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Is |a−b| < |a| + |b| ?

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Manager
Manager
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S
Joined: 15 Dec 2015
Posts: 112

Kudos [?]: 118 [0], given: 71

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, 09:21
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A
B
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D
E

Difficulty:

  65% (hard)

Question Stats:

53% (01:10) correct 47% (01:11) wrong based on 102 sessions

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Is |a−b| < |a| + |b| ?

Statement 1: ab<0
Statement 2: \(a^b<0\)
[Reveal] Spoiler: OA

Kudos [?]: 118 [0], given: 71

Manager
Manager
avatar
B
Joined: 02 Nov 2015
Posts: 176

Kudos [?]: 26 [0], given: 121

GMAT 1: 640 Q49 V29
Premium Member CAT Tests
Re: Is |a−b| < |a| + |b| ? [#permalink]

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New post 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.

Thus answer is D.

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

Kudos [?]: 26 [0], given: 121

Expert Post
1 KUDOS received
Manhattan Prep Instructor
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S
Joined: 04 Dec 2015
Posts: 417

Kudos [?]: 258 [1], given: 61

GMAT 1: 790 Q51 V49
GRE 1: 340 Q170 V170
Re: Is |a−b| < |a| + |b| ? [#permalink]

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New post 03 Aug 2017, 13:54
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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.

Thus answer is D.

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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Kudos [?]: 258 [1], given: 61

Manager
Manager
avatar
B
Joined: 02 Nov 2015
Posts: 176

Kudos [?]: 26 [0], given: 121

GMAT 1: 640 Q49 V29
Premium Member CAT Tests
Re: Is |a−b| < |a| + |b| ? [#permalink]

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New post 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.

Thus answer is D.

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

Kudos [?]: 26 [0], given: 121

Intern
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Joined: 09 Mar 2017
Posts: 43

Kudos [?]: 3 [0], given: 23

Re: Is |a−b| < |a| + |b| ? [#permalink]

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New post 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.

Thus answer is D.

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


can you explain how you rephrased the question?

Kudos [?]: 3 [0], given: 23

Re: Is |a−b| < |a| + |b| ?   [#permalink] 17 Aug 2017, 11:01
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