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  1. In an examination, 52% students failed in Hindi and 42% in English. If 17% failed in both the subjects, what percentage of students passed in both the subjects ?
    1. 38%
    2. 33%
    3. 23%
    4. 18%
Correct Option: C

Let the total number of students = 100
∴ Number of students who failed in Hindi or English or both
= 52 + 42 – 17 = 77
∴ Number of students who passed in both subjects
= 100 – 77 = 23%
∴ Required percentage = 23
Aliter : Using Rule 23,
a = 52%, b = 42%, c = 17%
Passed candidates
= 100 – (52 + 42 – 17)
= 100 – (94 – 17)
= 100 – 77 = 23%



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