In an examination, 34% of the students failed in Mathematics and 42%…

Question

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

Accepted Answer

Option D. 56%. Answer & Solution Answer: Option D Solution: & n ( A ) = 34 & n ( B ) = 42 & n ( A B ) = 20 & So, & n ( A B ) & = n ( A ) + n ( B ) - n ( A B ) & = 34 + 42 - 20 & = 56 ∴ Percentage failed in either or both the subjects = 56%