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# Is a/b>0?

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Math Expert
Joined: 02 Aug 2009
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11 Nov 2017, 10:19
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Difficulty:

55% (hard)

Question Stats:

59% (01:21) correct 41% (01:11) wrong based on 87 sessions

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Is $$\frac{a}{b}>0$$?

(1) $$a+b = 0$$
(2) $$|\frac{a}{b}|>0$$

[Reveal] Spoiler: OA

_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 6088 [0], given: 121

Director
Joined: 25 Feb 2013
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11 Nov 2017, 10:45
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chetan2u wrote:
Is $$\frac{a}{b}>0$$?

(1) $$a+b = 0$$
(2) $$|\frac{a}{b}|>0$$

Statement 1: implies $$b=-a$$, So $$\frac{a}{b} = \frac{a}{-a} = -1$$

So we have a NO for our question stem. Sufficient

Statement 2: mod will always be greater than or equal to $$0$$. hence $$a$$ and $$b$$ can have any sign

for eg. $$a=-2$$, $$b=1$$, $$\frac{a}{b}<0$$ but $$|\frac{a}{b}|>0$$

and if $$a=b=1$$, then $$\frac{a}{b}>0$$ and $$|\frac{a}{b}|>0$$. So Insufficient

Option A

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15 Nov 2017, 01:02
chetan2u wrote:
Is $$\frac{a}{b}>0$$?

(1) $$a+b = 0$$
(2) $$|\frac{a}{b}|>0$$

For yes/no DS questions, the correct answer is definitely yes or definitely NO .

Statement 1 is a define No while statement 2 is a definite yes. so the correct answer should be D

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15 Nov 2017, 01:05
IMO A
Stmt 1 tells a and b have opposite signs. So a/b<0. Sufficient

Stmt 2 tells a/b>0 or a/b<0

Posted from my mobile device

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15 Nov 2017, 02:15
Aussy2000 wrote:
chetan2u wrote:
Is $$\frac{a}{b}>0$$?

(1) $$a+b = 0$$
(2) $$|\frac{a}{b}|>0$$

For yes/no DS questions, the correct answer is definitely yes or definitely NO .

Statement 1 is a define No while statement 2 is a definite yes. so the correct answer should be D

Hi Aussy2000

Can you explain how Statement 2 proves that $$\frac{a}{b}>0$$ ?

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15 Nov 2017, 11:22
Aussy2000 wrote:
chetan2u wrote:
Is $$\frac{a}{b}>0$$?

(1) $$a+b = 0$$
(2) $$|\frac{a}{b}|>0$$

For yes/no DS questions, the correct answer is definitely yes or definitely NO .

Statement 1 is a define No while statement 2 is a definite yes. so the correct answer should be D

Hi Aussy

Statement 2 is actually NOT a definite yes. Its given that |a/b| > 0 or modulus of a/b is positive. For any non-zero number, its modulus will be positive only.

We can have say a=b=2, and so a/b = 2/2 =1 and |a/b| = 1. Here a/b > 0 and |a/b| is also > 0

But we can also have say a=-2 and b=2 and so a/b = -2/2 = -1 but |a/b| = 1. So here a/b < 0 but |a/b| >0

So we can't say whether a/b will be positive or negative on the basis of second statement.

Also in GMAT, whenever the answer is D, both statements give the same answer. So its NOT possible to get No from statement 1 and Yes from statement 2. If I ever come across such a case in my practice (different answers from the two statements) I know I am going off somewhere and I recheck.

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17 Nov 2017, 08:51
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KUDOS
chetan2u wrote:
Is $$\frac{a}{b}>0$$?

(1) $$a+b = 0$$
(2) $$|\frac{a}{b}|>0$$

Hi chetan2u

Can you explain why option A is incorrect and why C is correct choice here?

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17 Nov 2017, 08:56
niks18 wrote:
chetan2u wrote:
Is $$\frac{a}{b}>0$$?

(1) $$a+b = 0$$
(2) $$|\frac{a}{b}|>0$$

Hi chetan2u

Can you explain why option A is incorrect and why C is correct choice here?

hi..
Typo.. ans is A .. Thanks
Kudos for pointing out
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 6088 [0], given: 121

Director
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17 Nov 2017, 08:59
chetan2u wrote:
niks18 wrote:
chetan2u wrote:
Is $$\frac{a}{b}>0$$?

(1) $$a+b = 0$$
(2) $$|\frac{a}{b}|>0$$

Hi chetan2u

Can you explain why option A is incorrect and why C is correct choice here?

hi..
Typo.. ans is A .. Thanks
Kudos for pointing out

Thanks chetan2u for clarifying. I have been scratching my head for past half an hour to arrive at C

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17 Nov 2017, 09:24
chetan2u wrote:
niks18 wrote:
chetan2u wrote:
Is $$\frac{a}{b}>0$$?

(1) $$a+b = 0$$
(2) $$|\frac{a}{b}|>0$$

Hi chetan2u

Can you explain why option A is incorrect and why C is correct choice here?

hi..
Typo.. ans is A .. Thanks
Kudos for pointing out

Hi chetan2u,

May be not worth asking, still...

From statement A, A+B=0, we could have A=B=0, So 0/0 ---Undefined ..... We don't know its +ve or -ve. Can we definitely arrive at a conclusion?

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17 Nov 2017, 10:53
Hi chetan2u,

May be not worth asking, still...

From statement A, A+B=0, we could have A=B=0, So 0/0 ---Undefined ..... We don't know its +ve or -ve. Can we definitely arrive at a conclusion?[/quote]

Hi

Chetan will be best to answer this, but in my opinion, even if its not specified, we can ignore such things where we know its undefined. so eg - if its given that x/y > 2, we have to assume y not equal to 0, because otherwise the question stem becomes not defined. Similarly here I think we can safely assume that A and B will not be 0, because then A/B will become undefined.

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Re: Is a/b>0?   [#permalink] 17 Nov 2017, 10:53
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