While preparing the progress reports of the students, the class t… - Vidyadip

MCQ

While preparing the progress reports of the students, the class teacher found that 70% of the students passed in Hindi, 80% passed in English and only 65% passed in both the subjects. Find out the percentage of students who failed in both the subjects.

✓
15%
B
20%
C
30%
D
35%

✓

Answer

Correct option: A.

15%

The sets E and H represent the students failing in the respective subjects.
n(H ∪ E) = 1− 0.65 = 0.35
By set theory
n(H ∩ E) = n(H) + n(E) − n(N ∪ E)
= 0.3 + 0.2 − 0.35 = 0.15
Hence 15% of students failed in both subjects.

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