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.
m=3n and n=5p
[#permalink]
13 Oct 2021, 10:33
13 Oct 2021, 10:33
Expert Reply
00:00
Question Stats:
71% (00:34) correct
28% (00:27) wrong based on 14 sessions
Hide Show timer Statistics
\(m=3n\) and \(n=5p\)
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 |
m |
p |
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.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: m=3n and n=5p
[#permalink]
13 Oct 2021, 11:58
13 Oct 2021, 11:58
Carcass wrote:
\(m=3n\) and \(n=5p\)
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 |
m |
p |
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.
Given: \(n=5p\)
Multiply both sides of the equation by \(3\) to get: \(3n=15p\)
Given: \(m=3n\)
Since we now know that \(3n=15p\), we can write: \(m=3n=15p\)
So we can replace quantity A (\(m\)) with its equivalent value, \(15p\) ,to get:
QUANTITY A: \(p\)
QUANTITY B: \(15p\)
Since no restrictions are placed on the value of \(p\), it could be the case that \(p = 0\), in which case the two quantities are equal.
Or it could be the case that \(p = 1\), in which case Quantity B is greater.
Or it could be the case that \(p = -1\), in which case Quantity A is greater.
Answer: D
