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Is a < b ?

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Intern
Joined: 16 Dec 2012
Posts: 12
GMAT 1: 710 Q50 V35
Is a < b ?  [#permalink]

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Updated on: 27 Jul 2018, 23:58
3
00:00

Difficulty:

85% (hard)

Question Stats:

39% (02:04) correct 61% (01:59) wrong based on 62 sessions

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Is a < b ?

1) |a-b|<|b|
2) a<0

Originally posted by Amankatyal on 27 Jul 2018, 21:52.
Last edited by chetan2u on 27 Jul 2018, 23:58, edited 1 time in total.
edited topic name and added OA
Math Expert
Joined: 02 Aug 2009
Posts: 7037
Re: Is a < b ?  [#permalink]

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27 Jul 2018, 23:53
1
1

Is a < b ?

1) |a-b|<|b|
$$a^2-2ab+b^2<b^2..........a(a-2b)<0$$
so two cases
a) $$a<0, a-2b>0....a>2b$$
b) $$a>0, a-2b<0....a<2b$$
insuff

2) a<0
we do not know anything about b
insuff

combined
a<0, so a>2b
$$a=-2, b=-4....-2>-8$$ and a>b...yes
$$a=-5, b=-4.....-5>-8$$ but a<b
insuff

E
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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 a < b ? &nbs [#permalink] 27 Jul 2018, 23:53
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