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In a bank PO examination, 70% of candidates passed in prelims, and 65% of candidates passed in mains. If 62% of candidates passed in both these levels, then what percent of candidates failed in both the exam levels?
  • a)
    63%
  • b)
    27%
  • c)
    42%
  • d)
    58%
  • e)
    78%
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
In a bank POexamination, 70% of candidates passed in prelims, and 65% ...
Given information:
- 70% of candidates passed in prelims
- 65% of candidates passed in mains
- 62% of candidates passed in both prelims and mains exams

To find:
- The percentage of candidates who failed in both the exam levels

Solution:
Let's assume the total number of candidates who appeared for the exam as 100.

Prelims:
- 70% of candidates passed in prelims, so the number of candidates who passed in prelims = 70% of 100 = 70
- The number of candidates who failed in prelims = Total - Passed = 100 - 70 = 30

Mains:
- 65% of candidates passed in mains, so the number of candidates who passed in mains = 65% of 100 = 65
- The number of candidates who failed in mains = Total - Passed = 100 - 65 = 35

Both Prelims and Mains:
- 62% of candidates passed in both prelims and mains, so the number of candidates who passed in both exams = 62% of 100 = 62

Calculation:
- The number of candidates who passed in either prelims or mains = (Number of candidates who passed in prelims) + (Number of candidates who passed in mains) - (Number of candidates who passed in both prelims and mains)
- Number of candidates who passed in either prelims or mains = 70 + 65 - 62 = 73

- The number of candidates who failed in both the exam levels = Total - Number of candidates who passed in either prelims or mains = 100 - 73 = 27

Conclusion:
- The percentage of candidates who failed in both the exam levels = (Number of candidates who failed in both) / Total * 100 = 27 / 100 * 100 = 27%

Therefore, option 'B' (27%) is the correct answer.
Community Answer
In a bank POexamination, 70% of candidates passed in prelims, and 65% ...
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