Home
Class 11
MATHS
There are 880 boys in a school. Out of t...

There are 880 boys in a school. Out of these 224 boys play cricket, 240 boys play hockey and 336 boys play basketball, 64 boys play both hockey and basketball, 80 boys play both cricket and basketball and 40 boys play both cricket and hockey. If 24 boys play all these three, then find the number of boys play none of these three game.

Text Solution

Verified by Experts

The correct Answer is:
`= 240`
Promotional Banner

Topper's Solved these Questions

  • SETS

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE : 1|23 Videos

  • SETS

    KUMAR PRAKASHAN|Exercise TEXTBOOK BASED MCQs|25 Videos

  • SETS

    KUMAR PRAKASHAN|Exercise EXERCISE 1.6|8 Videos

  • SEQUENCE AND SERIES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems -Question of Module|19 Videos

  • STATISTICS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST)|9 Videos

Similar Questions

Explore conceptually related problems

In a group of children, 35 play football out of which 20 play football only, 22 play hockey, 25 play cricket out of which 11 play cricket only. Out of these 7 play cricket and football but not hockey, 3 play football and hockey but not cricket and 12 play football and cricket both. How many play all the three games ? How many play cricket and hockey but not football, how many play hockey only? What is the total number of children in the group?

Of the members of three athletic teams in a certain school, 21 are in the basketball team, 26 in hockey team and 29 in the football team. 14 play hockey and basket ball, 15 play hockey and football, 12 play football and basketball and 8 play all the three games bow many members are there in all?

In a class of 35 students, 24 like to play cricket and 16 like to play football. Also, each student likes to play at least one of the two games. How many students like to play both cricket and football ?

In a class of 60 students, 25 students play cricket and 20 students play tennis and 10 students play both the games. Find the number of students who play neither.

In a cricket match a batswoman hits a boundary 6 times out of 30 balls she plays . Find the probability that she did not hit a boundary.

25% of the students in a school are girls and others are boys. Form an equation and draw a graph for this. By observing the graph, answer the following : (i) Find the number of boys, if the number of girls is 25. (ii) Find the number of girls, if the number of boys is 45. (iii) Take three different values for number of boys and find the number of girls. Similarly take three different values for number of girls and find the number of boys?

In the next world cup of cricket there will be 12 teams, divided equally in two groups. Teams of each group will play a match against each other. From each group 3 top teams will qualify for the next round.In this round each team will play against other once. Each of the four top teams of this round will play amatch against the other three. Two top teams of this round will go to the final round, where they will playthe best of three matches. The minimum number of matches in the next world cup will be

3 boys are pulling a heavy trolley by means of 3 ropes. The boy in the middle is exerting a pull of 100 N . The other 2 boys, whose ropes both make an angle of 30^(@) with the centre rope, are pulling with forces of 50 sqrt(3)N & 100 sqrt(3)N . Find the magnitude of the resultant pull the trolley. Consider all the forces in the same plane.

Which of the following are sets? Justify your answer (i) The collection of all the months of a year begimng with the letter "J". (ii) The collection of ten most talented writers of India. (iii) A team of eleven best cricket batsmen of the world. (iv) The collectionofall boys in your class. (v) The collection of all even integers.

A boy playing on the roof of a 10 m high building throws a ball with a speed of 10 m//s at an angle of 30(@) with the horizontal. How far from the throwing point will the ball be at the height of 10 m from the ground ? [ g = 10m//s^(2) , sin 30^(@) = (1)/(2) , cos 30^(@) = (sqrt(3))/(2)]

KUMAR PRAKASHAN-SETS-PRACTICE WORK
  1. Taking the set of natural numbers as the universal set, write down the...

    Text Solution

    |

  2. U= {x|x in N, 1 le x le 10}, A= {1, 3, 5, 7, 9}" and "B= {2, 5, 8}. Ve...

    Text Solution

    |

  3. Fill in the blanks to make each of the following a true statement : ...

    Text Solution

    |

  4. Fill in the blanks to make each of the following a true statement : ...

    Text Solution

    |

  5. Fill in the blanks to make each of the following a true statement : ...

    Text Solution

    |

  6. Fill in the blanks to make each of the following a true statement : ...

    Text Solution

    |

  7. Fill in the blanks to make each of the following a true statement : ...

    Text Solution

    |

  8. Fill in the blanks to make each of the following a true statement : ...

    Text Solution

    |

  9. In a town, 20% population travel by car, 50% travel by bus and 10% pop...

    Text Solution

    |

  10. Out of 100 students, 55 passed in Mathematics and 67 passed in Physics...

    Text Solution

    |

  11. In a survey of a society, 1000 people speak Gujarati or Hindi. 50% peo...

    Text Solution

    |

  12. In a school there are 20 teachers who teach mathematics or physics. Of...

    Text Solution

    |

  13. If A and B be two sets containing 3 and 6 elements respectively. What ...

    Text Solution

    |

  14. In a twon of 840 persons, 450 persons read Hindi 300 read English and ...

    Text Solution

    |

  15. There are 880 boys in a school. Out of these 224 boys play cricket, 24...

    Text Solution

    |

  16. A students has freedom to study any subject of his choice. In a group ...

    Text Solution

    |

  17. In a class of 30 students, 12 students like emboidary, 16 students lik...

    Text Solution

    |

  18. A and B are two sets. (A - B) cup B= A if and only if B sub A.

    Text Solution

    |

  19. A - (B capC) = (A - B) cap (A-C) .

    Text Solution

    |

  20. For any two sets A and B, prove that A cup B= A cap B iff A = B.

    Text Solution

    |