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Integer

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by GmatKiss » Tue May 22, 2012 10:04 am
Can the positive integer p be expressed as the product of two integers, each of which is greater than 1 ?

(1) 31 < p < 37
(2) p is odd
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Source: — Data Sufficiency |
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by Pugalenthi » Tue May 22, 2012 12:19 pm
I think the answer is A since all the numbers within the given range in stmt 1 can be expressed as product of two integers each of which is >1
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by agarwalva » Tue May 22, 2012 12:26 pm
IMO A
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by GmatKiss » Tue May 22, 2012 12:34 pm
OA is indeed A
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by Brent@GMATPrepNow » Wed May 23, 2012 7:00 am
GmatKiss wrote:Can the positive integer p be expressed as the product of two integers, each of which is greater than 1 ?

(1) 31 < p < 37
(2) p is odd
Rephrase the target question as "Is p a non-prime integer?"
Or rephrase it as "Is p a composite integer?"

Statement 1: 31 < p < 37
p=32: composite? Yes
p=33: composite? Yes
p=34: composite? Yes
p=35: composite? Yes
p=36: composite? Yes
We can be certain that p a composite integer.
SUFFICIENT

Statement 2: p is odd
p=7: composite? no
p=9: composite? yes
We cannot be certain that p a composite integer.
NOT SUFFICIENT

Answer = A

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by ronnie1985 » Wed May 23, 2012 7:13 am
32 33 34 35 36 all are composites (not primes)

hence (A)
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