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macjas
Joined: 09 May 2012
Last visit: 30 Jul 2015
Posts: 306
Given Kudos: 100
Affiliations: UWC
Location: Canada
Schools: Rotman '15 (A) Schulich '15 (M)
GMAT 1: 620 Q42 V33
GMAT 2: 680 Q44 V38
GPA: 3.43
WE:Engineering (Media/Entertainment)
Products:
27 May 2012, 09:24
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
86% (02:11) correct
14%
(02:00)
wrong
based on 163
sessions
History
Date
Time
Result
Not Attempted Yet
If the average of the five numbers n, 2n – 4, 4n + 3, 5n + 2, and 6n + 5 is 52, what is the value of n ?
A. 2 5/9
B. 10
C. 12
D. 14 1/9
E. 15
A. 2 5/9
B. 10
C. 12
D. 14 1/9
E. 15
28 May 2012, 00:39
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macjas
The average of the five numbers is 52 means that \(n+(2n-4)+(4n+3)+(5n+2)+(6n+5)=5*52\) --> \(n=\frac{127}{9}=14\frac{1}{9}\).
Answer: D.
04 Oct 2015, 23:02
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Hi All,
While most Test Takers would solve this with an Algebraic approach (which is fine), it can also be solved by TESTing THE ANSWERS...
We're told that the average of the five numbers N, (2N – 4), (4N + 3), (5N + 2), and (6N + 5) is 52. We're asked for the value of N.
Let's start with Answer B: 10
IF...N = 10, then the 5 numbers are...
10, 16, 43, 52 and 65.
The average of this group of numbers is 186/5 = 37.2, which is TOO LOW (it's supposed to be 52). Eliminate A and B. To raise the average almost 15, we need each of the 5 values to be considerably higher, so I'm going to jump to Answer E.
Answer E: 15
IF...N = 15, then the 5 numbers are...
15, 26, 63, 77 and 95
The average of this group of numbers is 276/5 = 55.2, which is TOO HIGH. Since it's relatively close to 52, the correct answer will be closer to 15 than it is to 10. Of the two remaining answers, there's only one that makes sense...
Final Answer:
GMAT assassins aren't born, they're made,
Rich
While most Test Takers would solve this with an Algebraic approach (which is fine), it can also be solved by TESTing THE ANSWERS...
We're told that the average of the five numbers N, (2N – 4), (4N + 3), (5N + 2), and (6N + 5) is 52. We're asked for the value of N.
Let's start with Answer B: 10
IF...N = 10, then the 5 numbers are...
10, 16, 43, 52 and 65.
The average of this group of numbers is 186/5 = 37.2, which is TOO LOW (it's supposed to be 52). Eliminate A and B. To raise the average almost 15, we need each of the 5 values to be considerably higher, so I'm going to jump to Answer E.
Answer E: 15
IF...N = 15, then the 5 numbers are...
15, 26, 63, 77 and 95
The average of this group of numbers is 276/5 = 55.2, which is TOO HIGH. Since it's relatively close to 52, the correct answer will be closer to 15 than it is to 10. Of the two remaining answers, there's only one that makes sense...
Final Answer:
GMAT assassins aren't born, they're made,
Rich
