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

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

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New post 23 Nov 2017, 06:33
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

64% (01:35) correct 36% (01:30) wrong based on 39 sessions

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Senior Manager
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Joined: 06 Jan 2015
Posts: 445
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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New post 23 Nov 2017, 06:49
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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Re: If a < -1, is b between 0 and 1?  [#permalink]

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New post 23 Nov 2017, 12:52
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;
Answer is (B).
Re: If a < -1, is b between 0 and 1? &nbs [#permalink] 23 Nov 2017, 12:52
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