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The positive integer x has how many different positive [#permalink]
12 Aug 2006, 16:57

00:00

A

B

C

D

E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct
0% (00:00) wrong based on 0 sessions

The positive integer x has how many different
positive factors?
(1) x is a multiple of the same number of
positive integers that 75 is.
(2) x = a2b where a and b are prime numbers.

ST1: If you mean factors, there are 5 (1,3,5,25,75). If you mean numbers multiplied to make 75, that is unclear, bc it could be 1x75 or 3x5x5, so that would be 2 or 3 numbers. In any event, you can make a heck of a lot of different numbers when you multiply 5 numbers together, or 2 numbers together, or 3 numbers together. Each might have a different number of factors.

ST2: Although it needs some clarification in whether it is supposed to be a^2b or (a^2)(b), ST2 will give you a definitive number of factors.

[quote="gmatornot"]I think the answer here is B

ST 1 Same number of factors

75 has a total of 6 factors so x would also have the same number of factors (i.e. 6) and plus k more (x is a multiple of those factors)

ST 2 I am assuming is a^2b => Total number of factors will be 3*2 = 6 hence SUFF[/quote]

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