|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
15 Jul 2018, 09:00
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
68% (01:45) correct
32%
(01:46)
wrong
based on 397
sessions
History
Date
Time
Result
Not Attempted Yet
If x < y < 0, which of the following inequalities must be true?
A. y + 1 < x
B. y - 1 < x
C. xy^2 < x
D. xy < y^2
E. xy < x^2
A. y + 1 < x
B. y - 1 < x
C. xy^2 < x
D. xy < y^2
E. xy < x^2
15 Jul 2018, 10:10
Kudos
Bookmarks
Bunuel
Plugging in numbers is the best one for this question.
Note: both x and y are negative. Between x and y, x is lower than y
Let assume the value of x and y .
x = -2 x= -0.5
y = -1 y = -0.25
Option E is always true .
E) xy <\(x^2\)
= (-1)(-2) < (-2)^2
=2 < 4
Plugging In Fraction :
(-0.5)(-0.25) < \((0.5)^2\)
0.125 < 0.25......true.
Thus E is the best answer.
15 Jul 2018, 10:31
Kudos
Bookmarks
If which x < y < 0, of the following inequalities must be true?
A. y + 1 < x
Let x=-2 and y=-1........-1+1<-2...0<-2....NO
B. y - 1 < x
Let x=-2 and y=-1......-1-1<-2......-2<-2.....NO
C. xy^2 < x
\(x-xy^2>0......x(1-y^2)>0.......x<0, so:(1-y^2)<0......y^2>1\)...Not necessary, y can be -1/2
D. xy < y^2
\(y^2-xy>0.......y(y-x)>0......y<0, so:(y-x)<0......y<x\)....NO
E. xy < x^2
\(x^2-xy>0.....x(x-y)>0......X<0,so:(x-y)<0.....X<y\)...yes always
E
A. y + 1 < x
Let x=-2 and y=-1........-1+1<-2...0<-2....NO
B. y - 1 < x
Let x=-2 and y=-1......-1-1<-2......-2<-2.....NO
C. xy^2 < x
\(x-xy^2>0......x(1-y^2)>0.......x<0, so:(1-y^2)<0......y^2>1\)...Not necessary, y can be -1/2
D. xy < y^2
\(y^2-xy>0.......y(y-x)>0......y<0, so:(y-x)<0......y<x\)....NO
E. xy < x^2
\(x^2-xy>0.....x(x-y)>0......X<0,so:(x-y)<0.....X<y\)...yes always
E
