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Read the information given below carefully and answer. 
In a survey of a class of 60 students, it was found that 25 had passed in Mathematics, 30 had passed in Physics and 41 had passed in Chemistry. 5 students had passed in Mathematics and Chemistry only, 12 had passed in Mathematics and Physics only and 15 had passed in Physics and Chemistry only. 2 students passed in all the three subjects.
Q. What is the number of students who passed in exactly two subjects?
  • a)
    15
  • b)
    2
  • c)
    32
  • d)
    20
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Read the information given below carefully and answer.In a survey of a...
Filling in the information given in the question in a Venn Diagram we get:

As given in the question, 30 students passed in Physics. So, 30 – (12 + 15 + 2) = 1 student passed in Physics only
Similarly, 25 students passed in Mathematics. So, only 6 students passed in Mathematics only. 41 students passed in Chemistry.
Therefore, 19 students passed in Chemistry only. The final picture that emerges from all this is shown below:

The class contains only 60 students. It can be seen from the diagram that all the 60 student have been accounted for. So, it can be concluded that none of the students failed in all the three subjects.
The number of students who passed in exactly two subjects = Number of students
who passed in Physics and Chemistry + Number of students who passed in Chemistry and Mathematics + Number of students who passed in Physics and Mathematics = 15 + 5 + 12 = 32
Hence, option (c) is the correct answer.
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Read the information given below carefully and answer.In a survey of a class of 60 students, it was found that 25 had passed in Mathematics, 30 had passed in Physics and 41 had passed in Chemistry. 5 students had passed in Mathematics and Chemistry only, 12 had passed in Mathematics and Physics only and 15 had passed in Physics and Chemistry only. 2 students passed in all the three subjects.Q.What is the number of students who passed in exactly two subjects?a)15b)2c)32d)20Correct answer is option 'C'. Can you explain this answer?
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