singh21 wrote: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 as many cows as it has pigs.
(2) The farm has more than 12 pigs.
The answer is (C)
Are you sure that Statement 1 is written correctly here? Should it read "the farm has more than twice as many cows as it has pigs"?
If so, then the statements together are, in fact, sufficient. If 2/3 of the 60 animals are pigs and cows, then P + C = 40.
From the first statement we would know that C > 2P.
From the second statement we know that P > 12.
So when we combine them, we see that P has to be at least 13, and that C has to be more than twice this number, or more than 26. Therefore, if we plug the least possible value for P, which is 13, into the first statement, we see that C would equal 27. 27 is greater than 2P, so it works.
However, if P equals 14, then C would equal 26. 26 is less than 2P (which would be 28), so this will not hold true using both statements. Therefore, the only values that work with both statements are P=13 and C=27, so together they are SUFFICIENT.
