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 A class has 175 students. The following table shows the number of students studying one or more of the following subjects in this case

                         Subjects                                  No. of students

                         Mathematics                                    100

                         Physics                                             70

                         Chemistry                                         46

                         Mathematics and Physics                     30

                         Mathematics and Chemistry                  28

                         Physics and Chemistry                         23

                         None of 3 subjects      22

1)Find how many students study all the Three subjects?

2)Find how many students study exactly 1 subject ?

2 Answers

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We Should approach this kind of question (specially for 2-nd Q) using Venn Diagram.

Q-1->>Ans is x= 18 from diagram which is no. of students who study all the three subjects.

Q-2-->>Ans is 108 Add Only(M+P+C) from diagram to get students who study exactly one subject:--

42+x+x-5+17+x=54+3x=108

So Ans is 18 & 108 Respectively

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A.18

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