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# If a < b, is a > 0? (1) a^2 < b^2 (2) a^2 < ab < b^2

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Math Expert
Joined: 02 Sep 2009
Posts: 52294
If a < b, is a > 0? (1) a^2 < b^2 (2) a^2 < ab < b^2  [#permalink]

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10 Aug 2018, 02:21
00:00

Difficulty:

85% (hard)

Question Stats:

43% (01:40) correct 57% (01:41) wrong based on 60 sessions

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If a < b, is a > 0?

(1) a^2 < b^2

(2) a^2 < ab < b^2

_________________
Manager
Joined: 06 May 2018
Posts: 58
Re: If a < b, is a > 0? (1) a^2 < b^2 (2) a^2 < ab < b^2  [#permalink]

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10 Aug 2018, 08:29
1
If a < b, is a > 0?

(1) a^2 < b^2

(2) a^2 < ab < b^2

Choosing different values for (1): a=-2 < b=3 or a=2 < b=3 Hence, not sufficient

Choosing different values for (2): a=2 < 2*3 < 3 but a=-2 <-2*3 <3 violates the statement. Hence, B is sufficient
Intern
Joined: 23 Aug 2017
Posts: 26
Re: If a < b, is a > 0? (1) a^2 < b^2 (2) a^2 < ab < b^2  [#permalink]

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10 Aug 2018, 13:00
Bunuel wrote:
If a < b, is a > 0?

(1) a^2 < b^2

(2) a^2 < ab < b^2

1) any square number hide its signal. Not sufficient
2) ab > 0, so a > 0. Sufficient
Re: If a < b, is a > 0? (1) a^2 < b^2 (2) a^2 < ab < b^2 &nbs [#permalink] 10 Aug 2018, 13:00
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