In an examination, 65% of the students passed in Mathematics, 48% passed in Physics and 30% passed in both. How much percent of students failed in both the subjects ?

A. 17%

B. 43%

C. 13%

D. 47%

Answer: Option A

Solution(By Examveda Team)

Pass students in Mathematics = 65%
Pass students in Physics = 48%
Student pass in both subject Mathematics and Physics = 30%
Student only pass in Mathematics = 65 - 30 = 35%
Student only pass in Physics = 48 - 30 = 18%
Percentage of Failed students in both subjects :
= 100 - [ student pass only in Mathematics + student pass only in Physics + student pass in both subject]
= [100 - (35 + 18 + 30)]
= 17%