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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. Students passed in Physics are what percent of students passed in Mathematics?
  • a)
    95%
  • b)
    90%
  • c)
    85%
  • d)
    80%
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Direction: In a college, there are 600 students who are doing B.Sc wi...
Understanding the Problem
To solve the problem, we need to analyze the data provided regarding the students passing in different subjects - Physics, Chemistry, and Mathematics.
Total Students
- Total students = 600
Percentage of Students Passing in Each Subject
- Students passed in Physics = 75% of 600 = 450
- Students passed in Chemistry = 53% of 600 = 318
Students Passing in Specific Combinations
- 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 passed in both Physics and Chemistry only = 20% of 600 = 120
- Students passed in all three subjects = 14(1/6)% of 600 = 85
Calculating Total Students Passing in Each Subject
- Physics only = Students in Physics - (Students in Physics and Chemistry only + Students in Physics and Mathematics only + Students in all subjects)
- Students in Physics only = 450 - (120 + 240 + 85) = 5
- Chemistry only = Students in Chemistry - (Students in Physics and Chemistry only + Students in Mathematics and Chemistry only + Students in all subjects)
- Students in Chemistry only = 318 - (120 + 100 + 85) = 13
- Mathematics only = Students in Mathematics - (Students in Physics and Mathematics only + Students in Mathematics and Chemistry only + Students in all subjects)
- Let’s denote total Mathematics students as M.
Finding the Percentage of Students Passed in Physics to Mathematics
- Ratio of students passed in Physics to Mathematics = 9:10
- Let Physics students = 9x and Mathematics = 10x
Setting up the equation:
450 = 9x => x = 50
Thus, Mathematics students = 10x = 500
Calculating the Percentage
- Students passed in Physics (450) as a percentage of students passed in Mathematics (500):
(450 / 500) * 100 = 90%
Conclusion
Thus, the percentage of students passed in Physics compared to those passed in Mathematics is 90%. The correct answer is option B.
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Community 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
Percentage% = (450/500)×100=90%
Hence, option (b) is the answer.
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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. Students passed in Physics are what percent of students passed in Mathematics?a)95%b)90%c)85%d)80%e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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