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# Is a + b = 0 ? (1) a/b > 1 (2) ab > 1

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Senior RC Moderator
Joined: 02 Nov 2016
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Is a + b = 0 ? (1) a/b > 1 (2) ab > 1  [#permalink]

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30 Sep 2019, 09:51
2
2
00:00

Difficulty:

55% (hard)

Question Stats:

54% (01:31) correct 46% (01:05) wrong based on 39 sessions

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Is $$a + b = 0$$ ?

(1) $$\frac{a}{b} > 1$$

(2) $$ab > 1$$

Source: Nova GMAT

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Joined: 11 Mar 2018
Posts: 158
Is a + b = 0 ? (1) a/b > 1 (2) ab > 1  [#permalink]

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15 Oct 2019, 01:50
2
Is $$a + b = 0$$ ?

(1) $$\frac{a}{b} > 1$$

(2) $$ab > 1$$

Source: Nova GMAT

$$a + b = 0$$

This is only possible if a and b are same in value and have opposite signs OR both a and b are zero.

Now,
From Statement 1 -> $$\frac{a}{b} > 1$$
This here implies a and b are not equal to zero as then $$\frac{a}{b} = 0 < 1$$ ---Hence No, a + b is not equal to zero.---
and a and b are not equal, irrespective of the sign as then $$\frac{a}{b} = 1$$ ---Hence No, a + b is not equal to zero.---

Hence Statement 1 is sufficient.

From Statement 2 -> $$ab > 1$$
This here clearly implies that a and b are not zero. ---Hence No, a + b is not equal to zero.---
Now to get a value above than (+1), both a and b should definitely be having the same sign, i.e. either negative or positive.
But for our prompt to be true we need a and b to be of opposite signs. ---Hence No, a + b is not equal to zero.---

So, Statement 2 is sufficient.

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Joined: 31 Jan 2013
Posts: 19
Re: Is a + b = 0 ? (1) a/b > 1 (2) ab > 1  [#permalink]

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14 Oct 2019, 20:26
Bunuel wrote:
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BUMPING FOR DISCUSSION.

How is the answer D? I am gettting B

Q is - Is a + b =0?

a. a/b >1 ... it says a>b does not say anything

b. ab>1 i.e both a and b have the same sign, if both of them have the same sign, their addition would never give 0. Hence answer to the question is a + b= 0 is NO. Ans - B.
Re: Is a + b = 0 ? (1) a/b > 1 (2) ab > 1   [#permalink] 14 Oct 2019, 20:26
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