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1) gives you 1<n<25 and 2) gives you 10<n<24. Both statements have many possibilities

The question stem says the sqrt(n) is a positive integer. So, n has to be a perfect square. The only perfect square that lies in the range 10<n<25 is 16.

Re: If sqrt(n) is a positive integer, what is the value of n? [#permalink]

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08 Nov 2014, 08:37

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19 Feb 2016, 00:28

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Re: If sqrt(n) is a positive integer, what is the value of n? [#permalink]

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10 Apr 2016, 07:33

lovely_baby wrote:

Agree with B, but isn't it a nonsence to say that sqrt(n) is positive?

No - As square root of 16 can be 4 or -4. I think you are confusing this with square root of a negative number which is not defined. Bunuel can you please confirm if my logic is correct??

Re: If sqrt(n) is a positive integer, what is the value of n? [#permalink]

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10 Apr 2016, 10:39

MeghaP wrote:

lovely_baby wrote:

Agree with B, but isn't it a nonsence to say that sqrt(n) is positive?

No - As square root of 16 can be 4 or -4. I think you are confusing this with square root of a negative number which is not defined. Bunuel can you please confirm if my logic is correct??

From the Official Guide:

A square root of a number n is a number that, when squared, is equal to n. Every positive number n has two square roots, one positive and the other negative, but √n denotes the positive number whose square is n. For example, √9 denotes 3.

So, √n is always greater than or equal to zero.

Cheers, Brent _________________

Brent Hanneson - Founder of GMAT Prep Now, a free & comprehensive GMAT course with: - over 500 videos (35 hours of instruction) - over 1800 practice questions - 2 full-length practice tests and other bonus offers - http://www.gmatprepnow.com/ Brent also tutors students for the GMAT

Re: If sqrt(n) is a positive integer, what is the value of n? [#permalink]

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18 Jul 2016, 12:07

Hello, I think the answer is "C" 1) sqrt of n is between 1 and 5 hence, the value of n can be 4(which is a positive integer as stated in question) and root of 4 will be 2 which satisfies the inequality

2) sqrt. of n is between 10 and 24 hence, n is 16, which satisfies the second statement.

hence the official answet must be "C"

... Please comment if I am wrong.

gmatclubot

Re: If sqrt(n) is a positive integer, what is the value of n?
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18 Jul 2016, 12:07

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