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.
Which is greater -x-3/4 or y
[#permalink]
27 Jan 2020, 09:23
27 Jan 2020, 09:23
Expert Reply
00:00
Question Stats:
66% (01:12) correct
33% (01:06) wrong based on 27 sessions
Hide Show timer Statistics
Attachment:
#greprepclub Which is greater -x-34 or y.jpg [ 6.65 KiB | Viewed 1913 times ]
Quantity A |
Quantity B |
\(- \frac{x-3}{4}\) |
\(y\) |
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.
Kudos for the right answer and explanation
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Which is greater -x-3/4 or y
[#permalink]
27 Jan 2020, 10:57
27 Jan 2020, 10:57
1
Carcass wrote:
Attachment:
#greprepclub Which is greater -x-34 or y.jpg
Quantity A |
Quantity B |
\(- \frac{x-3}{4}\) |
\(y\) |
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.
Kudos for the right answer and explanation
The key here is to avoid making any assumptions about the precise values of x and y.
All we know for certain, is that \(-1 < x < 0\) and \(0 < y < 1\)
Okay giving all of this, let's first simplify things by using the strategy of matching operations
Quantity A: \(- \frac{x-3}{4}\)
Quantity B: \(y\)
Multiply both quantities by \(4\) to get:
Quantity A: \(- (x-3)\)
Quantity B: \(4y\)
Simplify Quantity A to get:
Quantity A: \(3-x\)
Quantity B: \(4y\)
From here, let's test some values.
case i: Since \(-1 < x < 0\) and \(0 < y < 1\), it COULD be the case that \(x = -0.1\) and \(y = 0.5\).
Let me plug these values into our quantities we get:
Quantity A: \(3-x = 3 - (-0.1) = 3.1\)
Quantity B: \(4y = 4(0.5) = 2\)
In this case, Quantity A is greater
case ii: Since \(-1 < x < 0\) and \(0 < y < 1\), it COULD also be the case that \(x = -0.1\) and \(y = 0.9\).
Let me plug these values into our quantities we get:
Quantity A: \(3-x = 3 - (-0.1) = 3.1\)
Quantity B: \(4y = 4(0.9) = 3.6\)
In this case, Quantity B is greater
Answer: D
RELATED VIDEO
gmatclubot
Which is greater -x-3/4 or y [#permalink]
27 Jan 2020, 10:57
Moderators:
