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# If a < -1, is b between 0 and 1?

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Math Expert
Joined: 02 Sep 2009
Posts: 50585
If a < -1, is b between 0 and 1?  [#permalink]

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23 Nov 2017, 05:33
00:00

Difficulty:

55% (hard)

Question Stats:

70% (01:55) correct 30% (02:12) wrong based on 45 sessions

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If a < -1, is b between 0 and 1?

(1) -b < -a
(2) -1 < ab < 0

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Director
Joined: 06 Jan 2015
Posts: 512
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)
Re: If a < -1, is b between 0 and 1?  [#permalink]

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23 Nov 2017, 05:49
Bunuel wrote:
If a < -1, is b between 0 and 1?

(1) -b < -a
(2) -1 < ab < 0

If a < -1

1) -b < -a
a=-2 and b=-3

Gives No

Multiply both sides by -ve b > a

b=.8 and a=-2

Gives Yes

2)-1 < ab < 0

We know that

a < -1

-1 < ab < 0 to be true b < 0.5 - 0.1

Hence B.

Please let me know if I'm wrong somewhere
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आत्मनॊ मोक्षार्थम् जगद्धिताय च

Resource: GMATPrep RCs With Solution

Manager
Joined: 24 Nov 2016
Posts: 152
Re: If a < -1, is b between 0 and 1?  [#permalink]

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23 Nov 2017, 11:52
Bunuel wrote:
If a < -1, is b between 0 and 1?

(1) -b < -a
(2) -1 < ab < 0

Given: a is a negative smaller than -1
(1) -b < -a :
If a = -2 and b = 1.5 then, (-1.5) < -(-2) and b is not between 0 and 1, statement is false.
But if a = -2 and b = 0.5 then, (-0.5) < -(-2), statement is true;
(2) -1 < ab < 0 : since a is a negative, b must be a positive to make the condition true;
Re: If a < -1, is b between 0 and 1? &nbs [#permalink] 23 Nov 2017, 11:52
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