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In a survey of 25 students, it was found that 15 had taken Mathematics, 12 had taken Physics and 11 had taken Chemistry, 5 had taken Mathematics and Chemistry, 9 had taken Mathematics and Physics, 4 had taken Physics and Chemistry and 3 had taken all the three subjects. 
The number of students who had taken only physics is: 
  • a)
    2
  • b)
    3
  • c)
    5
  • d)
    6
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In a survey of 25 students, it was found that 15 had taken Mathematics...

Only physics = 12 - ( 1 + 3 + 6) = 2
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Most Upvoted Answer
In a survey of 25 students, it was found that 15 had taken Mathematics...
Analysis:
- Given:
- Total number of students surveyed = 25
- Number of students who had taken Mathematics = 15
- Number of students who had taken Physics = 12
- Number of students who had taken Chemistry = 11
- Number of students who had taken Mathematics and Chemistry = 5
- Number of students who had taken Mathematics and Physics = 9
- Number of students who had taken Physics and Chemistry = 4
- Number of students who had taken all three subjects = 3

Solution:
To find the number of students who had taken only Physics:
- First, we need to find the total number of students who took Physics.
- Then, we subtract the students who took Physics and other subjects from the total to get the number of students who took only Physics.

Calculations:
- Total students who took Physics = 12
- Students who took Physics and Mathematics = 9
- Students who took Physics and Chemistry = 4
- Students who took all three subjects = 3
Total students who took Physics = 12
Students who took Physics and Mathematics = 9
Students who took Physics and Chemistry = 4
Students who took all three subjects = 3
Students who took only Physics = Total students who took Physics - (Students who took Physics and Mathematics + Students who took Physics and Chemistry - Students who took all three subjects)
Students who took only Physics = 12 - (9 + 4 - 3)
Students who took only Physics = 12 - 10
Students who took only Physics = 2
Therefore, the number of students who had taken only Physics is 2. Hence, the correct answer is option 'A'.
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In a survey of 25 students, it was found that 15 had taken Mathematics, 12 had taken Physics and 11 had taken Chemistry, 5 had taken Mathematics and Chemistry, 9 had taken Mathematics and Physics, 4 had taken Physics and Chemistry and 3 had taken all the three subjects.The number of students who had taken only physics is:a)2b)3c)5d)6Correct answer is option 'A'. Can you explain this answer?
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