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A farmer has a total of 60 pigs, cows, and horses on his far

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A farmer has a total of 60 pigs, cows, and horses on his far

by GMATinsight » Thu Oct 08, 2015 1:43 am
A farmer has a total of 60 pigs, cows, and horses on his farm. How many pigs does he have?

(1) The ratio of horses to cows is 2:9.
(2) He has more than 36 cows.

Answer: Option C
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Source: — Data Sufficiency |
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by GMATinsight » Thu Oct 08, 2015 1:44 am
GMATinsight wrote:A farmer has a total of 60 pigs, cows, and horses on his farm. How many pigs does he have?

(1) The ratio of horses to cows is 2:9.
(2) He has more than 36 cows.

Answer: Option C
Given : P+C+H = 60

Question : P=?

Statement 1: H:C = 2:9
i.e. if H = 2 then C = 9 and P = 60-2-9 = 49
and if H = 4 then C = 18 and P = 60-4-18 = 38. Hence,
NOT SUFFICIENT

Statement 2: C > 36
Since the Number of C and H is still Uncertain hence the Number of Pigs can't be calculated. Hence
NOT SUFFICIENT

Combining the two statements
if H = 2x
then C = 9x
and C>36
i.e. x>4
i.e. Possible Value of C = 9*5=45 only
i.e. Only possible value of H = 2*5 = 10
i.e. Pigs = 60-45-10 = 5
SUFFICIENT

Answer: option C
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