please help?
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Re: Pigs and cows [#permalink]

16 Nov 2011, 22:23

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enigma123 wrote:

The wording of the question is a little ambiguous but this is what I infer from it:
Of the 60 animals, 2/3 i.e. 40 are either pigs or cows.
So the total number of pigs and cows on the farm = 40.

Stmnt 1: The farm has more than twice as many cows at it has pigs.

Of the 40, number of cows (c) is more than twice of number of pigs (p)
Many possible solutions:
c = 30, p = 10
c = 31, p = 9
etc

Stmnt 2: The farm has more than 12 pigs.
Many possible solutions:
c = 27, p = 13
c = 26, p = 14
etc

Both together:
p must be at least 13 so c can be at most 27 which satisfies stmnt 1.
If p = 14, c must be 26 but this doesn't satisfy stmnt 1.
As p increases, c decreases and c will never be more than twice of p.

So the only possible value is p = 13, c = 27

Answer (C)
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Re: Pigs and cows [#permalink] 16 Nov 2011, 22:23

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