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In an examination, 48% of candidates passed in science and 56% failed in mathematics. If 32% failed in both subjects, then what
percent passed in both subjects?
28%
22%
24%
32%
- The problem provides the following information:
- 48% of candidates passed in science.
- 56% failed in mathematics.
- 32% of candidates failed in both subjects.
- We wish to determine the percentage of candidates who passed both subjects.
- Use the formula: Passed both = Passed science + Passed math - Passed either (Total).
- Candidates who passed science = 48%, so failed science = 52%.
- Candidates who failed both subjects are part of those who failed math (since 56% failed math).
- Those who failed only math = 56% - 32% = 24%.
- Candidates who passed math = 100% - 56% = 44%.
- Passed in both = Total candidates - failed science - failed only math = 100% - 52% - 24% = 24%.
- So, the percentage of candidates who passed in both subjects is 24%.
- Correct Option: Option 3: 24%
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By: santosh ProfileResourcesReport error
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