Question : Directions: In a group of 50 students, 25 play Hockey, 30 play Football, and 8 play no games. What is the number of students who play both Hockey and Football?
Option 1: 10
Option 2: 11
Option 3: 12
Option 4: 13
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Correct Answer: 13
Solution :
Given:
Total number of students = 50
Number of students who play hockey = 25
Number of students who play football = 30
Number of students who play neither sport = 8
Let the number of students that participate in both football and hockey = a.
⇒ 50 = 25 + 30 – a + 8
⇒ 50 = 55 – a + 8
⇒ a = 55 + 8 – 50
⇒ a = 63 – 50 = 13
So, 13 students play both football and hockey. Hence, the fourth option is correct.
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