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# M01:q26

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Intern
Joined: 27 Oct 2009
Posts: 4
Followers: 0

Kudos [?]: 0 [0], given: 2

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11 Nov 2009, 02:09
If x is an integer, then is x a prime number?

1. x is a multiple of a prime number.
2. x is a product of two integers.

Quote:
Statement (1) by itself is not sufficient. Multiples of a prime number are not prime except the prime number itself. For example, 3 is prime and its multiples are 3 itself (prime), 6 (not prime), etc.

Statement (2) by itself is not sufficient. The product of two integers can be prime only if one integer is a prime and the other integer is 1. For example 3=1*3 is prime, but 6=3*2 is not prime.

Statements (1) and (2) combined are not sufficient. If both statements are combined, x can still be 3 (prime) or 6 (not prime).

OA is E, but as the question is yes/no type, I felt D or A should be correct? can someone give inputs..

thanks
CIO
Joined: 02 Oct 2007
Posts: 1218
Followers: 95

Kudos [?]: 892 [1] , given: 334

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11 Nov 2009, 02:25
1
KUDOS
Hi,

The questions has already been discussed here:
m01-75465.html

We're doing our best to avoid duplicate posts. Thank you for cooperation .
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Re: M01:q26   [#permalink] 11 Nov 2009, 02:25
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# M01:q26

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