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# Is |a| > |b|? (1) a + b< -(a + b) (2) a > b

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Joined: 23 Feb 2015
Posts: 1254
Is |a| > |b|? (1) a + b< -(a + b) (2) a > b  [#permalink]

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Updated on: 08 Mar 2019, 00:38
1
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Difficulty:

55% (hard)

Question Stats:

53% (01:51) correct 47% (02:10) wrong based on 19 sessions

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Is $$|a| > |b|$$?

(1) $$a + b < -(a + b)$$

(2) $$a > b$$

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Originally posted by Asad on 07 Mar 2019, 14:10.
Last edited by Bunuel on 08 Mar 2019, 00:38, edited 1 time in total.
Renamed the topic and edited the question.
Math Expert
Joined: 02 Aug 2009
Posts: 7958
Re: Is |a| > |b|? (1) a + b< -(a + b) (2) a > b  [#permalink]

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07 Mar 2019, 19:15
$$Is |a|>|b|?$$
so we are looking for whether a is farther away from 0 or b is farther away from 0.
1) $$a+b<-(a+b)$$...2(a+b)<0...we cannot say anything.
2) $$a>b$$...both are of same sign, we can answer yes or no, otherwise not possible to answer.Both positive |a|>|b|, and if both negative |a|<|b|

Combined...a+b<0...
If a>0, b has to be negative and |b|>|a|.
If a<0, b also will be negative, and if both are negative we know |B|>|a|, since a>b..
In both cases answer is NO..
Sufficient

C
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Re: Is |a| > |b|? (1) a + b< -(a + b) (2) a > b   [#permalink] 07 Mar 2019, 19:15
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# Is |a| > |b|? (1) a + b< -(a + b) (2) a > b

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