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Select the correct answerIn an examination 70% candidates passed in prelims and 55% candidates passed in Mains. If 62% candidates passed in both these subjects, then what per cent of candidates failed in both the exams?Options26%37%43%15%

Question

Select the correct answerIn an examination 70% candidates passed in prelims and 55% candidates passed in Mains. If 62% candidates passed in both these subjects, then what per cent of candidates failed in both the exams?Options26%37%43%15%

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Solution

To solve this problem, we need to understand that the percentage of students who passed both exams is included in the percentage of students who passed each individual exam.

  1. Start by adding the percentage of students who passed the prelims (70%) to the percentage of students who passed the mains (55%). This gives us 125%.

  2. However, we've counted the students who passed both exams twice, so we need to subtract the percentage of students who passed both exams (62%) from our total. This gives us 125% - 62% = 63%.

  3. This 63% represents the students who passed at least one of the exams. Therefore, the percentage of students who failed both exams is 100% - 63% = 37%.

So, the correct answer is 37%.

This problem has been solved

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