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

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Math Expert
Joined: 02 Sep 2009
Posts: 59236
If a, b, c, and d are positive integers, is a/b > c/d ?  [#permalink]

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03 Apr 2018, 21:47
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Difficulty:

25% (medium)

Question Stats:

85% (01:22) correct 15% (01:24) wrong based on 45 sessions

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If a, b, c, and d are positive integers, is $$\frac{a}{b} > \frac{c}{d}$$ ?

(1) $$a - c > 0$$

(2) $$b - d < 0$$

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Joined: 31 Jul 2016
Posts: 11
Re: If a, b, c, and d are positive integers, is a/b > c/d ?  [#permalink]

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03 Apr 2018, 22:38
a should be greater than c makes > 0
b should be less than d makes < 0
Numerator is bigger and denominator is smaller makes fraction greater.
Must put statements together for them to be sufficient.

Ans : C

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

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04 Apr 2018, 05:36
Bunuel wrote:
If a, b, c, and d are positive integers, is $$\frac{a}{b} > \frac{c}{d}$$ ?

(1) $$a - c > 0$$

(2) $$b - d < 0$$

Is a/b > c/d. Since all four are positive, we can cross-multiply. So basically question is asking whether a*d > b*c?

Statement 1:
a > c, but no information about b/d. Not sufficient.

Statement 2:
b < d or d > b, but no information about a/c. Not sufficient.

Combining the statements,
a > c
d > b

We can multiply both to get a*d > c*b (since all four are positive, we can multiply like this). Sufficient.

Inequalities tips and tricks:
https://gmatclub.com/forum/inequalities ... l#p1379270
Re: If a, b, c, and d are positive integers, is a/b > c/d ?   [#permalink] 04 Apr 2018, 05:36
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