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# Is a>b? (1) a^2>b^2 (2) a·b>0

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Senior Manager
Joined: 21 Oct 2013
Posts: 411
Is a>b? (1) a^2>b^2 (2) a·b>0  [#permalink]

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11 Jun 2014, 13:48
1
5
00:00

Difficulty:

45% (medium)

Question Stats:

60% (01:09) correct 40% (01:16) wrong based on 118 sessions

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Is a>b?

(1) a^2 > b^2
(2) ab > 0
Math Expert
Joined: 02 Sep 2009
Posts: 58469
Re: Is a>b? (1) a^2>b^2 (2) a·b>0  [#permalink]

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11 Jun 2014, 14:01
2
2
Is a>b?

30 second approach:

(1) a^2 > b^2 --> |a| > |b|. This means that a is further from 0 than b is. Not sufficient.

(2) ab > 0. This means that a and b have the same sign. Not sufficient.

(1)+(2) a and b have the same sign and a is further from 0 than b:
------------0---b---a------ a > b
---a---b---0--------------- b > a.

Not sufficient.

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Re: Is a>b? (1) a^2>b^2 (2) a·b>0  [#permalink]

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25 Nov 2018, 10:09
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Re: Is a>b? (1) a^2>b^2 (2) a·b>0   [#permalink] 25 Nov 2018, 10:09
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