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Is P a prime number?

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Is P a prime number?  [#permalink]

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New post 04 Dec 2016, 18:29
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Difficulty:

  55% (hard)

Question Stats:

39% (00:42) correct 61% (00:48) wrong based on 51 sessions

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Is P a prime number, if P is an integer?

(1) P has odd number of factors.
(2) P = R^2

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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: Is P a prime number?  [#permalink]

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New post 04 Dec 2016, 18:44
1
Great Question chetan2u

Here is my solution ->

Given info=> P is an integer
We need to see if its prime or not

Statement 1
P has odd number of factors.
Rule -> A perfect square has odd number of factors
And conversely -> Any number that has odd number of factors must be a perfect square.
So So P can be => {1,4,9,16,25}
Hence P=x^2 where x is an integer.
Its Safe to say that P will never be prime.
Hence Sufficient

Statement 2
Here P=R^2
But no clue of R is given.
If R=√2 => P=2 which is prime
if R=2 => P=4 which is not a prime number.

Hence This statement is not sufficient.

Hence A



Also Can you post a solution to this one-> the-units-digit-of-n-p-and-n-q-are-6-and-4-respectively-what-is-the-229444.html

Regards
Stone Cold

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Re: Is P a prime number?  [#permalink]

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New post 08 Jan 2019, 03:29
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Is P a prime number? &nbs [#permalink] 08 Jan 2019, 03:29
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