Half of the students of a school play football and one third of the rest play cricket. The remaining 300 students do not play either of the games. How many students are there in the school?

A 900
B 360
C 550
D 1800

Correct Answer: 900

Fraction of students playing football = 1/2 Fraction of students playing cricket = 1/3 x 1/2 = 1/6 Fraction of students not playing either of the games = 1 - (1/2 + 1/6) = 1/3 If 1/3 of total students = 300 Then, number of total students = 300 x 3/1 = 900.
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Related Questions

In a class , three-fourth of the boys play football, one-half play cricket, one fourth of those who play cricket do not play football. Which of the following statements is definitely true?
In a class, three-fourth of the boys play football, one-half play cricket, one-fourth of those who play cricket do not play football.

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