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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: 61287
If x > 8, y > 2x, and z > x, then y + z can equal all of the following  [#permalink]

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Difficulty:   5% (low)

Question Stats: 90% (01:25) correct 10% (01:43) wrong based on 69 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: 1054
Location: India
Concentration: Finance, Marketing
GMAT 1: 590 Q46 V25 GMAT 2: 690 Q49 V34 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.

VP  D
Joined: 31 Oct 2013
Posts: 1491
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 ......

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.

GMAT Club Legend  V
Joined: 18 Aug 2017
Posts: 5931
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
Intern  B
Joined: 20 Jul 2015
Posts: 35
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

From stem y > 2x, and z > x
y + z >3x------(a)

but x>8
So 3x > 24

from (a) y + z >24

Ans E
Senior Manager  G
Joined: 19 Sep 2017
Posts: 251
Location: United Kingdom
GPA: 3.9
WE: Account Management (Other)
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

Hi,
Its E.
x is greater than 8
y is greater than 16
z is greater than 8
so, y+z = greater than 16 + greater than 8 = greater than 24.
Hence, y+z cannot be 24, which is Option E.
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Cheers!!
Target Test Prep Representative V
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 9426
Location: United States (CA)
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

Since x is greater than 8, y is greater than 16, and z is greater than 8. Thus, y + z must be greater than 16 + 8 = 24, so it cannot be 24.

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# Scott Woodbury-Stewart

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If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Re: If x > 8, y > 2x, and z > x, then y + z can equal all of the following   [#permalink] 15 Dec 2019, 18:34
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