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GRE Math Challenge #4- w>1

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GRE Math Challenge #4- w>1 [#permalink]  29 May 2014, 01:48
Expert's post
00:00

Difficulty:

5% (low)

Question Stats:

100% (01:03) correct 0% (00:00) wrong based on 3 sessions
w>1

Quantity A

7w-4

Quantity B

2w+5

(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.
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Re: GRE Math Challenge #4- w>1 [#permalink]  16 Mar 2017, 01:13
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Re: GRE Math Challenge #4- w>1 [#permalink]  24 Mar 2017, 06:13
Expert's post
soumya1989 wrote:
w>1

Quantity A

7w - 4

Quantity B

2w + 5

Let's use the Matching Operations strategy.

Given:
Quantity A: 7w - 4
Quantity B: 2w + 5

Subtract 2w from both quantities to get:
Quantity A: 5w - 4
Quantity B: 5

Add 4 to both quantities to get:
Quantity A: 5w
Quantity B: 9

Divide both quantities by 5 to get:
Quantity A: w
Quantity B: 9/5 (= 1.8)

We're told that w > 1

So, if w = 1.1, then quantity B IS GREATER.
Conversely, if w = 2, then quantity A IS GREATER.

[Reveal] Spoiler:
D

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Re: GRE Math Challenge #4- w>1   [#permalink] 24 Mar 2017, 06:13
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