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Is |x|>x?

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Is |x|>x?  [#permalink]

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New post 21 Feb 2017, 07:54
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

46% (00:47) correct 54% (00:47) wrong based on 145 sessions

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Is |x|>x?
(1) x>|y|
(2) x is a non-negative integer

Self made

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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: Is |x|>x?  [#permalink]

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New post 21 Feb 2017, 08:44
chetan2u wrote:
Is |x|>x?
(1) x>|y|
(2) x is a non-negative integer

Self made


We have to find if x is negative or not.

(1) |y| is postive => x is positive => equal to |x| sufficient
(2) Also sufficient x=0 or is positive => equal to |x| sufficient

Answer D
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Re: Is |x|>x?  [#permalink]

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New post 21 Feb 2017, 10:10
1
Interesting, but it can be solved too fast because st 1 and 2 are almost the same
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Re: Is |x|>x?  [#permalink]

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New post 21 Feb 2017, 10:14
1
|x| > x only for negative numbers.

1) x is +ve: Sufficient

2) X is non negative - Sufficient

Answer D
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Re: Is |x|>x?  [#permalink]

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New post 21 Feb 2017, 17:45
chetan2u wrote:
Is |x|>x?
(1) x>|y|
(2) x is a non-negative integer

Self made


How A is Sufficient as we dont know the value of Y?
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Re: Is |x|>x?  [#permalink]

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New post 21 Feb 2017, 18:15
manjugmat wrote:
chetan2u wrote:
Is |x|>x?
(1) x>|y|
(2) x is a non-negative integer

Self made


How A is Sufficient as we dont know the value of Y?



Hi

Whatever be the value of y, |y| will be positive or 0 ..
Say it is least that is 0, so x>0..
And if x>0, x=|x|... So answer will be NO always
Thus sufficient

Hope it helps
_________________

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: Is |x|>x?  [#permalink]

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New post 22 Feb 2017, 01:59
Option D

Is |X| > X ?

I: X > |Y|
: X is positive.
: Is |X| > X ? NO; Sufficient.

II: X is non-negative.
: X > 0.
: Is |X| > X ? NO; Sufficient.
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Re: Is |x|>x?  [#permalink]

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New post 02 Nov 2017, 14:37
is |x|>x ? =>
we need to check if
x= -ve => |x|>x True
x= +ve or 0 => |x| =x

1) x>|y| =>
as value of mod of any number is positive => x is +ve so |x|=x =>|x|> x false
Sufficient

2) x is non-negative integer => x can be 0,1,2,3............ => |x|=x
=> |x|> x false
Sufficient

Answer: D
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Re: Is |x|>x? &nbs [#permalink] 02 Nov 2017, 14:37
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