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# Is |a−b| < |a| + |b| ?

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Manager
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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03 Aug 2017, 09:21
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Difficulty:

65% (hard)

Question Stats:

53% (01:10) correct 47% (01:11) wrong based on 106 sessions

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Is |a−b| < |a| + |b| ?

Statement 1: ab<0
Statement 2: $$a^b<0$$
[Reveal] Spoiler: OA
Manager
Joined: 02 Nov 2015
Posts: 174
GMAT 1: 640 Q49 V29
Re: Is |a−b| < |a| + |b| ? [#permalink]

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03 Aug 2017, 10:00
The question is basically asking whether A and B are of opposite signs??

Statement 1: A and B are of opposite sign.
Sufficient
Statement 2: A is negative and B is odd number.
So sufficient.

Sent from my Lenovo TAB S8-50LC using GMAT Club Forum mobile app
Manhattan Prep Instructor
Joined: 04 Dec 2015
Posts: 485
GMAT 1: 790 Q51 V49
GRE 1: 340 Q170 V170
Re: Is |a−b| < |a| + |b| ? [#permalink]

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03 Aug 2017, 13:54
1
KUDOS
Expert's post
kumarparitosh123 wrote:
The question is basically asking whether A and B are of opposite signs??
Statement 2: A is negative and B is odd number.
So sufficient.

Sent from my Lenovo TAB S8-50LC using GMAT Club Forum mobile app

The second one actually isn't sufficient - A and B could both be negative! For instance, if A = -1 and B = -3 (which is odd), the answer to the question is 'yes'. If A = -1 and B = 3, the answer to the question is 'no' (since |a-b| = |a| + |b|).
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Chelsey Cooley | Manhattan Prep Instructor | Seattle and Online

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Manager
Joined: 02 Nov 2015
Posts: 174
GMAT 1: 640 Q49 V29
Re: Is |a−b| < |a| + |b| ? [#permalink]

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06 Aug 2017, 11:29
ccooley wrote:
kumarparitosh123 wrote:
The question is basically asking whether A and B are of opposite signs??
Statement 2: A is negative and B is odd number.
So sufficient.

Sent from my Lenovo TAB S8-50LC using GMAT Club Forum mobile app

The second one actually isn't sufficient - A and B could both be negative! For instance, if A = -1 and B = -3 (which is odd), the answer to the question is 'yes'. If A = -1 and B = 3, the answer to the question is 'no' (since |a-b| = |a| + |b|).

Thanks a ton Sir for correcting me !!

+1 for you .

Sent from my Lenovo TAB S8-50LC using GMAT Club Forum mobile app
Intern
Joined: 09 Mar 2017
Posts: 42
Re: Is |a−b| < |a| + |b| ? [#permalink]

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17 Aug 2017, 11:01
kumarparitosh123 wrote:
The question is basically asking whether A and B are of opposite signs??

Statement 1: A and B are of opposite sign.
Sufficient
Statement 2: A is negative and B is odd number.
So sufficient.

Sent from my Lenovo TAB S8-50LC using GMAT Club Forum mobile app

can you explain how you rephrased the question?
Re: Is |a−b| < |a| + |b| ?   [#permalink] 17 Aug 2017, 11:01
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