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w > 1

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w > 1 [#permalink] New post 10 Sep 2017, 10:11
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Question Stats:

50% (00:30) correct 50% (00:32) wrong based on 30 sessions
\(w > 1\)

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



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.


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Question: 9
Page: 115
Difficulty: medium
[Reveal] Spoiler: OA

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Re: w > 1 [#permalink] New post 10 Sep 2017, 10:25
Expert's post
Explanation

Whenever you see this kind of questions, you should be always on the look out. W, the same quantity, is present in both A and B.

Now is said that \(w > 1\) which means that w could be 2 or \(\frac{5}{4}\)

If w = 2

A) \(7*2 -4 = 10\)

B) \(2*2 + 5 = 9\)

A > B

If \(w = \frac{5}{4} = 1.25\)

A) \(7*1.25 -4 = 4.75\)

B) \(2*1.25 + 5 = 7.5\)

B > A

The answer is D
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Re: w > 1 [#permalink] New post 11 Sep 2017, 16:23
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Expert's post
Carcass wrote:
\(w > 1\)

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




Let's use matching operations

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

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

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

Divide both quantities by 5 to get:
Quantity A: w
Quantity B: 1.8

The given information tells us that x > 1
So, if x = 1.1, then Quantity B is greater.
If x = 2, then Quantity A is greater.

Answer: D

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Re: w > 1 [#permalink] New post 12 Sep 2017, 06:56
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Let A = B

7w - 4 = 2w + 5

Takes 2 sec to realize that,

5w = 9

So A = 5w, B = 9

A can be 1.00001 or 5000, both give A < B and A > B respectively, so the answer is D
Re: w > 1   [#permalink] 12 Sep 2017, 06:56
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