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If a, b, c, d are non zero integers, is a/b + c/d greater than 2?

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If a, b, c, d are non zero integers, is a/b + c/d greater than 2?  [#permalink]

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New post Updated on: 10 Jul 2016, 06:41
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

86% (01:16) correct 14% (01:08) wrong based on 149 sessions

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If a, b, c, d are non zero integers, is a/b + c/d greater than 2?

(1) a > b
(2) d > c

Originally posted by HarveyKlaus on 10 Jul 2016, 02:40.
Last edited by Bunuel on 10 Jul 2016, 06:41, edited 2 times in total.
Renamed the topic and edited the question.
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Re: If a, b, c, d are non zero integers, is a/b + c/d greater than 2?  [#permalink]

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New post 10 Jul 2016, 05:33
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HarveyKlaus wrote:
If a, b, c, d are non zero integers, is a/b + c/d greater than 2?

A) a>b
B) d>c

Whats the best way to solve this question?

Thanks



This is how I tried and got it correct.

Given : Is a/b + c/d greater than 2.

Stat 1: a > b we consider both +ve or -ve or one positive and one negative or some fractions like a = 1/2 and b = 1/3 , etc many cases possible.

From this statement we don't know anything about c and d.

Stat 2: c > d we consider both +ve or -ve or one positive and one negative or some fractions like d = 1/2 and c = 1/3 , etc many cases possible.

From this statement we don't know anything about a and b.

Stat 1 + Stat 2 : Even if we both statements we can plug some numbers and we'll get < 2 or > 2 values and incorrect.

Both statements has many considerations and can't get any unique result.

Hence E is the correct answer.
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Re: If a, b, c, d are non zero integers, is a/b + c/d greater than 2?  [#permalink]

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New post 10 Jul 2016, 06:48
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Re: If a, b, c, d are non zero integers, is a/b + c/d greater than 2?  [#permalink]

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New post 03 Aug 2019, 14:53
HarveyKlaus wrote:
If a, b, c, d are non zero integers, is a/b + c/d greater than 2?

(1) a > b
(2) d > c


From statement 1 , a > b
So , a/b >1

No information about c and d . So not sufficient.

From statement 2 , d > c
So , c / d <1
No information about a and b . So not sufficient.

Together ,
We know a / b > 1 . We dont know how much greater.
If it's just greater , say a/b = 1.5 and c/d is very lesser than 1 , say c/d = -2

Then a/b + c/d is NOT greater than 2.

Else , if a/b is much bigger than 1 say a/b = 5
and c/d is just lesser than 1 say c/d = -.5

Then a/b +c /d = 5-.5 = 4.5 and is greater than 2.

Yes or No ...both are possible...
Option E is the answer.

Please give me KUDOs if you liked my explanation.
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Re: If a, b, c, d are non zero integers, is a/b + c/d greater than 2?   [#permalink] 03 Aug 2019, 14:53
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