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 Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1057
GPA: 3.39
The number m is the average (arithmetic mean) of the positive numbers
[#permalink]
31 Mar 2021, 22:21
31 Mar 2021, 22:21
3
Expert Reply
2
Bookmarks
00:00
Question Stats:
68% (02:29) correct
32% (02:22) wrong based on 25 sessions
Hide Show timer Statistics
The number m is the average (arithmetic mean) of the positive numbers a and b. If m is 75% more than a, then m must be
A. 30% less than b
B. \(42 \frac{6}{7}\)% less than b
C. 50% less than b
D. \(66 \frac{2}{3}\)% less than b
E. 75% less than b
A. 30% less than b
B. \(42 \frac{6}{7}\)% less than b
C. 50% less than b
D. \(66 \frac{2}{3}\)% less than b
E. 75% less than b
The number m is the average (arithmetic mean) of the positive numbers
[#permalink]
01 Apr 2021, 07:35
01 Apr 2021, 07:35
3
m = \(\frac{a+b}{2}\) _________ Eq (1)
m = \(1.75a\) :: a = \(\frac{4}{7}\)m
By putting value of \(a\) in eq .... (1)
2m = \(\frac{4m + 7b}{7}\)
14m = 4m + 7b
10m = 7b
m = 0.7b
Answer A
m = \(1.75a\) :: a = \(\frac{4}{7}\)m
By putting value of \(a\) in eq .... (1)
2m = \(\frac{4m + 7b}{7}\)
14m = 4m + 7b
10m = 7b
m = 0.7b
Answer A
Re: The number m is the average (arithmetic mean) of the positive numbers
[#permalink]
01 Apr 2021, 11:31
01 Apr 2021, 11:31
2
(a + b) / 2 = m
a + b = 2m
As, m is 75% more than a. Let, a = 10, so m = 17.5
Now, a + b = 2m
10 + b = 2 * 17.5
10 + b = 35
b = 25
SO, m is less than b by (25 - 17.5) / 25 = 30 %
a + b = 2m
As, m is 75% more than a. Let, a = 10, so m = 17.5
Now, a + b = 2m
10 + b = 2 * 17.5
10 + b = 35
b = 25
SO, m is less than b by (25 - 17.5) / 25 = 30 %
