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1. 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. 360
  • B. 360
  • C. 360
  • D. 360

Answer: Option B

Explanation:

Fraction of students playing Football = 1/2

Fraction of students playing Cricket = 1/3 of the remaining 1/2 = 1/6

Now, fraction of the students not playing either of the games = 1 - (1/2 + 1/6) = 1 - (3 + 1)/6 = 1/3

According to the question, 1/3 of the students = 300

So, the number of total students = 300 x 3 = 900.


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