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# X and Y are integers and Y is not 0. Is X negative? (1) Y-1

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DS Forum Moderator
Joined: 21 Aug 2013
Posts: 1412
Location: India
X and Y are integers and Y is not 0. Is X negative? (1) Y-1  [#permalink]

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16 Aug 2018, 19:29
00:00

Difficulty:

55% (hard)

Question Stats:

47% (01:27) correct 53% (01:20) wrong based on 55 sessions

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X and Y are integers and Y is not 0. Is X negative?

(1) Y-1 > -2

(2) |X/Y| = X/Y

(Inspired by a Bunuel's question)

Posted from my mobile device
Math Expert
Joined: 02 Aug 2009
Posts: 7112
Re: X and Y are integers and Y is not 0. Is X negative? (1) Y-1  [#permalink]

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16 Aug 2018, 19:44
X and Y are integers and Y is not 0. Is X negative?

(1) Y-1 > -2
So Y>-1 but y cannot be 0, so Y$$\geq{1}$$
Insufficient

(2) |X/Y| = X/Y
So X/Y>0
This means both X and Y are of same sign OR X=0
Insufficient

Combined..
Both are of same sign and Y is positive, so X is 0 or >0
Ans is NO in both cases
Sufficient

C
_________________

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: X and Y are integers and Y is not 0. Is X negative? (1) Y-1 &nbs [#permalink] 16 Aug 2018, 19:44
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