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In a survey of 900 students, 400 students were interviewed in TCS, 310 students were interviewed in IBM and 470 students were interviewed in Infosys. Also, 110 students were interviewed in both TCS and IBM, 80 students were interviewed in both IBM and Infosys and 140 students were interviewed in both TCS and Infosys. If 50 students were interviewed in all three companies. Then, how many students were interviewed in only TCS?

In a survey of 900 students, 400 students were interviewed in TCS, 310 students were interviewed in IBM and 470 students were interviewed in Infosys. Also, 110 students were interviewed in both TCS and IBM, 80 students were interviewed in both IBM and Infosys and 140 students were interviewed in both TCS and Infosys. If 50 students were interviewed in all three companies. Then, how many students were interviewed in only TCS? Correct Answer 200

Given:

Total number of students = 900

Students were interviewed in TCS = 400

Students were interviewed in IBM = 310

Students were interviewed in Infosys = 470

 Students were interviewed in both TCS and IBM = 110

Students were interviewed in both IBM and Infosys = 80

Students were interviewed in both TCS and Infosys = 140

Students were interviewed in all three companies = 50

Concept:

Venn Diagram

Calculation:

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The number of students who interviewed in both TCS and Infosys = 140

Now, the number of students who interviewed in only TCS and Infosys = (140 – 50) = 90

∴ The number of students who interviewed in only TCS = (400 – 90 – 110)

⇒ 200

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