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28 Jul 2015, 07:19
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C
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Difficulty:
15%
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Question Stats:
77% (01:19) correct
23%
(01:29)
wrong
based on 366
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If x < 0 and 0 < y < 1, which of the following has the greatest value?
A. \(x^2\)
B. \((xy)^2\)
C. \((\frac{x}{y})^2\)
D. \(\frac{x^2}{y}\)
E. \(x^2*y\)
A. \(x^2\)
B. \((xy)^2\)
C. \((\frac{x}{y})^2\)
D. \(\frac{x^2}{y}\)
E. \(x^2*y\)
ENGRTOMBA2018
Joined: 20 Mar 2014
Last visit: 01 Dec 2021
Posts: 2,328
Own Kudos:
Given Kudos: 816
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE:Engineering (Aerospace and Defense)
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28 Jul 2015, 07:29
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Bookmarks
Bunuel
If x < 0 and 0 < y < 1, which of the following has the greatest value?
A. x^2
B. (xy)^2
C. (x/y)^2
D. x^2/y
E. x^2*y
A. x^2
B. (xy)^2
C. (x/y)^2
D. x^2/y
E. x^2*y
Plug in the values, x = -1, y =0.5
A: 1
B: 0.25
C: 4
D: 2
E: 0.5
Thus, C is the correct answer.
28 Jul 2015, 07:56
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Bookmarks
Bunuel
If x < 0 and 0 < y < 1, which of the following has the greatest value?
A. x^2
B. (xy)^2
C. (x/y)^2
D. x^2/y
E. x^2*y
A. x^2
B. (xy)^2
C. (x/y)^2
D. x^2/y
E. x^2*y
Given, x < 0 and 0 < y < 1
Let, x = -2 and y = 1/2
A. x^2 = (-2)^2 = 4
B. (xy)^2 = (-2*1/2)^2 = 1
C. (x/y)^2 = {-2/(1/2)}^2 = (-4)^2 = 16
D. x^2/y = (-2)^2 / (1/2) = 4*2 = 8
E. x^2*y = (-2)^2*(1/2) = 2
Answer: option C
