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In a class, 220 play cricket where as 120 play hockey and 60 play tennis. If 90 play both cricket and hockey, 70 play both cricket and tennis and 40 play both hockey and tennis. If 25 of the students play all 3 games then the number of students in the class, if each of the students plays atleast one game, is

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240

320

225

250

answer is A.

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Detailed Solution

$n (C) = 220, n (H) = 120, n (T) = 60 n (C \cap H) = 90, n (C \cap T) = 70, n (H \cap T) = 40 n (C \cap H \cap T) = 25 ∴ n (C \cup H \cup T) = 220 + 120 + 60 - 90 - 70 - 40 + 25 = 225$

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