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In a group of students, 147 play football, 155 play hockey, 160 play cricket, 36 play football and hockey, 44 play football and cricket, 25 play hocke
Question

In a group of students, 147 play football, 155 play hockey, 160 play cricket, 36 play football and hockey, 44 play football and cricket, 25 play hockey and cricket, and 15 play all three games. Find the total number of students in the group.

A.

366

B.

372

C.

350

D.

345

Correct option is B

Given:
In a group of students, 147 play football, 155 play hockey, 160 play cricket, 36 play football and hockey, 44 play football and cricket, 25 play hockey and cricket, and 15 play all three games.
From the given information Venn diagram will be:
Substituting the values:
Total = (147 + 155 + 160) − (36 + 44 + 25) + 15
= 462 - 105 + 15
= 357 + 15
= 372
Thus, the correct option is: (b) 372

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