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If x < y < z, what is the value of x?

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Joined: 02 Sep 2009
Posts: 47015
If x < y < z, what is the value of x? [#permalink]

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New post 24 Nov 2017, 00:10
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

78% (00:38) correct 23% (00:48) wrong based on 40 sessions

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Intern
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Joined: 06 Aug 2017
Posts: 4
Location: India
Concentration: Real Estate, Strategy
GRE 1: 301 Q159 V142
GPA: 4
WE: Engineering (Consulting)
Re: If x < y < z, what is the value of x? [#permalink]

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New post 24 Nov 2017, 00:29
Pls correct me if I am wrong

In Question, provided that

1. Median of X,Y and Z is 76 which means Y is 76
2. Range of the numbers is 22 stating Z-X= 22

Compiling it would give X< 76< (X+22), where X can range from 55 to 75 to satisfy X<Y<Z Condition.

So Answer might be E
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Re: If x < y < z, what is the value of x? [#permalink]

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New post 24 Nov 2017, 08:31
Bunuel wrote:
If x < y < z, what is the value of x?

(2) The range of these three numbers is 22.
(2) The median of these three numbers is 76.


from (1), x = z - 22; not suf.
from (2), y = 76; not suf.
both (c): if z = 90, then x = 90-22 = 68 and y = 76; if z = 77, x = 55 and y = 76; more than one answer, not suf.
answer: (E)
Re: If x < y < z, what is the value of x?   [#permalink] 24 Nov 2017, 08:31
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