In an examination 53 of the candidates failed in science and 48 failed in mathematics If 40 failed i...........

Quantitative Aptitude (CPO) Percentage

In an examination, 53% of the candidates failed in science and 48% failed in mathematics. If 40% failed in both subjects, what

percentage passed in both subjects?

This questions was previously asked in

SSC CPO 13th-March-2019-Shift-1

51%

39%

49%

43%

To solve this problem, we use the principle of inclusion-exclusion for set operations related to percentages:

- 53% of candidates failed in science.

- 48% of candidates failed in mathematics.

- 40% of candidates failed in both subjects.

Now, we calculate the percentage of candidates who failed in at least one subject:

- Percentage failed in at least one subject = Failed Science + Failed Math - Failed Both

- = 53% + 48% - 40% = 61%

- Therefore, the percentage of candidates who passed in both subjects is the complement of those who failed at least one subject.

- So, passed in both = 100% - 61% = 39%.

- Correct Answer: Option:2 - 39%

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