If integer p is greater than 1, is p a prime number? : Data Sufficiency (DS)

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If integer p is greater than 1, is p a prime number?

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Math Expert

Joined: 02 Sep 2009

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If integer p is greater than 1, is p a prime number? [#permalink]

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05 Jul 2018, 00:35

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If integer p is greater than 1, is p a prime number?

(1) p is odd.

(2) The only positive factors of p are 1 and p.

Spoiler: OA

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Re: If integer p is greater than 1, is p a prime number? [#permalink]

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05 Jul 2018, 00:48

1 stm: Obviously not suff.
2 stm: we can formulate the definition of a prime number: An integer with 2 positive factors 1 and itself. sufficient

In My Opinion
Ans: B

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Re: If integer p is greater than 1, is p a prime number? [#permalink]

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05 Jul 2018, 08:19

Bunuel wrote:

If integer p is greater than 1, is p a prime number?

(1) p is odd.

(2) The only positive factors of p are 1 and p.

Given p>1 and p is an integer.

Question stem:- Is p a prime number

Statement-1:- p is odd
So, P=3,5,7,9,11,13,15..etc.
P is prime when p=3,5,7,11 etc and p is not prime when p=9,15 etc.
hence insufficient.
Statement-2:- The only positive factors of p are 1 and p.
It implies that p is a prime number.
Hence, sufficient.

Ans. (B)
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Re: If integer p is greater than 1, is p a prime number? [#permalink]

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06 Jul 2018, 04:01

Bunuel wrote:

If integer p is greater than 1, is p a prime number?

(1) p is odd.

(2) The only positive factors of p are 1 and p.

(1) p is odd.

P = 3

P =15

Insufficient

(2) The only positive factors of p are 1 and p.

This is the definition of prime number.

2,3,5,7...etc all have 2 factors 1 & itself

Sufficent

Answer: B