SSC CGL (Prelims) General: Set Theory questions with solutions

Q1. In a sports survey of 150 students, determine the ratio of students who play Cricket to those who play Badminton. The number who play both Cricket and Badminton is 30, those who play Cricket but not Badminton are 50, those who play Badminton but not Cricket are 40, and those who play neither sport are 30.

1. 8:7
2. 7:5
3. 8:9
4. 4:3

Answer: 8:7

Students who play Cricket = 50 + 30 = 80. Students who play Badminton = 40 + 30 = 70. Therefore, the ratio of Cricket to Badminton is \(80:70 = 8:7\).