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If a, b, c and d are non-zero integers, is a/b = c/d? (1) c = 5a and

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If a, b, c and d are non-zero integers, is a/b = c/d? (1) c = 5a and  [#permalink]

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New post 25 Sep 2018, 05:33
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

86% (01:22) correct 14% (00:54) wrong based on 66 sessions

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Re: If a, b, c and d are non-zero integers, is a/b = c/d? (1) c = 5a and  [#permalink]

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New post 25 Sep 2018, 07:35
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Bunuel wrote:
If a, b, c and d are non-zero integers, is a/b = c/d?

(1) c = 5a and d = 5b
(2) 5a = 4b and 5c = 4d


Target question: Is a/b = c/d?

Statement 1: c = 5a and d = 5b
So, c/d = 5a/5b = a/b
Aha! c/d = a/b
So, the answer to the target question is YES, a/b = c/d
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: 5a = 4b and 5c = 4d
Take: 5a = 4b
Divide both sides by 5 to get: a = 4b/5
Divide both sides by b to get: a/b = 4/5

Now take: 5c = 4d
Divide both sides by 5 to get: c = 4d/5
Divide both sides by d to get: c/d = 4/5

Since a/b and c/d both equal 4/5, we can be certain that a/b = c/d
So, the answer to the target question is YES, a/b = c/d
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: D

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Brent
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Re: If a, b, c and d are non-zero integers, is a/b = c/d? (1) c = 5a and  [#permalink]

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New post 26 Sep 2018, 18:26
Bunuel wrote:
If a, b, c and d are non-zero integers, is a/b = c/d?

(1) c = 5a and d = 5b
(2) 5a = 4b and 5c = 4d


Upon rearranging option 1

c/a=5 and d/b=5 => equal

Therefore c/a=d/b=> a/b=c/d.

Upon rearranging option 2

a/b=4/5 and c/d=4/5
=> a/b=c/d.

Option D.
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Re: If a, b, c and d are non-zero integers, is a/b = c/d? (1) c = 5a and   [#permalink] 26 Sep 2018, 18:26
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