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Read the following information carefully and answer the question given below-
In the CBSE Board exams last year, 53% passed in Biology, 61% percent passed in English, 60% in Social Studies, 24% in Biology and English, 35% in English and Social Studies, 27% in Biology and Social Studies and 5% in none.
If the number of students in the class is 200, how many passed in only one subject?
  • a)
    48
  • b)
    46
  • c)
    More than 50
  • d)
    Less than 40
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Read the following information carefully and answer the question give...
Let people who passed all three be x. Then: 53 + 61 + 60 - 24 - 35 - 27 + x = 95
x = 7
Percentage of student passed only in 1 subject = 9 + 9 + 5 = 23%
Now 23% of 200 = 46 students
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Most Upvoted Answer
Read the following information carefully and answer the question give...
Analysis:
To find the number of students who passed in only one subject, we need to determine the number of students who passed in each combination of subjects and subtract the overlapping numbers.

Given Information:
- Total number of students in the class = 200
- Percentage of students who passed in each subject:
- Biology = 53%
- English = 61%
- Social Studies = 60%
- Percentage of students who passed in multiple subjects:
- Biology and English = 24%
- English and Social Studies = 35%
- Biology and Social Studies = 27%
- Percentage of students who passed in none of the subjects = 5%

Calculations:

1. Calculate the number of students who passed in each subject:
- Biology: (53/100) * 200 = 106
- English: (61/100) * 200 = 122
- Social Studies: (60/100) * 200 = 120

2. Calculate the number of students who passed in multiple subjects:
- Biology and English: (24/100) * 200 = 48
- English and Social Studies: (35/100) * 200 = 70
- Biology and Social Studies: (27/100) * 200 = 54

3. Calculate the number of students who passed in none of the subjects:
- None: (5/100) * 200 = 10

4. Calculate the number of students who passed in only one subject:
- Passed in Biology only: (106 - 48 - 54) = 4
- Passed in English only: (122 - 48 - 70) = 4
- Passed in Social Studies only: (120 - 70 - 54) = -4

Conclusion:
From the above calculations, we can determine that 4 students passed in only Biology, 4 students passed in only English, and no students passed in only Social Studies. Therefore, the number of students who passed in only one subject is 4 + 4 = 8. Hence, the correct option is (B) 46.
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Read the following information carefully and answer the question given below-In the CBSE Board exams last year, 53% passed in Biology, 61% percent passed in English, 60% in Social Studies, 24% in Biology and English, 35% in English and Social Studies, 27% in Biology and Social Studies and 5% in none.If the number of students in the class is 200, how many passed in only one subject?a)48b)46c)More than 50d)Less than 40Correct answer is option 'B'. Can you explain this answer?
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