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# a > 0

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a > 0 [#permalink]  08 Sep 2018, 23:57
Expert's post
00:00

Question Stats:

88% (00:25) correct 11% (00:39) wrong based on 18 sessions
$$a > 0$$

 Quantity A Quantity B $$5ab$$ $$10ab$$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Kudos for R.A.E
[Reveal] Spoiler: OA

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GRE Instructor
Joined: 10 Apr 2015
Posts: 1407
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Kudos [?]: 1342 [1] , given: 8

Re: a > 0 [#permalink]  09 Sep 2018, 06:53
1
KUDOS
Expert's post
Carcass wrote:
$$a > 0$$

 Quantity A Quantity B $$5ab$$ $$10ab$$

We can solve this question using matching operations

Given:
Quantity A: 5ab
Quantity B: 10ab

Since a is POSITIVE, we can safely divide both quantities by a to get:
Quantity A: 5b
Quantity B: 10b

We can also safely divide both quantities by 5 to get:
Quantity A: b
Quantity B: 2b

Finally, let's subtract b from both quantities to get:
Quantity A: 0
Quantity B: b

Since b could be positive, negative or zero, the correct answer is D

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Joined: 18 Apr 2015
Posts: 5519
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Kudos [?]: 1113 [0], given: 5130

Re: a > 0 [#permalink]  09 Sep 2018, 07:50
Expert's post
ab or 5 ab (simplified), which one is greatest ??

we do not have any information about b. The two statements are not sufficient to determine which one is the biggest.

Regards
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Joined: 27 Aug 2018
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Kudos [?]: 16 [0], given: 7

Re: a > 0 [#permalink]  10 Sep 2018, 09:07
B can be any value, so the answer is D
Re: a > 0   [#permalink] 10 Sep 2018, 09:07
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