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variables

by naaga » Wed Feb 18, 2009 7:23 am
. Is the positive integer n equal to the square of an integer?
(1) For every prime number p, if p is a divisor of n, then so is p2.
(2) is an integer.






OA is B
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Source: — Data Sufficiency |
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by DanaJ » Wed Feb 18, 2009 8:06 am
You missed smth in stmt 2, but let's see why stmt 1 is insufficient:
Take 8. It has only one prime factor, p = 2. p^2 = 4 and is also a divisor of 8. However, 8 is not a perfect square. This can be extended to all cubes of prime numbers, so you basically have an infinity of counter-examples.
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