In a class among the passed students Nitu is `22^(nd)` from the top and Aparna, who is 5 ranks below Nitu is `34^(th)` from the bottom. All the students from the class appeared for an examination. If the ratio of the students who passed in the examination to those who failed is `4:1` for the class, how many students were there in the class?

Options

A. 60
B. 75
C. 90
D. Data inadequate

Answer

B

Explanation

Amisha is 22nd from the top and Anuja is 5 ranks below Amisha. So, Anuja is 27th from the top. Also, Anuja is 34th from the bottom. So, Number of students passed - (26 + 1 + 33) = 60, Let the number of students passed and the number failed be 4x and x respectively. Then, 4x = 60 or x = 15. Hence, number of students in the class = (60 + 15) = 75.