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Is x positive? (1) 0, on a number line, is close to x+10 than to x.

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Is x positive? (1) 0, on a number line, is close to x+10 than to x.  [#permalink]

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New post 18 Dec 2017, 07:45
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Difficulty:

  55% (hard)

Question Stats:

51% (01:16) correct 49% (01:08) wrong based on 53 sessions

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Is x positive?

(1) 0, on a number line, is close to x+10 than to x.
(2) 0, on a number line, is close to x than x-10.

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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 positive? (1) 0, on a number line, is close to x+10 than to x.  [#permalink]

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New post 18 Dec 2017, 08:14
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Is x positive?
(1) 0, on a number line, is close to x+10 than to x.
Hence mod(x+10)<mod (x)
Squaring we get, x^2+20x+100<x^2
or, 20x+100<0
x <-5
hence sufficient.
(2) 0, on a number line, is close to x than x-10.
hence mod(x)<mod(x-10)
squaring
x^2<x^2-20x+100
solving , x<5
but x can be 4 or -10
hence insufficient.

Hence Answer is A
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Re: Is x positive? (1) 0, on a number line, is close to x+10 than to x. &nbs [#permalink] 18 Dec 2017, 08:14
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