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

Question

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

sayan640 · Accepted Answer

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.

Bunuel · Answer

It's straight E.

If a and d are positive and b and c are negative then a/b + c/d = negative < 2.

If a is say 100, b = 1, d=2 and c=1, then a/b + c/d > 2.

msk0657 · Answer

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.

PTD1995 · Answer

What would be the fastest way to reach the conclusion that E) is correct?
Just by plugging numbers? If yes, in general, which numbers should I choose?

shameekv1989 · Answer

PTD1995 I think the fastest way would be to understand how a > b affects a/b in different scenarios For a>b or c>d -> I) a/b > 1 -> when numerator is greater than denominator and both are positive II) a/b <0 -> when a is positive and b is negative (still a>b) III) 0 when both are negative (a=-4 b=-5) Therefore above statement will be true only if we are given that a,b,c,d all are positive along with the 2 statements given. Hope it helps

billygdx · Answer

Hi  Bunuel , this is a GMATPREP question from official practice exam 6

Bunuel · Answer

________________________
Added the tag. Thank you!

DesCapitalP · Answer

If a, b, c, and d are nonzero integers, is a/b + c/d greater than 2 ?

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

Ans) So a,b,c,d are integers and none of them are 0. Let me take some nos.

(1) a>b
so let a=2 and b=1. No constraint on c,d so let c,d=1.
a/b + c/d = 2/1 + 1/1 = 3 > 2

let's keep a=2 and b=1. Let c=-1 and d=1.
a/b + c/d = 2/1 + (-1)/1 = 2-1 = 1 <2

St 1 is not sufficient

(2)d>c
so let d=2 and c=1. No constraint on a,b so let a,b=1.
a/b + c/d = 1/1 + 1/2 = 1.5 < 2

let's keep d=2 and c=1. Let a=8 and b=2.
a/b + c/d = 8/2 + 1/2 = 4.5 > 2

St 2 is not sufficient

Combining both statments, a>b and d>c
so let a=2,b=1,d=2,c=1
a/b + c/d = 2/1 + 1/2 = 2.5>2

let a=2,b=1,d=2,c=-1
a/b + c/d = 2/1 + (-1)/2 = 1.5<2

So the answer is E as both statements are not sufficient! <3

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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?

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