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# If a>b>0

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Intern
Joined: 04 Feb 2018
Posts: 10
Location: India

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01 Oct 2018, 21:38
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Difficulty:

95% (hard)

Question Stats:

33% (02:13) correct 67% (02:32) wrong based on 55 sessions

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If a>b>0 , is b<2?

1. $$\frac{1}{a} >\frac{1}{2}$$
2. $$\frac{1}{a} + \frac{a}{b} = 1$$
Senior Manager
Joined: 09 Feb 2015
Posts: 327
Location: India
Concentration: Social Entrepreneurship, General Management
GMAT 1: 690 Q49 V34
GMAT 2: 720 Q49 V39
GPA: 2.8

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01 Oct 2018, 23:02
rheabiswal wrote:
If a>b>0 , is b<2?

1. $$\frac{1}{a} >\frac{1}{2}$$
2. $$\frac{1}{a} + \frac{a}{b} = 1$$

From the given,
a, b are both +ve , a!=b!= 0

1. 1/a >1/2 ==> a< 2 , hence b <2 . Sufficient.
2. let a=1 , 1+1/b >1 , hence a<1 and b < a < 1 .Sufficient.

Hence D.
Intern
Joined: 16 Sep 2018
Posts: 5

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02 Oct 2018, 00:42
If 0<a<1 then the first term 1/a is already more than one, so how can this work? 1/a + a/b = 1 since be cant be negative. (a>b>0)
thx.
Intern
Joined: 21 Oct 2017
Posts: 12

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02 Oct 2018, 04:48
Phibo wrote:
If 0<a<1 then the first term 1/a is already more than one, so how can this work? 1/a + a/b = 1 since be cant be negative. (a>b>0)
thx.

Right....I also have same doubt.
Math Expert
Joined: 02 Aug 2009
Posts: 8290

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02 Oct 2018, 04:58
If a>b>0 , is b<2?

1. $$\frac{1}{a} >\frac{1}{2}$$
$$\frac{2}{a>1}.....a<2$$,
And since a>b>0, b is also less than 2
Sufficient

2. $$\frac{1}{a} + \frac{a}{b} = 1$$
Three cases...
a) a<1 ..... then 1/a >1 and so a/b should be less than 0 to negate excess in 1/a..
Means b<0.... But b>0, so not possible
b) a=1....then 1/a=1/1=1 and so a/b that is 1/b , should be 0...Not possible
c) a>1... Then 1/a<1 and a/b is also<1....
But a/b<1 means a<b....but we are given a>b>0
9
So none of the value can fit in..

FLAWED question
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Intern
Joined: 24 Jun 2018
Posts: 31

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02 Oct 2018, 06:13
Statement 1 is sufficient but statement 2 is flawed. kindly recheck the OA.
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A sentence which can make a happy person sad and a sad person happy- 'this TIME will change'
Intern
Joined: 04 Feb 2018
Posts: 10
Location: India

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02 Oct 2018, 07:05
Statement 1 is sufficient but statement 2 is flawed. kindly recheck the OA.

As per MathRevolution diagnostic test OA is D

Not sure how.
Re: If a>b>0   [#permalink] 02 Oct 2018, 07:05
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