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Is x < 0 ? (1) x^2 < 0.5 (2) |x - 0.1| = 0.05

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Is x < 0 ? (1) x^2 < 0.5 (2) |x - 0.1| = 0.05  [#permalink]

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New post 29 Oct 2018, 06:12
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Question Stats:

64% (01:13) correct 36% (01:08) wrong based on 25 sessions

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Is x < 0 ?

(1) x^2 < 0.5
(2) |x - 0.1| = 0.05

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Is x < 0 ? (1) x^2 < 0.5 (2) |x - 0.1| = 0.05  [#permalink]

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New post 29 Oct 2018, 06:30
1
AnisMURR wrote:
Is x < 0 ?

A) x^2 < 0.5
B) |x-0.1|=0.05


Question: Is x < 0?

Statement 1: x^2 < 0.5

i.e. -0.707 < x < 0.707 hence

NOT SUFFICIENT

Statement 2: |x-0.1|=0.05

i.e. x = 0.05 or 0.15 hence
SUFFICIENT



Answer: Option B
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Re: Is x < 0 ? (1) x^2 < 0.5 (2) |x - 0.1| = 0.05  [#permalink]

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New post 29 Oct 2018, 08:42
Is x < 0 ?

(1) x^2 < 0.5
(2) |x - 0.1| = 0.05

from stmnt1:
x^2<(5/10)
x^2<(1/2)
squaring both sides we get x=+/- (1/sq rt2)
so no

frm stmnt 2:
|x - 0.1| = 0.05

(x=0.15)
and -x+.1=0.05
=> x= 0.05
both values of x are >0 , hence sufficient , option B is correct..
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Re: Is x < 0 ? (1) x^2 < 0.5 (2) |x - 0.1| = 0.05 &nbs [#permalink] 29 Oct 2018, 08:42
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