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In an examination out of 100 students, 75 passed in English, 60 passed in Mathematics and 45 passed in both English and Mathematics. What is the number of students passed in exactly one of the two subjects?
- a)45
- b)60
- c)75
- d)90
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
In an examination out of 100 students, 75 passed in English, 60 passed...
Since, n(E) = 75, n(M)
= 60 and n(E ∩ M) = 45
Hence, n(E∪M) = n(E) + n(M) - n(E ∩M)
= 75 + 60 - 45 = 90
Required number of students = 90 - 45 = 45
= 60 and n(E ∩ M) = 45
Hence, n(E∪M) = n(E) + n(M) - n(E ∩M)
= 75 + 60 - 45 = 90
Required number of students = 90 - 45 = 45
Most Upvoted Answer
In an examination out of 100 students, 75 passed in English, 60 passed...
To find the number of students who passed in exactly one of the two subjects, we need to subtract the number of students who passed in both subjects from the total number of students who passed in each subject individually.
Let's break down the given information:
- Total number of students = 100
- Number of students who passed in English = 75
- Number of students who passed in Mathematics = 60
- Number of students who passed in both English and Mathematics = 45
Now, let's calculate the number of students who passed in exactly one of the two subjects:
1. Calculate the number of students who passed in English only:
Number of students who passed in English only = Number of students who passed in English - Number of students who passed in both English and Mathematics
Number of students who passed in English only = 75 - 45 = 30
2. Calculate the number of students who passed in Mathematics only:
Number of students who passed in Mathematics only = Number of students who passed in Mathematics - Number of students who passed in both English and Mathematics
Number of students who passed in Mathematics only = 60 - 45 = 15
3. Add the number of students who passed in English only and Mathematics only:
Number of students who passed in exactly one of the two subjects = Number of students who passed in English only + Number of students who passed in Mathematics only
Number of students who passed in exactly one of the two subjects = 30 + 15 = 45
Therefore, the number of students who passed in exactly one of the two subjects is 45.
Let's break down the given information:
- Total number of students = 100
- Number of students who passed in English = 75
- Number of students who passed in Mathematics = 60
- Number of students who passed in both English and Mathematics = 45
Now, let's calculate the number of students who passed in exactly one of the two subjects:
1. Calculate the number of students who passed in English only:
Number of students who passed in English only = Number of students who passed in English - Number of students who passed in both English and Mathematics
Number of students who passed in English only = 75 - 45 = 30
2. Calculate the number of students who passed in Mathematics only:
Number of students who passed in Mathematics only = Number of students who passed in Mathematics - Number of students who passed in both English and Mathematics
Number of students who passed in Mathematics only = 60 - 45 = 15
3. Add the number of students who passed in English only and Mathematics only:
Number of students who passed in exactly one of the two subjects = Number of students who passed in English only + Number of students who passed in Mathematics only
Number of students who passed in exactly one of the two subjects = 30 + 15 = 45
Therefore, the number of students who passed in exactly one of the two subjects is 45.
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In an examination out of 100 students, 75 passed in English, 60 passed in Mathematics and 45 passed in both English and Mathematics. What is the number of students passed in exactly one of the two subjects?a)45b)60c)75d)90Correct answer is option 'A'. Can you explain this answer?
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In an examination out of 100 students, 75 passed in English, 60 passed in Mathematics and 45 passed in both English and Mathematics. What is the number of students passed in exactly one of the two subjects?a)45b)60c)75d)90Correct answer is option 'A'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about In an examination out of 100 students, 75 passed in English, 60 passed in Mathematics and 45 passed in both English and Mathematics. What is the number of students passed in exactly one of the two subjects?a)45b)60c)75d)90Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an examination out of 100 students, 75 passed in English, 60 passed in Mathematics and 45 passed in both English and Mathematics. What is the number of students passed in exactly one of the two subjects?a)45b)60c)75d)90Correct answer is option 'A'. Can you explain this answer?.
In an examination out of 100 students, 75 passed in English, 60 passed in Mathematics and 45 passed in both English and Mathematics. What is the number of students passed in exactly one of the two subjects?a)45b)60c)75d)90Correct answer is option 'A'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about In an examination out of 100 students, 75 passed in English, 60 passed in Mathematics and 45 passed in both English and Mathematics. What is the number of students passed in exactly one of the two subjects?a)45b)60c)75d)90Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an examination out of 100 students, 75 passed in English, 60 passed in Mathematics and 45 passed in both English and Mathematics. What is the number of students passed in exactly one of the two subjects?a)45b)60c)75d)90Correct answer is option 'A'. Can you explain this answer?.
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