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19 Dec 2018, 02:12
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
59% (02:07) correct
41%
(02:31)
wrong
based on 127
sessions
History
Date
Time
Result
Not Attempted Yet
If \(|2x-1| < 5\), is \(|x|<2\) ?
(1) \(x^3 < x^2\)
(2) \(x < 0\)
Kudos for the best explanation
(1) \(x^3 < x^2\)
(2) \(x < 0\)
Kudos for the best explanation
Manat
Joined: 11 Jun 2018
Last visit: 22 Feb 2020
Posts: 121
Own Kudos:
Given Kudos: 79
Schools: DeGroote "22 (II) Molson '22 (A)
GMAT 1: 500 Q39 V21
19 Dec 2018, 07:59
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chetan2u VeritasKarishma Bunuel amanvermagmat gmatbusters
Can the experts please throw some light on this DS Question
Can the experts please throw some light on this DS Question
19 Dec 2018, 08:14
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Manat
If \(|2x-1| < 5\), is \(|x|<2\) ?
(1) \(x^3 < x^2\)
(2) \(x < 0\)
We are given \(|2x-1| < 5\), which is \(-5<2x-1 < 5 =>-5+1<2x-1+1<5+1........-4<2x<6......-2<x<3\).
So, this range is certain.
We are asked \(|x|<2........-2<x<2\)?
Ofcourse this translates into 'Is \(2\leq{x}<3\)?', as we know 2<x<3
(1) \(x^3 < x^2\)...
\(x^3 < x^2....x^3-x^2<0....x^2(x-1)<0\)
x^2 is surely positive, so x-1<0 or x<0
so ans is YES, as \(2\leq{x}<3\) is not true.
Sufficient
(2) \(x < 0\)
This means ans is YES, as \(2\leq{x}<3\) is not true.
Sufficient
D
