In a group of 110 students, 23 students did not participate in any of the two games: Badminton and Chess. 45 students participated in Badminton and 61 students participated in Chess. How many students participated in Badminton only?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 26.
Total number of students = 110
Number of students who did not participate in any of the two games = 23
Number of students who took part in Badminton = 45
Number of students who took part in Chess = 61
Number of students who participated = 110 - 23 = 87
Number of students who participated in both games = Number of students who took part in Badminton + number of students who took part in Chess - Number of students who participated = 45 + 61 - 87 = 106 - 87 = 19
Number of students who participated in badminton only = Number of students who took part in badminton - number of students who participated in both games = 45 - 19 = 26