In an examination, 34% failed in Mathematics and 42% failed in English. If 20% failed in both the subjects, the percentage of students who passed in both subjects was :

A. 54%

B. 50%

C. 44%

D. 56%

Answer: Option C

Solution(By Examveda Team)

Failed students in Mathematics = 34%
Failed students in English = 42%
Student failed in both subject math and english = 20%
Student only fail in Math = 34 - 20 = 14%
Student only fail in English = 42 - 20 = 22%
Percentage of passed students in both subjects :
= 100 - [ student fail in maths + student fail in english + student fail in both subject]
= [100 - (14 + 20 + 22)]
= 44%