The average marks obtained by 40 students of a class is 86. If the 5 highest marks are removed, the average reduces by one mark. The average marks of the top 5 students is [NICL (AO) 2015] |
A) 92
B) 93
C) 95
D) 96
E) 97
Correct Answer: B
Solution :
Average marks abtained by 40 students = 86 |
Total mark of 40 students \[=40\times 86=3440\] |
After removing top 5 students marks. |
Remaining students \[=40-5=35\] |
New average \[=86-1=85\] |
Total marks remaining 35 students |
\[=35\times 85=2975\] |
Now, total marks of top 5 students |
\[=3440-2975\] |
\[\therefore \] Average of top 5 students \[=\frac{465}{5}=93\] |
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