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# If |ab| > ab, which of the following must be true?

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Senior SC Moderator
Joined: 14 Nov 2016
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If |ab| > ab, which of the following must be true? [#permalink]

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Updated on: 19 Jan 2017, 23:37
2
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Difficulty:

5% (low)

Question Stats:

94% (00:33) correct 6% (00:11) wrong based on 109 sessions

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If $$|ab| > ab$$, which of the following must be true?

I. $$a < 0$$
II. $$b < 0$$
III. $$ab < 0$$

A. I only
B. II only
C. III only
D. I and III
E. II and III

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Originally posted by hazelnut on 19 Jan 2017, 20:22.
Last edited by Bunuel on 19 Jan 2017, 23:37, edited 1 time in total.
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Re: If |ab| > ab, which of the following must be true? [#permalink]

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19 Jan 2017, 21:17
C.

|ab|>ab implies that ab is -ve

So, either a is -ve or b is -ve but not both

if one of a and b is -ve then ab must be -ve.
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Joined: 07 Dec 2016
Posts: 11
Re: If |ab| > ab, which of the following must be true? [#permalink]

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19 Jan 2017, 22:02
C.
ab<0 that means either a<0 or b<0

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Re: If |ab| > ab, which of the following must be true? [#permalink]

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03 Apr 2017, 11:07
Absolute value of an integer is always positive.
Thus we should consider the case when the integers can be negative as well.

Either of the two variables is negative because if both are then |ab|=ab.
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If |ab| > ab, which of the following must be true? [#permalink]

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03 Apr 2017, 13:14
Has to be C. A & B do not tell the sign of ab
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Re: If |ab| > ab, which of the following must be true? [#permalink]

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18 May 2018, 19:51
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If |ab| > ab, which of the following must be true?   [#permalink] 18 May 2018, 19:51
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