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shasadou
Joined: 12 Aug 2015
Last visit: 24 Nov 2022
Posts: 220
Given Kudos: 1,477
Concentration: General Management, Operations
Schools: Johnson '18 (WL) Duke '18 (M) Tuck '18 (D)
GMAT 1: 640 Q40 V37
GMAT 2: 650 Q43 V36
GMAT 3: 600 Q47 V27
GPA: 3.3
WE:Management Consulting (Consulting)
23 Aug 2015, 12:47
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
70% (02:16) correct
30%
(02:34)
wrong
based on 893
sessions
History
Date
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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
23 Aug 2015, 12:55
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shasadou
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
Say a = 4 (multiple of 4), then m = 4 + 3/4*4 = 7.
m = (a + b)/2;
7 = (4 + b)/2 --> b = 10.
m = 7 is 30% less than b = 10.
Answer: A.
ENGRTOMBA2018
Joined: 20 Mar 2014
Last visit: 01 Dec 2021
Posts: 2,332
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Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE:Engineering (Aerospace and Defense)
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23 Aug 2015, 17:31
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shasadou
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
Algebraic solution:
Given, m is the average of a and b ---> m = (a+b)/2 ---> a+b=2m
and m = 1.75a ---> a = 4/7m ---> 2m = 4/7m + b ---> m = 0.7b ---> m is 0.3 or 30% less than b.
A is the correct answer.
