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Intern Joined: 02 Nov 2017
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Question Stats: 70% (00:34) correct 29% (01:08) wrong based on 17 sessions
$$\frac{a}{b} = 153$$ ; $$\frac{a}{c} = 51$$ ; $$a > 0$$

 Quantity A Quantity B $$b$$ $$c$$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

Last edited by Carcass on 19 Feb 2018, 02:37, edited 2 times in total.
Edited by Carcass
Moderator  Joined: 18 Apr 2015
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Expert's post
$$a = 153b$$

$$a = 51c$$

$$51c = 153b$$

Clearly, C is bigger than b.

B is the answer.
_________________ GRE Instructor Joined: 10 Apr 2015
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Expert's post
ash wrote:
$$\frac{a}{b} = 153$$ ; $$\frac{a}{c} = 51$$ ; $$a > 0$$

 Quantity A Quantity B $$b$$ $$c$$

Let's first solve the two given equations for b and c

GIVEN: a/b = 153
Multiply both sides by b to get: a = 153b
Divide both sides by 153 to get: a/153 = b

GIVEN: a/c = 51
Multiply both sides by c to get: a = 51c
Divide both sides by 51 to get: a/51 = c

So, we have:
Quantity A: a/153
Quantity B: a/51

From here we can use matching operations

Since a > 0, we can safely divide both quantities by a to get:
Quantity A: 1/153
Quantity B: 1/51

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Moderator  Joined: 18 Apr 2015
Posts: 5862
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Kudos [?]: 1151 , given: 5465

Expert's post
Thank you Brent.
_________________ GRE Instructor Joined: 10 Apr 2015
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Expert's post
Carcass wrote:
Thank you Brent.

You're welcome Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com Sign up for our free GRE Question of the Day emails Re: a/b=153   [#permalink] 19 Feb 2018, 13:00
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