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

Question Stats:

60% (01:45) correct

40% (00:44) wrong

based on 135 sessions
If

\sqrt{n} is a positive integer, what is the value of n?

(1)

1 < \sqrt{n} < 5 (2) 10 < n < 24

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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vote for B..
A is insufficient.. lot of values of N..possible.

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

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. Answer: B.

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.

Please change OA.

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Re: If sqrt(n) is a positive integer, what is the value of n? [#permalink ]
09 Oct 2013, 07:17

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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. Answer: B.

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
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. Answer: B.

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?
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11 Oct 2013, 06:32