The average marks in English scored by the students of a class in an exam were 46. If 4 of these students who actually scored 15, 13, 9 and 11 are not counted, the average marks for the class in the exam would have been 54. Find the number of students in the class.

Given:
Average = 46
4 students scored 15, 13, 9, 11
New average after removing them = 54
Total students = n
Total marks = 46 × n
Remaining total = 46n - (15+13+9+11) = 46n - 48
Average of remaining = 54 → $$\frac{(46n - 48)}{(n-4)}$$​= 54
46n - 48 = 54(n-4)

46n - 48 = 54n - 216

8n = 168

Thus, the correct option is (c).