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Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  If x > 8, y > 2x, and z > x, then y + z can equal all of the following

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Math Expert V
Joined: 02 Sep 2009
Posts: 58381
If x > 8, y > 2x, and z > x, then y + z can equal all of the following  [#permalink]

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Difficulty:   15% (low)

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

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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

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NUS School Moderator V
Joined: 18 Jul 2018
Posts: 1022
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: If x > 8, y > 2x, and z > x, then y + z can equal all of the following  [#permalink]

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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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VP  D
Joined: 31 Oct 2013
Posts: 1469
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
If x > 8, y > 2x, and z > x, then y + z can equal all of the following  [#permalink]

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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.
GMAT Club Legend  D
Joined: 18 Aug 2017
Posts: 5009
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: If x > 8, y > 2x, and z > x, then y + z can equal all of the following  [#permalink]

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

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