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07 Nov 2018, 01:22
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D
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68% (01:33) correct
32%
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A set of 10 numbers has an average (arithmetic mean) of 12. When a subset of numbers, which has an average of 15, is removed from the original set, the sum of the remaining numbers is 60. How many numbers remain from the original set?
A. 3
B. 4
C. 5
D. 6
E. 8
A. 3
B. 4
C. 5
D. 6
E. 8
Archit3110
Major Poster
07 Nov 2018, 01:34
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x]A set of 10 numbers has an average (arithmetic mean) of 12. When a subset of numbers, which has an average of 15, is removed from the original set, the sum of the remaining numbers is 60. How many numbers remain from the original set?
A. 3
B. 4
C. 5
D. 6
E. 8
Good question:
the total sum would be : 12*10= 120
subset avg; 15 and we need to find count of numbers whose sum is 60 i.e 4 subset numbers . so numbers left from original set would be 6 option D
A. 3
B. 4
C. 5
D. 6
E. 8
Good question:
the total sum would be : 12*10= 120
subset avg; 15 and we need to find count of numbers whose sum is 60 i.e 4 subset numbers . so numbers left from original set would be 6 option D
07 Nov 2018, 06:21
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Bunuel
Total = 10*12 = 120.
let the number of element removes be x.
120 - 15*x = 60
x = 4.
It means that 4 numbers were removed and 6 numbers remain in the set.
The best answer is D.
