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# If n is a prime number, what is the value of n?

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Status: The journey is always more beautiful than the destination
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If n is a prime number, what is the value of n?  [#permalink]

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07 Apr 2018, 01:24
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35% (medium)

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69% (00:49) correct 31% (00:55) wrong based on 51 sessions

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If n is a prime number, what is the value of n?

(1) n^2 + n = 6.
(2) 4n is a single digit even number

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Re: If n is a prime number, what is the value of n?  [#permalink]

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07 Apr 2018, 18:42
Nixondutta wrote:
If n is a prime number, what is the value of n?

(1) n^2 + n = 6.
(2) 4n is a single digit even number

n is a PRIME number..
1) n^2+n=6...
Either $$n^2+n=6.........n(n+1)=3*2$$, so n=2..
Or $$n^2+n=6........n^2+n-6=0........n^2+3n-2n-6=0.......(n+3)(n-2)=0$$
So n can be -3 or 2.... But n is prime, so n=2
Sufficient

2) 4n is a single digit even number.
So 4n<10........n<2.5
n can be 1 or 2..
Since n is prime, so n is 2
Suff

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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: If n is a prime number, what is the value of n?  [#permalink]

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10 Apr 2018, 11:25
Nixondutta wrote:
If n is a prime number, what is the value of n?

(1) n^2 + n = 6.
(2) 4n is a single digit even number

It's given in the question that n is a prime number. we have to find out value of n.

statement 1: n^2 + n = 6

n(n+1)=6

n and n+1 are consecutive number. only n equals to 2 meet the equation true. thus , n = 2 which is a prime.

statement 2: 4n is a single digit even number. It means that 4n< 10 . so n<2.5. only prime below 2.5 is 2 . thus, statement 2 is sufficient.

Re: If n is a prime number, what is the value of n? &nbs [#permalink] 10 Apr 2018, 11:25
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