Question : In an examination, 52% of students failed in Hindi and 42% in English. If 17% failed in both subjects, what percentage of students passed in both subjects?
Option 1: 38%
Option 2: 33%
Option 3: 23%
Option 4: 18%
Correct Answer: 23%
Solution :
Let the total number of students who appeared for the examination be 100%.
Now, the number of students who failed in Hindi only = (42 − 17) = 25%
Number of students who failed in English only = (52 − 17) = 35%
The total number of students who failed
= Students failed in Hindi only + Students failed in English only + Students failed in both
= 25 + 35 + 17
= 77%
So, the number of students who get passed in both subjects = (100 − 77) = 23%
Hence, the correct answer is 23%.
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