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23(784) or 24(783)

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23(784) or 24(783) [#permalink] New post 01 Dec 2016, 09:17
Expert's post
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Question Stats:

82% (00:57) correct 17% (01:01) wrong based on 17 sessions
Quantity A
Quantity B
23(784)
24(783)


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

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Re: 23(784) or 24(783) [#permalink] New post 02 Dec 2016, 10:53
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Expert's post
Carcass wrote:
Quantity A
Quantity B
23(784)
24(783)




IMPORTANT: This question is really an algebra in disguise (very common on the GRE!)

MORE IMPORTANT: This question could easily be altered to render your onscreen calculator useless.
For example, the quantities COULD be (123456)(765432) and (123457)(765431), in which case you'd EITHER need to perform the calculations by hand OR find an alternative approach.

Here's one alternative approach.

Given:
Quantity A: (23)(784)
Quantity B: (24)(783)

Let's REWRITE these quantities so that the share common terms.
Quantity A: (23)(783 + 1)
Quantity B: (23 + 1)(783)
Aha, they're already looking alike.

Now, expand each quantity to get:
Quantity A: (23)(783) + (23)(1)
Quantity B: (23)(783) + (1)(783)

Subtract (23)(783) from each quantity to get:
Quantity A: (23)(1)
Quantity B: (1)(783)

Now it's clear that the correct answer is B

Cheers,
Brent
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Re: 23(784) or 24(783)   [#permalink] 02 Dec 2016, 10:53
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