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# For all values of x, y, and z, x ◊ y ◊ z = x2(y − 1)(z + 2).

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Director
Joined: 12 Feb 2015
Posts: 917
For all values of x, y, and z, x ◊ y ◊ z = x2(y − 1)(z + 2).  [#permalink]

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28 May 2018, 10:53
7
00:00

Difficulty:

55% (hard)

Question Stats:

65% (02:06) correct 35% (01:54) wrong based on 102 sessions

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For all values of x, y, and z, $$x ◊ y ◊ z$$ = $$x^2(y − 1)(z + 2).$$
If a < 0, which of the following shows R, S, and T arranged in order from least to greatest?
R: $$1 ◊ a ◊ 3$$
S: $$3 ◊ a ◊ 1$$
T: $$a ◊ 3 ◊ 1$$

A) R, S, T
B) T, S, R
C) R, T, S
D) T, R, S
E) S, R, T

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Manish

"Only I can change my life. No one can do it for me"
Manager
Joined: 22 Jun 2017
Posts: 71
Location: Brazil
GMAT 1: 600 Q48 V25
GPA: 3.5
WE: Engineering (Energy and Utilities)
Re: For all values of x, y, and z, x ◊ y ◊ z = x2(y − 1)(z + 2).  [#permalink]

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28 May 2018, 11:08
Option E

a<0

If a = -1:

R: 5(a-1) = -10
S: 27(a -1) = -54
T: 6$$a^2$$ = 6

> S, R, T
Re: For all values of x, y, and z, x ◊ y ◊ z = x2(y − 1)(z + 2).   [#permalink] 28 May 2018, 11:08
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