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
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
Number Theory question
This topic has expert replies
GMAT/MBA Expert
-
Rahul@gurome
- GMAT Instructor
- Posts: 1179
- Joined: Sun Apr 11, 2010 9:07 pm
- Location: Milpitas, CA
- Thanked: 447 times
- Followed by:88 members
(1) p can take any values from 32, 33, 34, 35, 36 and all these values can be expressed as the product of two integers.
So, (1) is SUFFICIENT.
(2) If p = 3, 5, 7, 11, then p cannot be expressed as the product of two integers.
If p = 9, 15, 21, then p can be expressed as the product of two integers. No unique answer.
So, (2) is NOT SUFFICIENT.
[spoiler]The correct answer is (A).[/spoiler]
So, (1) is SUFFICIENT.
(2) If p = 3, 5, 7, 11, then p cannot be expressed as the product of two integers.
If p = 9, 15, 21, then p can be expressed as the product of two integers. No unique answer.
So, (2) is NOT SUFFICIENT.
[spoiler]The correct answer is (A).[/spoiler]
Rahul Lakhani
Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)
Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)
-
sk818020
- Master | Next Rank: 500 Posts
- Posts: 214
- Joined: Mon Mar 29, 2010 1:46 pm
- Location: Houston, TX
- Thanked: 37 times
- GMAT Score:700
The question is basically asking if p is a prime number.
1) No number between 31 and 37 is prime, so sufficient.
2) There odd numbers that are prime and not prime, so insufficient.
A
Hope this helps.
Thanks,
Jared
1) No number between 31 and 37 is prime, so sufficient.
2) There odd numbers that are prime and not prime, so insufficient.
A
Hope this helps.
Thanks,
Jared
