Question: 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]
Options:
A) 92
B) 93
C) 95
D) 96
E) 97
Show Answer
Answer:
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 $