Question

The average marks of a student in 10 papers are 80. If the highest and the lowest scores are not considered, the average is 81. If his highest score is 92, find the lowest.

• A. 55
• B. 60
• C. 62
• D. Cannot be determined

Hint:

When removing items from average calculation, adjust the total sum accordingly.

Answer 1

The Correct Option is A

Total marks for 10 papers = $80 \times 10 = 800$. Removing highest (92) and lowest (L), we have 8 papers average = 81 $\Rightarrow$ total = $81 \times 8 = 648$. So $800 - 92 - L = 648 \Rightarrow 708 - L = 648 \Rightarrow L = 60$. Answer = 60 (option b).