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# If sqrt(n) is a positive integer, what is the value of n?

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If sqrt(n) is a positive integer, what is the value of n? [#permalink]  16 Jan 2005, 15:49
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If $$\sqrt{n}$$ is a positive integer, what is the value of n?

(1) $$1 < \sqrt{n} < 5$$

(2) 10 < n < 24
[Reveal] Spoiler: OA

Last edited by Bunuel on 09 Oct 2013, 07:17, edited 2 times in total.
Edited the question and added the OA
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[#permalink]  16 Jan 2005, 16:56
vote for B..
A is insufficient.. lot of values of N..possible.
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[#permalink]  16 Jan 2005, 18:33
How did you get B?

1) gives you 1<n<25 and 2) gives you 10<n<24. Both statements have many possibilities
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[#permalink]  16 Jan 2005, 20:13
ywilfred wrote:
How did you get B?

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.
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[#permalink]  17 Jan 2005, 03:07
Agree with B, but isn't it a nonsence to say that sqrt(n) is positive?
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Re: If sqrt(n) is a positive integer, what is the value of n? [#permalink]  09 Oct 2013, 03:17
SQUARE ROOT of any number is posituive in gmat and its also mentioned in the question stem , then why A is not an option.
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Re: If sqrt(n) is a positive integer, what is the value of n? [#permalink]  09 Oct 2013, 03:26
ruplun wrote:
SQUARE ROOT of any number is posituive in gmat and its also mentioned in the question stem , then why A is not an option.

Hi,

$$1 < \sqrt{n} < 5$$

n can have the below possible values as per the given condition:
n = 4, 9 or 16
Hence $$\sqrt{n}$$ = 2, 3 or 4

Hence Statement 1 is insufficient.

Hope it helps
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Re: If sqrt(n) is a positive integer, what is the value of n? [#permalink]  09 Oct 2013, 03:56
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If $$\sqrt{n}$$ is a positive integer, what is the value of n?

$$\sqrt{n}=integer$$ means that n is a perfect square.

(1) $$1 < \sqrt{n} < 5$$ --> $$\sqrt{n}$$ is 2, 3, or 4. Thus n can be 4, 9, or 16. Not sufficient.

(2) 10 < n < 24. There is only one perfect square in this range, thus n=16. Sufficient.

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Re: If sqrt(n) is a positive integer, what is the value of n? [#permalink]  09 Oct 2013, 05:21
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Bunuel wrote:
If $$\sqrt{n}$$ is a positive integer, what is the value of n?

$$\sqrt{n}=integer$$ means that n is a perfect square.

(1) $$1 < \sqrt{n} < 5$$ --> $$\sqrt{n}$$ is 2, 3, or 4. Thus n can be 4, 9, or 16. Not sufficient.

(2) 10 < n < 24. There is only one perfect square in this range, thus n=16. Sufficient.

You have the OA as A in the OP, I think you meant B
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Re: If sqrt(n) is a positive integer, what is the value of n? [#permalink]  09 Oct 2013, 05:29
@bunuel please change the OA it shows the answer as A when the correct answer is B..
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Re: If sqrt(n) is a positive integer, what is the value of n? [#permalink]  09 Oct 2013, 06:40
gayathri wrote:
If $$\sqrt{n}$$ is a positive integer, what is the value of n?

(1) $$1 < \sqrt{n} < 5$$

(2) 10 < n < 24

OA is incorrect, answer is B, however OA shows A.
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Re: If sqrt(n) is a positive integer, what is the value of n? [#permalink]  09 Oct 2013, 07:17
Expert's post
Edited the OA. Tnank you.
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Re: If sqrt(n) is a positive integer, what is the value of n? [#permalink]  11 Oct 2013, 06:16
Bunuel wrote:
If $$\sqrt{n}$$ is a positive integer, what is the value of n?

$$\sqrt{n}=integer$$ means that n is a perfect square.

(1) $$1 < \sqrt{n} < 5$$ --> $$\sqrt{n}$$ is 2, 3, or 4. Thus n can be 4, 9, or 16. Not sufficient.

(2) 10 < n < 24. There is only one perfect square in this range, thus n=16. Sufficient.

Nowhere, it is shown that \sqrt{n} is a positive whole number...It is integer. 3.5 can also be a integer
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Re: If sqrt(n) is a positive integer, what is the value of n? [#permalink]  11 Oct 2013, 06:32
Expert's post
himang wrote:
Bunuel wrote:
If $$\sqrt{n}$$ is a positive integer, what is the value of n?

$$\sqrt{n}=integer$$ means that n is a perfect square.

(1) $$1 < \sqrt{n} < 5$$ --> $$\sqrt{n}$$ is 2, 3, or 4. Thus n can be 4, 9, or 16. Not sufficient.

(2) 10 < n < 24. There is only one perfect square in this range, thus n=16. Sufficient.

Nowhere, it is shown that \sqrt{n} is a positive whole number...It is integer. 3.5 can also be a integer

Sorry, but your post makes no sense at all. Can you please elaborate what you mean? Thank you.
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Re: If sqrt(n) is a positive integer, what is the value of n? [#permalink]  08 Nov 2014, 07:37
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Re: If sqrt(n) is a positive integer, what is the value of n?   [#permalink] 08 Nov 2014, 07:37
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# If sqrt(n) is a positive integer, what is the value of n?

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