S1 and S2 Contradicting each other

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Source: — Data Sufficiency |

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by mchaubey » Thu May 06, 2010 10:31 am
Here S1 says k has 27 factors thus sufficient
While S2 says k has prime factors r and s thus possible factors are 1, r, s, k only four factors

So which one is correct?

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by electrico » Fri May 07, 2010 12:55 am
Here S1 says k has 27 factors thus sufficient

Man, S1 says that K has the same number of positive integer factors as 3^3 = 27, which has 4 factores - 1,3,9,27.

S1 and S2 are not contradicting. The answer is D.

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by debmalya_dutta » Fri May 07, 2010 4:35 pm
answer is D

(1) k has the same number of positive integer factors as 3^3.
one can determine the number of factors of 27 and the k has the same number of factors
hence , sufficient

(2) k = rs, where r and s are different prime numbers
means r and s are the only prime factors
sufficient by itself