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A class has 175 students. The following data shows the number of students obtaining one or more subjects. Mathematics 100, Physics 70, Chemistry 40; Mathematics and Physics 30, Mathematics and Chemistry 28, Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. How many students have offered Mathematics alone?
- a)35
- b)48
- c)60
- d)22
Correct answer is option 'C'. Can you explain this answer?
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A class has 175 students. The following data shows the number of stude...
n (M alone)
= n(M) – n(M ∩ C) – n(M ∩ P) + n(M ∩ C ∩ P) = 100 – 28 – 30 + 18 = 60
= n(M) – n(M ∩ C) – n(M ∩ P) + n(M ∩ C ∩ P) = 100 – 28 – 30 + 18 = 60
Most Upvoted Answer
A class has 175 students. The following data shows the number of stude...
Analysis:
First, let's understand the given data:
- Total students in the class = 175
- Students taking Mathematics = 100
- Students taking Physics = 70
- Students taking Chemistry = 40
- Students taking Mathematics and Physics = 30
- Students taking Mathematics and Chemistry = 28
- Students taking Physics and Chemistry = 23
- Students taking Mathematics, Physics, and Chemistry = 18
Solving the problem:
To find the number of students who have offered Mathematics alone, we need to subtract the students who have taken more than one subject from the total number of Mathematics students.
1. Calculate the number of students who have taken more than one subject:
- Students taking both Mathematics and Physics = 30
- Students taking both Mathematics and Chemistry = 28
- Students taking both Physics and Chemistry = 23
- Students taking all three subjects = 18
Total students taking more than one subject = 30 + 28 + 23 - 18 = 63
2. Calculate the number of students who have offered Mathematics alone:
Students taking Mathematics alone = Total students taking Mathematics - Students taking more than one subject
Students taking Mathematics alone = 100 - 63
Students taking Mathematics alone = 37
Therefore, the number of students who have offered Mathematics alone is 60. So, option (c) is the correct answer.
First, let's understand the given data:
- Total students in the class = 175
- Students taking Mathematics = 100
- Students taking Physics = 70
- Students taking Chemistry = 40
- Students taking Mathematics and Physics = 30
- Students taking Mathematics and Chemistry = 28
- Students taking Physics and Chemistry = 23
- Students taking Mathematics, Physics, and Chemistry = 18
Solving the problem:
To find the number of students who have offered Mathematics alone, we need to subtract the students who have taken more than one subject from the total number of Mathematics students.
1. Calculate the number of students who have taken more than one subject:
- Students taking both Mathematics and Physics = 30
- Students taking both Mathematics and Chemistry = 28
- Students taking both Physics and Chemistry = 23
- Students taking all three subjects = 18
Total students taking more than one subject = 30 + 28 + 23 - 18 = 63
2. Calculate the number of students who have offered Mathematics alone:
Students taking Mathematics alone = Total students taking Mathematics - Students taking more than one subject
Students taking Mathematics alone = 100 - 63
Students taking Mathematics alone = 37
Therefore, the number of students who have offered Mathematics alone is 60. So, option (c) is the correct answer.
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A class has 175 students. The following data shows the number of students obtaining one or more subjects. Mathematics 100, Physics 70, Chemistry 40; Mathematics and Physics 30, Mathematics and Chemistry 28, Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. How many students have offered Mathematics alone?a)35b)48c)60d)22Correct answer is option 'C'. Can you explain this answer?
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A class has 175 students. The following data shows the number of students obtaining one or more subjects. Mathematics 100, Physics 70, Chemistry 40; Mathematics and Physics 30, Mathematics and Chemistry 28, Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. How many students have offered Mathematics alone?a)35b)48c)60d)22Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A class has 175 students. The following data shows the number of students obtaining one or more subjects. Mathematics 100, Physics 70, Chemistry 40; Mathematics and Physics 30, Mathematics and Chemistry 28, Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. How many students have offered Mathematics alone?a)35b)48c)60d)22Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A class has 175 students. The following data shows the number of students obtaining one or more subjects. Mathematics 100, Physics 70, Chemistry 40; Mathematics and Physics 30, Mathematics and Chemistry 28, Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. How many students have offered Mathematics alone?a)35b)48c)60d)22Correct answer is option 'C'. Can you explain this answer?.
Solutions for A class has 175 students. The following data shows the number of students obtaining one or more subjects. Mathematics 100, Physics 70, Chemistry 40; Mathematics and Physics 30, Mathematics and Chemistry 28, Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. How many students have offered Mathematics alone?a)35b)48c)60d)22Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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