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In a class 45% students study Mathematics, 55% study Physics, 40% study Chemistry, 30% study Mathematics and Physics, 15% study Physics and Chemistry, 25% study Mathematics and Chemistry and 10% study all three subjects. What percentage do not read any subject?
- a)10%
- b)15%
- c)25%
- d)20%
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
In a class 45% students study Mathematics, 55% study Physics, 40% stud...
n(M) = 45
n(P) = 55
n(C) = 40
n(M ∩ P) = 30
n(P ∩ C) = 15
n(M ∩ C) = 25
n(M ∩ P ∩ C) = 10
Total % of students studying
= 20 + 10 + 15 + 5 + 10 + 20 = 80%
Total % of students not studying = 100 – 80 = 20%
n(P) = 55
n(C) = 40
n(M ∩ P) = 30
n(P ∩ C) = 15
n(M ∩ C) = 25
n(M ∩ P ∩ C) = 10
Total % of students studying
= 20 + 10 + 15 + 5 + 10 + 20 = 80%
Total % of students not studying = 100 – 80 = 20%
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Community Answer
In a class 45% students study Mathematics, 55% study Physics, 40% stud...
- Given information:
- 45% of students study Mathematics.
- 55% of students study Physics.
- 40% of students study Chemistry.
- 30% of students study Mathematics and Physics.
- 15% of students study Physics and Chemistry.
- 25% of students study Mathematics and Chemistry.
- 10% of students study all three subjects.
To find out the percentage of students who do not study any subject, we need to subtract the percentage of students who study at least one subject from 100%.
Let's calculate step by step:
Step 1: Calculate the percentage of students who study at least one subject:
- Students who study Mathematics: 45%
- Students who study Physics: 55%
- Students who study Chemistry: 40%
Step 2: Calculate the percentage of students who study more than one subject:
- Students who study Mathematics and Physics: 30%
- Students who study Physics and Chemistry: 15%
- Students who study Mathematics and Chemistry: 25%
Step 3: Calculate the percentage of students who study all three subjects:
- Students who study all three subjects: 10%
Step 4: Calculate the percentage of students who study at least one subject:
- Students who study at least one subject = (Students who study Mathematics) + (Students who study Physics) + (Students who study Chemistry) - (Students who study Mathematics and Physics) - (Students who study Physics and Chemistry) - (Students who study Mathematics and Chemistry) + (Students who study all three subjects)
- Students who study at least one subject = 45% + 55% + 40% - 30% - 15% - 25% + 10%
- Students who study at least one subject = 80%
Step 5: Calculate the percentage of students who do not read any subject:
- Students who do not read any subject = 100% - Students who study at least one subject
- Students who do not read any subject = 100% - 80%
- Students who do not read any subject = 20%
Therefore, the percentage of students who do not read any subject is 20%. So, the correct answer is option 'D'.
- 45% of students study Mathematics.
- 55% of students study Physics.
- 40% of students study Chemistry.
- 30% of students study Mathematics and Physics.
- 15% of students study Physics and Chemistry.
- 25% of students study Mathematics and Chemistry.
- 10% of students study all three subjects.
To find out the percentage of students who do not study any subject, we need to subtract the percentage of students who study at least one subject from 100%.
Let's calculate step by step:
Step 1: Calculate the percentage of students who study at least one subject:
- Students who study Mathematics: 45%
- Students who study Physics: 55%
- Students who study Chemistry: 40%
Step 2: Calculate the percentage of students who study more than one subject:
- Students who study Mathematics and Physics: 30%
- Students who study Physics and Chemistry: 15%
- Students who study Mathematics and Chemistry: 25%
Step 3: Calculate the percentage of students who study all three subjects:
- Students who study all three subjects: 10%
Step 4: Calculate the percentage of students who study at least one subject:
- Students who study at least one subject = (Students who study Mathematics) + (Students who study Physics) + (Students who study Chemistry) - (Students who study Mathematics and Physics) - (Students who study Physics and Chemistry) - (Students who study Mathematics and Chemistry) + (Students who study all three subjects)
- Students who study at least one subject = 45% + 55% + 40% - 30% - 15% - 25% + 10%
- Students who study at least one subject = 80%
Step 5: Calculate the percentage of students who do not read any subject:
- Students who do not read any subject = 100% - Students who study at least one subject
- Students who do not read any subject = 100% - 80%
- Students who do not read any subject = 20%
Therefore, the percentage of students who do not read any subject is 20%. So, the correct answer is option 'D'.
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In a class 45% students study Mathematics, 55% study Physics, 40% study Chemistry, 30% study Mathematics and Physics, 15% study Physics and Chemistry, 25% study Mathematics and Chemistry and 10% study all three subjects. What percentage do not read any subject?a)10%b)15%c)25%d)20%Correct answer is option 'D'. Can you explain this answer?
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