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# What is the value of the non-positive integer n?

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Manager
Status: The journey is always more beautiful than the destination
Affiliations: Computer Science
Joined: 24 Apr 2017
Posts: 56
Location: India
Concentration: Statistics, Strategy
GMAT 1: 570 Q40 V28
GPA: 3.14
What is the value of the non-positive integer n?  [#permalink]

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07 Apr 2018, 02:31
1
00:00

Difficulty:

25% (medium)

Question Stats:

75% (00:46) correct 25% (01:09) wrong based on 28 sessions

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What is the value of the non-positive integer n?

(1) The average of the square of n and 'n' is 6.
(2) n < 1

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Joined: 02 Aug 2009
Posts: 6509
Re: What is the value of the non-positive integer n?  [#permalink]

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07 Apr 2018, 18:41
Nixondutta wrote:
What is the value of the non-positive integer n?

(1) The average of the square of n and 'n' is 6.
(2) n < 1

We are looking for non Positive integer, so n will be equal to 0 or <0..
Therefore statement II does not add anything to it by giving n<1..

Our answer will be A or E...

Statement I..
AVG of n^2 and n is 6..
So $$n^2+n=2*6=12.........n(n+1)=12=4*3=-4*-3$$
So n is -4...
Suff

A
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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: What is the value of the non-positive integer n? &nbs [#permalink] 07 Apr 2018, 18:41
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