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
Integer
This topic has expert replies
-
- Junior | Next Rank: 30 Posts
- Posts: 29
- Joined: Fri Sep 25, 2009 9:26 am
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
GMAT/MBA Expert
- Brent@GMATPrepNow
- GMAT Instructor
- Posts: 16207
- Joined: Mon Dec 08, 2008 6:26 pm
- Location: Vancouver, BC
- Thanked: 5254 times
- Followed by:1268 members
- GMAT Score:770
Rephrase the target question as "Is p a non-prime integer?"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
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
Cheers,
Brent
- ronnie1985
- Legendary Member
- Posts: 626
- Joined: Fri Dec 23, 2011 2:50 am
- Location: Ahmedabad
- Thanked: 31 times
- Followed by:10 members
32 33 34 35 36 all are composites (not primes)
hence (A)
hence (A)
Follow your passion, Success as perceived by others shall follow you