The average marks of a group of 16 students in a test are reduced by 4 when the topper, who scored 92 marks, is replaced by a new student. What are the marks scored by the new student?

28

Decrement in marks because of replacing = 16 × 4 = 64

So, Marks of new student = Marks of old students - Decrement

= 92 - 64

= 28

So , Marks of new students = 28