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.
GRE Math Challenge #36 - x = v +2
[#permalink]
Updated on: 18 Feb 2020, 10:09
Updated on: 18 Feb 2020, 10:09
1
Expert Reply
3
Bookmarks
00:00
Question Stats:
66% (01:05) correct
33% (00:58) wrong based on 188 sessions
Hide Show timer Statistics
\(x=v+2 \)
\(y=2v\)
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
\(y=2v\)
Quantity A |
Quantity B |
\( x^2+y^2\) |
(\(x+y)^2 \) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: GRE Math Challenge #36
[#permalink]
18 May 2015, 15:07
18 May 2015, 15:07
6
sandy wrote:
\(x=v+2 \)
\(y=2v\)
\(y=2v\)
Quantity A |
Quantity B |
\( x^2+y^2\) |
(\(x+y)^2 \) |
For the moment, let's skip the given information and see if we can simplify the two quantities.
Quantity A: x² + y²
Quantity B: (x + y)²
Expand quantity B to get:
Quantity A: x² + y²
Quantity B: x² + 2xy + y²
Subtract x² and y² from both quantities to get:
Quantity A: 0
Quantity B: 2xy
NOW, replace x and y with the given values to get:
Quantity A: 0
Quantity B: 2(v + 2)(2v)
Expand quantity B to get:
Quantity A: 0
Quantity B: (2v + 4)(2v) = 4v² + 8v
Now consider these two conflicting cases:
case #1: v = 0
We get:
Quantity A: 0
Quantity B: 4v² + 8v = 4(0)² + 8(0) = 0
The quantities are EQUAL
case #2: v = 1
We get:
Quantity A: 0
Quantity B: 4v² + 8v = 4(1)² + 8(1) = 12
The quantities are NOT EQUAL
Answer:
Show: ::
D
Cheers,
Brent
General Discussion
Re: GRE Math Challenge #36
[#permalink]
03 Mar 2018, 23:05
03 Mar 2018, 23:05
GreenlightTestPrep wrote:
sandy wrote:
For the moment, let's skip the given information and see if we can simplify the two quantities.
Quantity A: x² + y²
Quantity B: (x + y)²
Expand quantity B to get:
Quantity A: x² + y²
Quantity B: x² + 2xy + y²
Subtract x² and y² from both quantities to get:
Quantity A: 0
excellent explanation
Quantity B: 2xy
NOW, replace x and y with the given values to get:
Quantity A: 0
Quantity B: 2(v + 2)(2v)
Expand quantity B to get:
Quantity A: 0
Quantity B: (2v + 4)(2v) = 4v² + 8v
Now consider these two conflicting cases:
case #1: v = 0
We get:
Quantity A: 0
Quantity B: 4v² + 8v = 4(0)² + 8(0) = 0
The quantities are EQUAL
case #2: v = 1
We get:
Quantity A: 0
Quantity B: 4v² + 8v = 4(1)² + 8(1) = 12
The quantities are NOT EQUAL
Answer:
Show: ::
D
Cheers,
Brent
