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Is |a| + |b| >|a+b| ?

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Joined: 15 Dec 2015
Posts: 120
GMAT 1: 660 Q46 V35
GPA: 4
WE: Information Technology (Computer Software)
Is |a| + |b| >|a+b| ? [#permalink]

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New post 03 Aug 2017, 09:30
2
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

68% (00:46) correct 32% (01:06) wrong based on 57 sessions

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Is \(|a| + |b| >|a+b|\) ?

(1) \(|ab| > ab\)

(2) \(\frac{a}{b}<0\)
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Joined: 19 Mar 2014
Posts: 973
Location: India
Concentration: Finance, Entrepreneurship
GPA: 3.5
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Re: Is |a| + |b| >|a+b| ? [#permalink]

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New post 03 Aug 2017, 09:41
Is \(|a| + |b| >|a+b|\) ?

From above we can see that basically if we come to know that either a or b is negative we can answer the question as yes.

(1) \(|ab| > ab\)

This means either a or b is negative, based on this we can answer the question.

Hence, (1) ===== is SUFFICIENT

(2) \(\frac{a}{b}<0\)

Once again, this tells us that either a or b is negative, once again this information is sufficient.

Hence, (2) ===== is SUFFICIENT

Hence, Answer is D

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Re: Is |a| + |b| >|a+b| ?   [#permalink] 03 Aug 2017, 09:41
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