GRE Prep 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.
xy > 0 and y < 1
[#permalink]
19 Dec 2023, 05:53
19 Dec 2023, 05:53
Expert Reply
1
Bookmarks
00:00
Question Stats:
63% (01:54) correct
36% (01:12) wrong based on 11 sessions
Hide Show timer Statistics
xy > 0 and y < −1
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
x/y |
xy |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Part of the project: The Butler-GRE Daily New Quant and Verbal Questions to Practice (2023) - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
Manager
Joined: 11 Nov 2023
Posts: 207
Given Kudos: 76
WE:Business Development (Advertising and PR)
Re: xy > 0 and y < 1
[#permalink]
21 Dec 2023, 16:30
21 Dec 2023, 16:30
1
Since y < -1, x must be less than 0 in order for xy > 0.
Let's say y = -2 and x = -1, and plug in for the expressions in Quantity A and B.
xy = (-1)(-2) = 2
x/y = (-1)/(-2) = 1/2
2 > 1/2, so xy > x/y
To check whether the comparison changes when x = y, let's say both y and x = -2.
xy = 4
x/y = 1
xy is still > x/y.
Let's say y = -2 and x = -1, and plug in for the expressions in Quantity A and B.
xy = (-1)(-2) = 2
x/y = (-1)/(-2) = 1/2
2 > 1/2, so xy > x/y
To check whether the comparison changes when x = y, let's say both y and x = -2.
xy = 4
x/y = 1
xy is still > x/y.
Re: xy > 0 and y < 1
[#permalink]
31 Dec 2023, 01:33
31 Dec 2023, 01:33
1
I'm confused - the question doesn't mention X is an integer.
In case x=y=-1/2
QtA
(-1/2)/(-1/2)= 1
QtB
(-1/2)*(-1/2)= 1/4
In this case, Qt A is bigger than QtB so the answer should be D.
@caracass - would love your input here.
In case x=y=-1/2
QtA
(-1/2)/(-1/2)= 1
QtB
(-1/2)*(-1/2)= 1/4
In this case, Qt A is bigger than QtB so the answer should be D.
@caracass - would love your input here.
