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# If |ab|≠ab, is a>b?

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Manager
Joined: 18 Feb 2019
Posts: 116
Location: India
GMAT 1: 490 Q47 V13
GPA: 3.6

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06 Mar 2019, 20:49
00:00

Difficulty:

(N/A)

Question Stats:

75% (01:26) correct 25% (02:50) wrong based on 4 sessions

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If |ab|≠ab, is a>b?

I. |a|>b^3
II. a^2<b
Intern
Joined: 15 Jan 2019
Posts: 36
Location: Pakistan
Concentration: Marketing, Human Resources
GPA: 3.12
WE: Other (Other)
Re: If |ab|≠ab, is a>b?  [#permalink]

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06 Mar 2019, 21:02
Let’s solve step by step

First realise that this is a Yes/No question

If l ab l ≠ ab
Means that one of these signs is a negative sign.
Since the value of modulus is not equal to the normal value.

Statement 1) this tells us that l a l > B^3
Now this statement does not tell anything about the sign of a, a could be a -ve value and after modulus it is bigger than B^3
For example
-83 < 2^3
But |-83| > 2^3

Statement 2) this tells us that a^2 < b
Now if “a” even after being squared is less than b it clearly shows that a < b and we can easily answer this question (is a > b?) as NO

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Math Expert
Joined: 02 Sep 2009
Posts: 53716
Re: If |ab|≠ab, is a>b?  [#permalink]

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06 Mar 2019, 21:37
kiran120680 wrote:
If |ab|≠ab, is a>b?

I. |a|>b^3
II. a^2<b

Discussed here: https://gmatclub.com/forum/if-ab-ab-is- ... l#p1900871
_________________
Re: If |ab|≠ab, is a>b?   [#permalink] 06 Mar 2019, 21:37
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# If |ab|≠ab, is a>b?

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