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# Is a^7b^3c^4 > 0? (1) a > 0 (2) b > 0

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Math Expert
Joined: 02 Sep 2009
Posts: 59674
Is a^7b^3c^4 > 0? (1) a > 0 (2) b > 0  [#permalink]

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26 Nov 2019, 01:12
00:00

Difficulty:

55% (hard)

Question Stats:

23% (00:45) correct 77% (00:46) wrong based on 29 sessions

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Is $$a^7b^3c^4 > 0$$?

(1) $$a > 0$$
(2) $$b > 0$$

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Is a^7b^3c^4 > 0? (1) a > 0 (2) b > 0  [#permalink]

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Updated on: 26 Nov 2019, 01:44
Bunuel wrote:
Is $$a^7b^3c^4 > 0$$?

(1) $$a > 0$$
(2) $$b > 0$$

#1
a>0
b not know insufficient
#2
b>0
a not know
insufficient
from 1 &2
both a.b are >0 so $$a^7b^3c^4 > 0$$
sufficeint
but value of c is not know
IMO E

Originally posted by Archit3110 on 26 Nov 2019, 01:22.
Last edited by Archit3110 on 26 Nov 2019, 01:44, edited 1 time in total.
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Re: Is a^7b^3c^4 > 0? (1) a > 0 (2) b > 0  [#permalink]

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26 Nov 2019, 01:38
C can be 0. So this is E

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Joined: 30 Oct 2019
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Re: Is a^7b^3c^4 > 0? (1) a > 0 (2) b > 0  [#permalink]

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27 Nov 2019, 04:06
Statement (1): a>0
b can still be positive/negative, and make the whole equation negative, INSUFFICIENT

Statement (2): b>0
same thing with a, can be positive/negative, INSUFFICIENT

Both together: a>0 b>0
c is always positive because its value is elevated to an even power, even if it is 0, we have proof that both a and b are positive and >0, so the equation will always give a positive value.
SUFFICIENT

C
Re: Is a^7b^3c^4 > 0? (1) a > 0 (2) b > 0   [#permalink] 27 Nov 2019, 04:06
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# Is a^7b^3c^4 > 0? (1) a > 0 (2) b > 0

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