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# Please, help: GMAT Club Tests 24 Q. # 36

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Manager
Joined: 08 Oct 2010
Posts: 212

Kudos [?]: 868 [0], given: 974

Location: Uzbekistan
Schools: Johnson, Fuqua, Simon, Mendoza
WE 3: 10
Please, help: GMAT Club Tests 24 Q. # 36 [#permalink]

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29 Apr 2012, 09:35
Sorry for the re-opening of the forum discussion on the Gmatclub tetsts 24 Q #36 which has been already discussed under the following link:
gmat-math-test-number-properties-3-qn-85845.html

But I want to clarify one point which was not clarified by the discussion run on the link referred above ( at least it is not clear to me)

The problem is:

How many divisors does positive integer N have?
1) The difference between the largest and the smallest divisor of N is 21
2) N+1 has 2 divisors

Here is a point which is not clear to me: whether negative integers can, from the official GMAT tests' point, be considered divisors of a positive integer? Regarding of the problem given here, whether -20 can be taken as a divisor of N? If "yes", then the condition (1) must also not be sufficient. Insofar as I know the problem does not specify that a divisor of N must be a positive integer. Taking this into account one may on the basis of the problem assume that except zero any integer, regardless -ve or +ve one, can be a divisor of N provided the result must be a whole number.

Thanks for your help and + 1 kudos for any clarification.

Kudos [?]: 868 [0], given: 974

Math Expert
Joined: 02 Sep 2009
Posts: 42577

Kudos [?]: 135443 [1], given: 12695

Re: Please, help: GMAT Club Tests 24 Q. # 36 [#permalink]

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30 Apr 2012, 03:28
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Expert's post
feruz77 wrote:
Sorry for the re-opening of the forum discussion on the Gmatclub tetsts 24 Q #36 which has been already discussed under the following link:
gmat-math-test-number-properties-3-qn-85845.html

But I want to clarify one point which was not clarified by the discussion run on the link referred above ( at least it is not clear to me)

The problem is:

How many divisors does positive integer N have?
1) The difference between the largest and the smallest divisor of N is 21
2) N+1 has 2 divisors

Here is a point which is not clear to me: whether negative integers can, from the official GMAT tests' point, be considered divisors of a positive integer? Regarding of the problem given here, whether -20 can be taken as a divisor of N? If "yes", then the condition (1) must also not be sufficient. Insofar as I know the problem does not specify that a divisor of N must be a positive integer. Taking this into account one may on the basis of the problem assume that except zero any integer, regardless -ve or +ve one, can be a divisor of N provided the result must be a whole number.

Thanks for your help and + 1 kudos for any clarification.

ALL GMAT divisibility questions are limited to positive integers only. For example, every GMAT divisibility question will tell you in advance that any unknowns represent positive integers.
_________________

Kudos [?]: 135443 [1], given: 12695

Manager
Joined: 08 Oct 2010
Posts: 212

Kudos [?]: 868 [0], given: 974

Location: Uzbekistan
Schools: Johnson, Fuqua, Simon, Mendoza
WE 3: 10
Re: Please, help: GMAT Club Tests 24 Q. # 36 [#permalink]

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30 Apr 2012, 04:55
Bunuel wrote:
feruz77 wrote:
Sorry for the re-opening of the forum discussion on the Gmatclub tetsts 24 Q #36 which has been already discussed under the following link:
gmat-math-test-number-properties-3-qn-85845.html

But I want to clarify one point which was not clarified by the discussion run on the link referred above ( at least it is not clear to me)

The problem is:

How many divisors does positive integer N have?
1) The difference between the largest and the smallest divisor of N is 21
2) N+1 has 2 divisors

Here is a point which is not clear to me: whether negative integers can, from the official GMAT tests' point, be considered divisors of a positive integer? Regarding of the problem given here, whether -20 can be taken as a divisor of N? If "yes", then the condition (1) must also not be sufficient. Insofar as I know the problem does not specify that a divisor of N must be a positive integer. Taking this into account one may on the basis of the problem assume that except zero any integer, regardless -ve or +ve one, can be a divisor of N provided the result must be a whole number.

Thanks for your help and + 1 kudos for any clarification.

ALL GMAT divisibility questions are limited to positive integers only. For example, every GMAT divisibility question will tell you in advance that any unknowns represent positive integers.

Many thanks to you, Bunuel. I highly appreciate your help.

Kudos [?]: 868 [0], given: 974

Re: Please, help: GMAT Club Tests 24 Q. # 36   [#permalink] 30 Apr 2012, 04:55
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# Please, help: GMAT Club Tests 24 Q. # 36

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