In a group of 400 boys, each boy plays atleast one of the games cricket, hockey and football. 185 play cricket, 165 play hockey and 160 play football. 40 boys play only cricket and football. 20 boys play only hockey and cricket. 10 boys play only hockey and football. How many boys play all the three games ?
Answer key: official UPPSC key
Partial paper: 145 of 150 questions · renumbered after deletions · 5 questions deleted from the official key are absent