Q. 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
β
Correct Answer: (C)
93
Explanation: The average marks obtained by 40 students of a class = 86
If the 5 highest marks are removed, the average reduces by one mark , then
Sum of marks of top 5 students = 40 × 86 – 35 × 85
Sum of marks of top 5 students = 3440 – 2975 = 465
∴ Their average = 465 ÷ 5 = 93
Explanation by: Vaibhav Shukla
The average marks obtained by 40 students of a class = 86
If the 5 highest marks are removed, the average reduces by one mark , then
Sum of marks of top 5 students = 40 × 86 – 35 × 85
Sum of marks of top 5 students = 3440 – 2975 = 465
∴ Their average = 465 ÷ 5 = 93
If the 5 highest marks are removed, the average reduces by one mark , then
Sum of marks of top 5 students = 40 × 86 – 35 × 85
Sum of marks of top 5 students = 3440 – 2975 = 465
∴ Their average = 465 ÷ 5 = 93