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In an exam of two papers maths and chemistry, 60% of the students pass in maths and 70% pass in chemistry. What is minimum percentage of students who could have failed in both the subjects?
  • a)
    0%
  • b)
    30%
  • c)
    40%
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In an exam of two papers maths and chemistry, 60% of the students pass...
Since, we have to find the minimum percentage, it can be possible that no one has failed in both the subjects.
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Most Upvoted Answer
In an exam of two papers maths and chemistry, 60% of the students pass...
I had a problem with this one but I finally understood it . here it goes ...so the fail percentage is 30 in chemistry and 40 in mathematics so that means out of 10 students assumimg named 1-10 the first three failed in chemistry (i.e 1,2,3) and the students from (4,5,6,7) failed in mathematics thus none of them failed in both
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Community Answer
In an exam of two papers maths and chemistry, 60% of the students pass...
Given:
- Percentage of students passing in maths = 60%
- Percentage of students passing in chemistry = 70%

To find:
- Minimum percentage of students who could have failed in both the subjects

Approach:
- We know that the total percentage of students who passed in at least one subject cannot be greater than 100%.
- Using this fact, we can find the minimum percentage of students who could have failed in both subjects.

Calculation:
- Let's assume that all the students who passed in maths also passed in chemistry. Then, the total percentage of students who passed in at least one subject = 60%.
- Similarly, let's assume that all the students who passed in chemistry also passed in maths. Then, the total percentage of students who passed in at least one subject = 70%.
- Since both these assumptions cannot be true at the same time, the actual percentage of students who passed in at least one subject lies between 60% and 70%.
- Therefore, the minimum percentage of students who could have failed in both subjects = 100% - (percentage of students who passed in at least one subject)
- = 100% - (between 60% and 70%)
- = 0% to 40%
- Since we need to find the minimum percentage, the answer is 0%.

Therefore, option (A) is the correct answer.
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In an exam of two papers maths and chemistry, 60% of the students pass in maths and 70% pass in chemistry. What is minimum percentage of students who could have failed in both the subjects?a)0%b)30%c)40%d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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