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# Given that 0<x<y<1

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Given that 0<x<y<1 [#permalink]  12 Jan 2016, 23:19
Expert's post
00:00

Question Stats:

62% (00:47) correct 37% (01:04) wrong based on 145 sessions
$$0<x<y<1$$

 Quantity A Quantity B 1 - y y - x

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: 5
Page: 331
Difficulty: medium/hard
[Reveal] Spoiler: OA

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Retired Moderator
Joined: 07 Jun 2014
Posts: 4804
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 163

Kudos [?]: 2776 [5] , given: 394

Re: Given that 0<x<y<1 [#permalink]  12 Jan 2016, 23:48
5
KUDOS
Expert's post
Solution

The following figure represents the information given in the problem on a number line.

On the number line, 1−y is the distance between 1 and y, and y−x is the distance between y and x. If y is exactly halfway between x and 1, then 1−y is equal to y−x; and if y is not halfway between x and 1, then 1−y is not equal to y−x. But y can be any number between x and 1, so the correct answer is Choice D.

[Reveal] Spoiler: img
Attachment:

Quant.jpg [ 3.04 KiB | Viewed 8629 times ]

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Sandy
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Re: Given that 0<x<y<1 [#permalink]  01 Mar 2018, 11:13
1
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Expert's post
sandy wrote:
0 < x < y < 1

 Quantity A Quantity B 1 - y y - x

Let's test some x-values and y-values that satisfy the condition that 0 < x < y < 1

CASE 1: Try x = 0.3 and y = 0.4
We get:
Quantity A: 1 - 0.4
Quantity B: 0.4 - 0.3

Evaluate to get:
Quantity A: 0.6
Quantity B: 0.1
In this case, Quantity A is greater

CASE 2: Try x = 0.1 and y = 0.7
We get:
Quantity A: 1 - 0.7
Quantity B: 0.7 - 0.1

Evaluate to get:
Quantity A: 0.3
Quantity B: 0.6
In this case, Quantity B is greater

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Re: Given that 0<x<y<1 [#permalink]  11 Mar 2018, 07:14
D
Re: Given that 0<x<y<1   [#permalink] 11 Mar 2018, 07:14
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