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If a, b, c, and d are positive, is a/b > c/d?

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If a, b, c, and d are positive, is a/b > c/d?  [#permalink]

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New post 04 May 2017, 14:37
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A
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E

Difficulty:

  25% (medium)

Question Stats:

70% (01:09) correct 30% (00:57) wrong based on 79 sessions

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If a, b, c, and d are positive, is a/b > c/d?

1) a > c

2) b > d
Math Expert
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Joined: 02 Aug 2009
Posts: 7099
Re: If a, b, c, and d are positive, is a/b > c/d?  [#permalink]

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New post 04 May 2017, 18:50
Mo2men wrote:
If a, b, c, and d are positive, is a/b > c/d?

1) a > c

2) b > d


since all variables are POSITIVE, we can cross multiply

So the Q is ----Is a*d>b*c ?

Let's see the statements..
1) a>c..
But nothing about other two variables..
Insufficient
2) b>D..
Again nothing about other two..
Insufficient

Combined..
a>c and b>d...
We can surely say a*b>c*d, but we cannot tell anything about a*d and b*c.
We require some interconnecting relationship between two more other than given.
Insufficient

For example..
If a>c and b>D, we can have these two examples:-
1) Say a=5, b=7, c=3, d=6...
So a*d>b*c means5*6>7*3.....30>21.... YES..
2) Say a=5, b=7, c=3, d=4...
So a*d>b*c means5*4>7*3.....20>21.... NO..
Different answers possible

E
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: If a, b, c, and d are positive, is a/b > c/d?  [#permalink]

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New post 06 Aug 2018, 02:06
chetan2u KarishmaB pikolo2510 niks18 PKN

Any alternate approach than plugging numbers here?
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Re: If a, b, c, and d are positive, is a/b > c/d?  [#permalink]

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New post 06 Aug 2018, 03:12
Mo2men wrote:
If a, b, c, and d are positive, is a/b > c/d?

1) a > c

2) b > d


Each statement alone is obviously insufficient since the value of the fraction will depend on both the numerator and denominator.

Together, you can divide two inequalities only when they have opposite signs (given that a, b, c and d are all positive). So both statements together are not sufficient. We cannot say whether a/b will be greater than c/d or not.

Answer (E)

Check this post I wrote for Veritas Prep to see the discussion on basic operations on inequalities for GMAT:
https://www.veritasprep.com/blog/2015/1 ... ties-gmat/

It discusses conditions under which you can add/subtract/multiply/divide inequalities.
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If a, b, c, and d are positive, is a/b > c/d?  [#permalink]

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New post 06 Aug 2018, 03:17
Mo2men wrote:
If a, b, c, and d are positive, is a/b > c/d?

1) a > c

2) b > d


congrats everyone on International DS day :)

My reasoning was simple :)

Statement One: a > c Here we are given info on Numerators A is bigger than C (no info on denominars is given)

Statement Two b > d Here we are given info on Denominators B is bigger than D ( NO EXACT info on Denominators is given) B and D could be any numbers ... 3 and 2 respectively or 300 and 5 respectively.

hence E :) YAY !
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If a, b, c, and d are positive, is a/b > c/d? &nbs [#permalink] 06 Aug 2018, 03:17
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