solution: option (c)

there are totally 15 students (240/16)

3 students score 18 or more marks.

We need to maximize the number of students scoring 16, hence, assume that 3 students have scored 18 marks.

The average is 16, to balance the +6 surplus, there is one student who scores 14 and one student who scores 12.

All the remaining students score exactly 16. Maximum = 15-3-2 =10

Approach 2-Reverse Gear

Go from answer options.

option (c)

If 11 students score 16, then 176 marks are distributed. We next need to distribute 18x3 =54 marks. Total

= 230. Only 10 marks are left. Since minimum possible score is 12 for a student, 11 cannot be the answer