Question : In an examination, 19% of students failed in Mathematics and 10% of students failed in English. If 7% of all students failed in both subjects, then the percentage who passed both subjects is:
Option 1: 36% of all students
Option 2: 64% of all students
Option 3: 71% of all students
Option 4: 78% of all students
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Correct Answer: 78% of all students
Solution :
Students failed in Mathematics = 19% of all students
Students failed in English = 10% of all students
Students failed in both subjects = 7% of all students
Total students failed = Students failed in Mathematics + Students failed in English – Student failed in both subjects
= (19% + 10%) – 7%
= 22% of all students
So, the total number of students who passed
= 100% – 22%
= 78% of all students
Hence, the correct answer is 78% of all students.
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