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?

A 800
B 1600
C 1800
D 2400

Correct Answer: 1600

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.
Bissoy MCQ
#গণিত #সেট (Set) #Mercantile Bank Ltd #Mercantile Bank Ltd - Officer - 2008

Related Questions

The members of a club participate in at least one game. Twenty of them play football, 10 play cricket, 12 play hokey. Three of them play cricket only, 4 of them play both the cricket and football but not hockey, 2 of them participate all games. How many people play both cricket and hockey but not football?
A 1
B 2
C 3
D None of these
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
Half of the student 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
In a room there are six Bengali, twelve engineers and fifteen football players. Only one of them was a bengali Engineer who played Football. Two were Bengali Engineers but did not play football and two were Bengali football players and were not engineers. If there were 24 people in the room, and at least one of them were Bengali, engineer or a football player, how many were engineers and played football but not bngali?
A 1
B 9
C 6
D 3
120 students in a class play cricket or football or both. If 75 students play cricket and 60 students play football, how many play both?
A 15
B 16
C 76
D 38
All 120 students in a class play cricket or football or both, 75 play cricket and 60 play football. How many students play both?
A 13
B 15
C 20
D 25
All 115 students in a class play football or cricket or both. 65 play cricket and 60 play football. How many students play both?
A 15
B 10
C 20
D 25
All 115 students in a class play football or cricket or both . 65 play cricket and 60 play football. How many students play both ?
A 15
B 10
C 20
D 25
Out of 80 students, 35% can play only cricket 45% can play only able tennis and the remaining students can play both the games. How many can play cricket among all students.
A 28
B 36
C 44
D 64
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?
A One-third of the boys play neither cricket nor football
B Two-third of the boys play only football
C One -Fourth of the boys play neither cricket nor football
D Two-fifth of the boys play only football

Next steps