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# Is the integer n a prime number?

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Re: Is the integer n a prime number? [#permalink]
AbdurRakib wrote:
Is the integer n a prime number?

(1) 24 $$\leq$$ n $$\leq$$ 28
(2) n is not divisible by 2 or 3

OG Q 2017 New Question(Book Question: 218)

None of the integers in statement 1) are prime

24 is divisible by 2
25 is divisible by 5
26 is divisible by 2
27 is divisible by 3
28 is divisible by 2

We get a sufficient answer that n is not prime.

Statement 2)

Well 5 is a prime and not divisible by neither 2 nor 3

25 is not a prime and is not divisible by neither 2 nor 3.

Insufficient.

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Re: Is the integer n a prime number? [#permalink]
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Is the integer n a prime number?

(1) 24 $$\leq$$ n $$\leq$$ 28

n can be 24, 25, 26, 27, 28. None of these numbers are prime. SUFFICIENT.

(2) n is not divisible by 2 or 3

n could be prime or not prime. For example, n could be 7 (prime) or 55 (not prime)
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Re: Is the integer n a prime number? [#permalink]
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AbdurRakib wrote:
Is the integer n a prime number?

(1) 24 $$\leq$$ n $$\leq$$ 28
(2) n is not divisible by 2 or 3

OG Q 2017 New Question(Book Question: 218)

Solution:

Question Stem Analysis:

We need to determine whether integer n is a prime number.

Statement One Alone:

We see that n could be 24, 25, 26, 27, or 28. Since none of these numbers are prime, the answer to the question is no. Statement one alone is sufficient.

Statement Two Alone:

Statement two alone is not sufficient. For example, if n = 5, then n is a prime. However, if n = 35, then n is not a prime. Statement two alone is not sufficient.

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Re: Is the integer n a prime number? [#permalink]
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Re: Is the integer n a prime number? [#permalink]
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