In an examination 34% failed in Mathematics and 42% failed in English. If 20% failed in both the subjects, the percentage of students who passed in both subjects was
Options:
A .  44%
B .  50%
C .  56%
D .  54%
Answer: Option A Answer: (a) Let total number of students = 100 Number of failures in Maths = 34 Number of failures in English = 42 Number of failures in both subjects = 20 Number of failures in Maths or English or both = 34 + 42 – 20 = 56 Number of students who passed in both subjects = 100 – 56 = 44 The required percentage = 44% Using Rule 23, a = 34%, b = 42%, c = 20% Passed candidates in both the subjects = 100 – (a + b – c) = 100 – (34 + 42 – 20) = 100 – 56 = 44%
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