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Direction: In a college, there are 600 students who are doing B.Sc with three subjects viz. Physics, Chemistry and Mathematics. 75% students are passed in Physics and 53% students passed in Chemistry. 40% students passed in both Physics and Mathematics only and 16(2/3)% students passed in both Mathematics and Chemistry only. Ratio of students passed in Physics and Mathematics is 9:10. 20% students passed in both Physics and Chemistry only and 14(1/6)% students passed in all subjects.
Q. How many students passed in more than two subjects?
  • a)
    73
  • b)
    77
  • c)
    81
  • d)
    92
  • e)
    None of these
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
Direction: In a college, there are 600 students who are doing B.Sc wi...
Students are passed in Physics =(75/100)×600=450
Students are passed in Chemistry =(53/100)×600=318
Students are passed in Mathematics =(9/10)×500=500
Students passed in both Physics and Mathematics =(40/100)×600=240
Students passed in both Mathematics and Chemistry =(50/300)×600=100
Students passed in both Physics and Chemistry =(20/100)×600=120
Students passed in all subjects =(85/600)×600=85
Students passed in only Physics = 450 – (240 + 85 + 120) = 5
Students passed in only Chemistry = 318 – (100 + 85 + 120) = 13
Students passed in only Mathematics = 500 – (240 + 85 + 100) = 75
Students passed in more than two subjects = 85
Hence, option (e) is the answer.
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Community Answer
Direction: In a college, there are 600 students who are doing B.Sc wi...
Understanding the Problem
To find the number of students who passed in more than two subjects, we need to analyze the given data about students passing in different subjects.
Data Given
- Total students = 600
- Passed in Physics = 75% of 600 = 450 students
- Passed in Chemistry = 53% of 600 = 318 students
- Passed in both Physics and Mathematics only = 40% of 600 = 240 students
- Passed in both Mathematics and Chemistry only = 16(2/3)% of 600 = 100 students
- Ratio of students passed in Physics and Mathematics = 9:10
- Passed in both Physics and Chemistry only = 20% of 600 = 120 students
- Passed in all subjects = 14(1/6)% of 600 = 85 students
Calculation Breakdown
1. Finding Students Passed in Only Physics and Mathematics:
- Let the number of students passed in Physics = 450
- Let the number of students passed in Mathematics = 10x (from the ratio)
- Then, 9x = 450 → x = 50
- So, students passed in Mathematics = 10x = 500
2. Finding Students Passed in Each Subject:
- Total passed in Physics and Chemistry only = 120
- Total passed in Chemistry (318) minus those who passed all subjects (85) = 233.
- Hence, students passed in Chemistry only = 233 - 100 (Mathematics and Chemistry only) - 120 (Physics and Chemistry only) - 85 (all subjects) = -72 (impossible).
Conclusion
Thus, the calculations reveal inconsistencies, indicating that the data provided does not align properly. Hence, when it comes to those who passed in more than two subjects, the conclusion remains unclear. Therefore, the answer to the question about the number of students who passed in more than two subjects is "None of these."
Final Answer
- Correct answer is option 'E'.
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