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# Of the 60 animals on a certain farm, 2/3 are either pigs or

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Manager
Joined: 21 Feb 2012
Posts: 120

Kudos [?]: 146 [0], given: 15

Location: India
Concentration: Finance, General Management
GMAT 1: 600 Q49 V23
GPA: 3.8
WE: Information Technology (Computer Software)
Of the 60 animals on a certain farm, 2/3 are either pigs or [#permalink]

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08 Apr 2012, 01:39
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45% (medium)

Question Stats:

55% (00:56) correct 45% (00:27) wrong based on 165 sessions

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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 as it has pigs.
(2) The farm has more than 12 pigs.

Can some please explain this in detail.
[Reveal] Spoiler: OA

Kudos [?]: 146 [0], given: 15

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Joined: 02 Sep 2009
Posts: 41684

Kudos [?]: 124424 [15], given: 12078

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08 Apr 2012, 01:48
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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?

2/3 of 60 animals are either pigs or cows. So there are total of 40 cows and pigs.

(1) The farm has more than twice as many cows as it has pigs --> $$c>2p$$ --> as $$c+p=40$$ then $$c=40-p$$ --> $$40-p>2p$$ --> $$13.3>p$$ --> $$p_{max}=13$$ and $$c_{min}=27$$. Many combinations are possible: (27,13), (28, 12), ... Not sufficient.

(2) $$p>12$$. Not sufficient

(1)+(2) $$p>12$$ but $$p_{max}=13$$, hence $$p=13$$ --> $$c=27$$. Sufficient.

In case of any question please post it here: of-the-60-animals-on-a-certain-farm-2-3-are-either-cows-or-92062.html
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Kudos [?]: 124424 [15], given: 12078

Re: DS GMATPREP   [#permalink] 08 Apr 2012, 01:48
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