Among 160 players in a tournament, 57 did not participate in any of the three games, i.e. Cricket, Hockey and Badminton. A total of 37 players participated in only one game, 10 players participated in both Cricket and Hockey but not in Badminton, 9 players participated in both Hockey and Badminton but not Cricket, 13 players participated in both Cricket and Badminton but not in Hockey. How many students participated in all the three games?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e 34
The following Venn Diagram can be drawn fom the given information:
We need to fing G (Players who participated in all the three games),
A + B + C + D + E + F + G + H = 160
⇒ G = 160 - {(A + B + C) + D + E + F + H}
⇒ G = 160 - (37 + 13 + 10 + 9 + 57)
⇒ G = 34