In a class of 60 students, 35 students play cricket. How many students do not play cricket?
Answer and explanation
Correct answer: 25
Treat the complete class as the universal set, with 60 students in total. The cricket players form a subset containing 35 students, so the non-players form its complement. Assuming each student is counted once, the complement has 60 − 35 = 25 students. Therefore option A is correct. Option B is the number who play cricket, option C is the total class size, and option D results from an incorrect addition.
Frequently asked questions
What is the correct answer to this question?
25
Why is this the correct answer?
Treat the complete class as the universal set, with 60 students in total. The cricket players form a subset containing 35 students, so the non-players form its complement. Assuming each student is counted once, the complement has 60 − 35 = 25 students. Therefore option A is correct. Option B is the number who play cricket, option C is the total class size, and option D results from an incorrect addition.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Complement of a Set and Its Properties.
