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16 Aug 2021, 03:15
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
81% (01:58) correct
19%
(03:09)
wrong
based on 37
sessions
History
Date
Time
Result
Not Attempted Yet
The average age of 20 boys in the class is 15.6 years. Five new boys join and the new average becomes 15.56 years. What was the average age of the five new boys?
(A) 15.5
(B) 15.4
(C) 15.3
(D) 15.25
(E) 15.1
(A) 15.5
(B) 15.4
(C) 15.3
(D) 15.25
(E) 15.1
16 Aug 2021, 05:37
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The age of the 5 new boys has two components.
One, the contribution to the group and second the contribution to the average with their presence.
With their arrival, average age of the group decreases by a 0.04 and hence the total decrease they bring is 5 * 0.04 = - 0.2 years.(- to represent decrease)
The contribution to the average with their presence is 15.56 years.
Hence their age=15.6 - 0.2 = 15.4 years.
(option b)
Alternately,
Total age of 20 boys = 15.6 * 20 = 312
Total age of 25 boys = 15.56 * 25 = 389
Total age of the 5 new boys = 389 — 312 = 77
Average age of the 5 boys = 77 / 5 = 15.4
(option b)
D.S
GMAT SME
One, the contribution to the group and second the contribution to the average with their presence.
With their arrival, average age of the group decreases by a 0.04 and hence the total decrease they bring is 5 * 0.04 = - 0.2 years.(- to represent decrease)
The contribution to the average with their presence is 15.56 years.
Hence their age=15.6 - 0.2 = 15.4 years.
(option b)
Alternately,
Total age of 20 boys = 15.6 * 20 = 312
Total age of 25 boys = 15.56 * 25 = 389
Total age of the 5 new boys = 389 — 312 = 77
Average age of the 5 boys = 77 / 5 = 15.4
(option b)
D.S
GMAT SME
16 Aug 2021, 23:02
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Total weight of 20 boys = 20*15.6 = 312
Total weight of 25 boys = 25*15.56 = 389
The difference in weight would be because of the additional weight of 5 boys
So the weight of 5 boys = 389-312 = 77
So the average weight of 5 boys = 77/5 = 15.4
OA should be B
Total weight of 25 boys = 25*15.56 = 389
The difference in weight would be because of the additional weight of 5 boys
So the weight of 5 boys = 389-312 = 77
So the average weight of 5 boys = 77/5 = 15.4
OA should be B
