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# If is a positive integer, is the number of its divisors

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Intern
Joined: 24 Jul 2008
Posts: 32
If is a positive integer, is the number of its divisors  [#permalink]

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08 Sep 2008, 10:01
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If is a positive integer, is the number of its divisors smaller than 2* [X] - 1
[X] is defined as the smallest integer that is not less than .
1. is not a square of an integer
2. is prime

 Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
 Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
 BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
 EACH statement ALONE is sufficient
 Statements (1) and (2) TOGETHER are NOT sufficient

In my opinion chocie is B. Any takers to this? I dont agree with original ans - D

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SVP
Joined: 07 Nov 2007
Posts: 1728
Location: New York

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08 Sep 2008, 10:09
kaushikb wrote:
If is a positive integer, is the number of its divisors smaller than 2* [X] - 1
[X] is defined as the smallest integer that is not less than .
1. is not a square of an integer
2. is prime

 Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
 Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
 BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
 EACH statement ALONE is sufficient
 Statements (1) and (2) TOGETHER are NOT sufficient

In my opinion chocie is B. Any takers to this? I dont agree with original ans - D

please check the question. some information is missing..
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Intern
Joined: 24 Jul 2008
Posts: 32

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08 Sep 2008, 10:42
Sincere apologies for missing out on the key information.

If is a positive integer, is the number of its divisors smaller than 2* [SQUARE ROOT X ] - 1
[X] is defined as the smallest integer that is not less than X
1. is not a square of an integer
2. is prime

 Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
 Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
 BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
 EACH statement ALONE is sufficient
 Statements (1) and (2) TOGETHER are NOT sufficient

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: DS - &nbs [#permalink] 08 Sep 2008, 10:42
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