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x is at least 50% greater than 100, and at most

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x is at least 50% greater than 100, and at most [#permalink] New post 26 Jun 2017, 07:20
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Question Stats:

77% (01:13) correct 22% (01:51) wrong based on 18 sessions


x is at least 50% greater than 100, and at most 100 % greater than 100; y is be­tween 20 % and 50% of x inclusive. Which of the following are possible values for y?

❑ 10

❑ 25

❑ 40

❑ 60

❑ 90

❑ 100

❑ 120

❑ 170

❑ 200


[Reveal] Spoiler: OA
C,D,E,F
[Reveal] Spoiler: OA

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Re: x is at least 50% greater than 100, and at most [#permalink] New post 27 Jun 2017, 13:23
Expert's post
Carcass wrote:


x is at least 50% greater than 100, and at most 100 % greater than 100; y is between 20 % and 50% of x inclusive. Which of the following are possible values for y?

❑ 10

❑ 25

❑ 40

❑ 60

❑ 90

❑ 100

❑ 120

❑ 170

❑ 200


[Reveal] Spoiler: OA
C,D,E,F


x is at least 50% greater than 100, and at most 100 % greater than 100
In other words: (50% greater than 100) ≤ x ≤ (100% greater than 100)
Evaluate: 150 ≤ x ≤ 200

y is between 20% and 50% of x inclusive
In other words: (20% of x) ≤ y ≤ (50% of x)

IMPORTANT: The smallest value of y will be when x is the smallest.
Since 150 is the smallest possible value of x, the smallest possible value of y = 20% of 150 = 30

IMPORTANT: The biggest value of y will be when x is the biggest.
Since 200 is the biggest possible value of x, the biggest possible value of y = 50% of 200 = 100

So, 30 ≤ y ≤ 100


Which of the following are possible values for y?
30 ≤ y ≤ 100

Answer:
[Reveal] Spoiler:
40, 60, 90, 100 (C, D, E, F)


Cheers,
Brent
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Re: x is at least 50% greater than 100, and at most   [#permalink] 27 Jun 2017, 13:23
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