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If |x|+|y|>4|x| and x and y are non-zero integers, then which of the f

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If |x|+|y|>4|x| and x and y are non-zero integers, then which of the f  [#permalink]

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New post 06 Feb 2019, 19:02
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  55% (hard)

Question Stats:

53% (01:39) correct 48% (02:13) wrong based on 40 sessions

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If |x|+|y|>4|x| and x and y are non-zero integers, then which of the following cannot be the value of y?
(A) -4
(B) 3
(C) 5
(D) 6
(E) 10

New question!!...

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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
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html


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If |x|+|y|>4|x| and x and y are non-zero integers, then which of the f  [#permalink]

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New post 06 Feb 2019, 21:38
2
Important relation to note here is |x|+|y| > |x+y|
As x and y are non zero integers, min value of x is 1.
The expression can be written as 1 + |y| > 4
|y| > 3
either y > 3 or y < -3

Y cannot be equal to 3.

B is the answer.
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Re: If |x|+|y|>4|x| and x and y are non-zero integers, then which of the f  [#permalink]

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New post 08 Feb 2019, 08:09
chetan2u wrote:
If |x|+|y|>4|x| and x and y are non-zero integers, then which of the following cannot be the value of y?
(A) -4
(B) 3
(C) 5
(D) 6
(E) 10

New question!!...

|x|+|y|>4|x|

y>3
IMO b is 3 ; cannot be the value of y ..
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Re: If |x|+|y|>4|x| and x and y are non-zero integers, then which of the f   [#permalink] 08 Feb 2019, 08:09
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If |x|+|y|>4|x| and x and y are non-zero integers, then which of the f

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