In an examination 65 students passed in Civics and 60 in History 40 passed in both of these subjects...........

Quantitative Aptitude ( CCS) Percentage

In an examination, 65% students passed in Civics and 60% in History, 40% passed in both of these subjects. If 90 students failed in History and Civics both, then what is the total number of students?

600

650

700

750

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Explanation:

Let the total number of students be x
Number passed in one or both is given by :
n (A∪B) = n (A) + n (B) – n (A∩B) = 65% of x + 60% of x – 40% of x = 85% of x
Failed in Both = x – 85% of x = 15% of x
Hence 15% of x = 90 (Given)
x = 600