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# If a and b are integers, and a·b≠0, and ab<0, then which of the follow

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Manager
Joined: 30 May 2018
Posts: 82
GMAT 1: 620 Q42 V34
WE: Corporate Finance (Commercial Banking)
If a and b are integers, and a·b≠0, and ab<0, then which of the follow  [#permalink]

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11 Jun 2019, 07:51
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If a and b are integers, and a·b≠0, and $$a^b$$<0, then which of the following must be true?

I) a<0
II) b<0
III) b is odd.

A) I only
B) II only
C) III only
D) I and II only
E) I and III only
VP
Joined: 31 Oct 2013
Posts: 1375
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If a and b are integers, and a·b≠0, and ab<0, then which of the follow  [#permalink]

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12 Jun 2019, 16:51
MBA20 wrote:
If a and b are integers, and a·b≠0, and $$a^b$$<0, then which of the following must be true?

I) a<0
II) b<0
III) b is odd.

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

Note; a and b are integers but we don't know their sign.

$$a^b$$<0

Inequality indicates that a has to be negative. Possible scenarios are shown below;

a = -2

b = 3

or

a = -5

b = -3

For all these values , inequality holds true.

In both cases , a is negative and b is odd.

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Re: If a and b are integers, and a·b≠0, and ab<0, then which of the follow  [#permalink]

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17 Jun 2019, 17:28
MBA20 wrote:
If a and b are integers, and a·b≠0, and $$a^b$$<0, then which of the following must be true?

I) a<0
II) b<0
III) b is odd.

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

In order for a^b to be less than zero, a must be less than zero and b must be odd.

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Re: If a and b are integers, and a·b≠0, and ab<0, then which of the follow   [#permalink] 17 Jun 2019, 17:28
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