One-fourth of the students of a school play cricket and two-third of the rest play football. The remaining 400 students do not play either of the games. How many students are there in the school?

800

1600

1800

2400

None of these


Description (বিবরণ) :

প্রশ্ন: One-fourth of the students of a school play cricket and two-third of the rest play football. The remaining 400 students do not play either of the games. How many students are there in the school?

ব্যাখ্যা:

Fraction of students playing cricket = 1/4

Fraction of students playing football = 2/3 of (1 - 1/4) = 2/3 x 3/4 = 2/4 = 1/2

Fraction of remaining students = 1 - (1/4 + 1/2) = 1 - (1 + 2)/4 = 1 - 3/4 = 1/4

ATQ,  1/4 of the students = 400

So, total number of students = 400 x 4 = 1600.


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