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What is the value of the positive integer n?

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Joined: 02 Sep 2009
Posts: 51263
What is the value of the positive integer n?  [#permalink]

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26 Feb 2018, 02:33
00:00

Difficulty:

25% (medium)

Question Stats:

81% (01:21) correct 19% (01:16) wrong based on 53 sessions

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GMAT CLUB'S FRESH QUESTION.

What is the value of the positive integer n?

(1) 11 is a factor of n^2.
(2) $$\sqrt{n}$$ is a prime number

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What is the value of the positive integer n?  [#permalink]

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26 Feb 2018, 03:07
Bunuel wrote:

GMAT CLUB'S FRESH QUESTION.

What is the value of the positive integer n?

(1) 11 is a factor of n^2.
(2) $$\sqrt{n}$$ is a prime number

a) if 11 is a factor of n^2
n can be 11/21/1331

insufficient

b) $$\sqrt{n}$$ is prime
there are many values of this i.e squares of all prime

insufficient

combining a and b

11 is a factor of n^2 and $$\sqrt{n}$$ is prime means n is a square of prime

so n has to be 121

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Re: What is the value of the positive integer n?  [#permalink]

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26 Feb 2018, 03:26
Bunuel wrote:

GMAT CLUB'S FRESH QUESTION.

What is the value of the positive integer n?

(1) 11 is a factor of n^2.
(2) $$\sqrt{n}$$ is a prime number

Question : Value of x = ?

Statement 1: 11 is a factor of n^2.

n may be 11 or 22 or 33 etc. hence
NOT SUFFICIENT

Statement 2:$$\sqrt{n}$$ is a prime number

i.e. n is square if any prime number i.e. n may be 4, 9, 25, 121 etc

NOT SUFFICIENT

Combining the two statements

n is a perfect square of a prime number and also n is divisible by 11 hence

n must be the square of 11 only

SUFFICIENT

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Re: What is the value of the positive integer n? &nbs [#permalink] 26 Feb 2018, 03:26
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