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# If N is a positive integer greater than 1, what is the value of N?

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Current Student
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If N is a positive integer greater than 1, what is the value of N?  [#permalink]

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28 Apr 2017, 17:39
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45% (medium)

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63% (01:14) correct 37% (01:41) wrong based on 76 sessions

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If N is a positive integer greater than 1, what is the value of N?

A)N has exactly N factors.
B)Both N and N+3 are Primes.

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Re: If N is a positive integer greater than 1, what is the value of N?  [#permalink]

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28 Apr 2017, 18:07
If N is a positive integer greater than 1, what is the value of N?

A)N has exactly N factors.
Only possible values 1 and 2, but N is greater than 1; hence only possible solution is 2. Sufficient

B)Both N and N+3 are Primes.
Only possible value for N is 2 (Namely 2 and 5 are primes). Sufficient
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Posts: 7212
Re: If N is a positive integer greater than 1, what is the value of N?  [#permalink]

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28 Apr 2017, 18:15
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[quote="stonecold"]If N is a positive integer greater than 1, what is the value of N?

A)N has exactly N factors.
What does it exactly mean?
It means that all number till N are factors of N...
So if you look only 1 has 1 factor and 2 has 2 factors and thereafter, all have less than N factors
N>1, so our answer is 2

Sufficient

B)Both N and N+3 are Primes.
Except 2, all prime numbers are ODD.
Hence N+3 has to be odd, meaning N will be even.
And we know only even PRIME number is 2.
Sufficient

D
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
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3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: If N is a positive integer greater than 1, what is the value of N?  [#permalink]

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04 Sep 2018, 06:35
stonecold wrote:
If N is a positive integer greater than 1, what is the value of N?

A)N has exactly N factors.
B)Both N and N+3 are Primes.

Question : WHat is the value of N?

Statement 1: N has exactly N factors
N may be only 2 for given fact that N is greater than 1

SUFFICIENT

Statement 2: Both N and N+3 are Primes

For any Integer Value of N, One of the N and N+3 will be EVEN and other will be ODD
since both are Prime and 2 is the only even Prime number therefore N must be 2 hence

SUFFICIENT

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Re: If N is a positive integer greater than 1, what is the value of N? &nbs [#permalink] 04 Sep 2018, 06:35
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