question_answer

In a class of 110 students, x students take both Mathematics and Statistics, 2x + 20 students take Mathematics and 2x + 30 students take Statistics. There are no students who take neither Mathematics nor Statistics. What is x equal to?

A) 15                                

B) 20

C) 25                                

D) 30

Correct Answer: B

Solution :

Venn diagram of given condition is shown in figure Total students = Students those who take only mathematics + Student those who take only Statistics + Student those who take both mathematics and Statistics 110 = x + 20 + x + x + 30 \[\Rightarrow \] 3x = 60 \[\Rightarrow \]   x = 20