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Is ab > 2?

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V
Joined: 02 Sep 2009
Posts: 50623
Is ab > 2?  [#permalink]

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New post 14 Aug 2016, 06:09
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

78% (01:12) correct 22% (01:18) wrong based on 69 sessions

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Status: Stepping into my 10 years long dream
Joined: 18 Jul 2015
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Re: Is ab > 2?  [#permalink]

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New post 14 Aug 2016, 09:04
Bunuel wrote:
Is ab > 2?

(1) a = 2
(2) 0 < a/b < 1


Answer should be C.

Statement 1 : We don't know the value of b. hence, Insufficient.

Statement 2 : 0 < a/b < 1

=> a and b must be of same sign AND a must be less than b.

Hence, if we take the closest values of a and b say 1 and 2, we will get the product 2 which is not > 2.

And if we take a=1, b=5 we will get a*b > 2 Hence, insufficient.

Combining, we know a=2, b can be anything greater than 2. Hence, product will always be >2. Hence Sufficient.
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Re: Is ab > 2?  [#permalink]

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New post 23 Mar 2017, 16:43
1) a= 2

2*b > 2

For b = 1 , 0 condition fails and For b = 2 condition holds. Hence 1 is Insuff

2) 0<a/b<1

a=9 b =10 => ab = 90 > 2
a=0.1 b = 1 => ab = 0.1 < 2 Hence 2 is Insuff

Combining 1 and 2

0<2/b<1 i.e 0<2<b or b>2

a= 2 and b >2 => ab is always greater than 2. Sufficient

Hence C
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Re: Is ab > 2? &nbs [#permalink] 23 Mar 2017, 16:43
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