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# w > 1

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Founder
Joined: 18 Apr 2015
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Kudos [?]: 2385 [0], given: 9227

w > 1 [#permalink]  10 Sep 2017, 10:11
Expert's post
00:00

Question Stats:

55% (00:38) correct 44% (00:44) wrong based on 147 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.

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

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Founder
Joined: 18 Apr 2015
Posts: 9739
Followers: 202

Kudos [?]: 2385 [0], given: 9227

Re: w > 1 [#permalink]  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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GRE Instructor
Joined: 10 Apr 2015
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Kudos [?]: 3128 [3] , given: 54

Re: w > 1 [#permalink]  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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Intern
Joined: 26 Aug 2017
Posts: 30
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Kudos [?]: 23 [1] , given: 7

Re: w > 1 [#permalink]  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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# w > 1

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