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If x > 8, y > 2x, and z > x, then y + z can equal all of the following

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If x > 8, y > 2x, and z > x, then y + z can equal all of the following  [#permalink]

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New post 21 Jan 2019, 02:27
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

90% (01:16) correct 10% (01:59) wrong based on 38 sessions

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Re: If x > 8, y > 2x, and z > x, then y + z can equal all of the following  [#permalink]

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New post 21 Jan 2019, 02:33
As x>8, let's take x as 9. Then y as 19 and z as 10. min value of y+z is 29. It cannot be 24.

E is the answer.
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If x > 8, y > 2x, and z > x, then y + z can equal all of the following  [#permalink]

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New post 21 Jan 2019, 03:14
Bunuel wrote:
If x > 8, y > 2x, and z > x, then y + z can equal all of the following EXCEPT

A 56
B 48
C 40
D 32
E 24



1)x>8.

let x be 8. actual value is greater than 8.

2)y>2x

y>2*8

y=16.

actual value is greater than 16.

3)z>x

z>8.

These are just corner values ......

Adding y + z:

y (min) = 16

z (min) = 8.

y + z ( min) = 24

but actual value must be greater than 24.

Thus, 24 can't be the sum of y +z.


The best answer is E.
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Re: If x > 8, y > 2x, and z > x, then y + z can equal all of the following  [#permalink]

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New post 21 Jan 2019, 08:49
Bunuel wrote:
If x > 8, y > 2x, and z > x, then y + z can equal all of the following EXCEPT

A 56
B 48
C 40
D 32
E 24


x=9
y=19
z=9
y+z= 28
IMO E is exception
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Re: If x > 8, y > 2x, and z > x, then y + z can equal all of the following   [#permalink] 21 Jan 2019, 08:49
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