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# Is the integer n a prime number?

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

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01 Jul 2016, 04:05
1
12
00:00

Difficulty:

25% (medium)

Question Stats:

69% (01:01) correct 31% (01:03) wrong based on 561 sessions

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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)

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Md. Abdur Rakib

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

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01 Jul 2016, 07:19
A

1)none of the numbers 24,25,26,27,28 are prime.so suff

2) there are many numbers not divisible by 2 or 3 foe e.g. 55 or 7(former is not prime latter is)
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Re: Is the integer n a prime number?  [#permalink]

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22 Nov 2016, 22:21
Great Official Question
Here we need to find whether the concern integer n is prime or not
Statement 1
[24,28]=n
n=> 24=> divisible by 2
n=> 25=> divisible by 5
n=26 => divisible by 2
n=27 => divisible by 3
n=28 => divisible by 2
hence n is never prime
Hence Sufficient

Statement 2
n=5
n=25
taking the above two test cases we can discard the statement.
P.S=> This statement is just saying that 2 and 3 are not prime factors of n.

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

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22 Oct 2018, 11:46
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.

Re: Is the integer n a prime number?   [#permalink] 22 Oct 2018, 11:46
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