Question

In an examination, 53 passed in Maths, 61 passed in Physics, 60 in Chemistry, 24 in Maths & Physics, 35 in Physics & Chemistry, 27 in Maths & Chemistry and 5 in none. Total number of students who had appeared in the examination was 100.
Then, the number of students who passed in all subjects is___

Answer 1

Option (c)

S = I + 2II + 3III = 53 + 61 + 60 = 174 --------- (a)

Given that II +3III = 24 + 35 + 27 = 86--------------(b)

(a)-(b) gives us the I +II= 88

Out of 100 students, 5 have passed in none

Therefore, the number of students who have passed in all 3 = 95-88 = 7