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
[#permalink]
30 Mar 2022, 02:00
30 Mar 2022, 02:00
2
Expert Reply
00:00
Question Stats:
41% (00:43) correct
58% (00:35) wrong based on 12 sessions
Hide Show timer Statistics
\(xy<0\)
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 |
\([x+y]^2\) |
\( [x-y]^2\) |
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: GRE Quantitative Reasoning Daily Challenge - (2022) EDITION
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
xy<0
[#permalink]
30 Mar 2022, 05:51
30 Mar 2022, 05:51
1
Bookmarks
Carcass wrote:
\(xy<0\)
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 |
\([x+y]^2\) |
\( [x-y]^2\) |
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
We can solve this question using matching operations (see the video lesson below )
Given:
Quantity A: (x + y)²
Quantity B: (x - y)²
Expand and simplify both quantities:
Quantity A: x² + 2xy + y²
Quantity B: x² - 2xy + y²
Subtract x² and subtract y² from both quantities:
Quantity A: 2xy
Quantity B: -2xy
Add 2xy to both quantities:
Quantity A: 4xy
Quantity B: 0
Since we're told xy is negative, we know that 4xy is negative, which means Quantity B is greater.
Answer: B
RELATED VIDEO
General Discussion
Re: xy<0
[#permalink]
30 Mar 2022, 03:00
30 Mar 2022, 03:00
1
\(xy<0\)
Qt A :: \((x+y)^2\) \(= x^2 + y^2 + 2xy\)
Qt B :: \((x-y)^2\) \(= x^2 + y^2 - 2xy\)
Since \(xy < 0\)
Qt B > Qt A
Answer B
Qt A :: \((x+y)^2\) \(= x^2 + y^2 + 2xy\)
Qt B :: \((x-y)^2\) \(= x^2 + y^2 - 2xy\)
Since \(xy < 0\)
Qt B > Qt A
Answer B
