Home
Class 12
MATHS
In a group of 200 students, 20 played cr...

In a group of 200 students, 20 played cricket only, 36 plated tennis only, 40 played, hockey only, 8 played cricket and tennis, 20 played cricket and hockey, 28 played hockey and tennis and 80 played hockey. By Venn diagram, find the number of students who (i) played cricket (ii) played tennis (iii) did not played any of the above three games.

Text Solution

Verified by Experts

The correct Answer is:
`(##AAK_T5_MAT_C13_E01_050_S01##)`
(i) 40
(ii) 64
(iii) 64
Promotional Banner

Topper's Solved these Questions

  • SETS

    AAKASH INSTITUTE|Exercise SECTION-A(Objective Type Questions (One option is correct))|41 Videos

  • SETS

    AAKASH INSTITUTE|Exercise SECTION-B(Objective Type Question(One option is correct))|13 Videos

  • SETS

    AAKASH INSTITUTE|Exercise EXAMPLE|24 Videos

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - J) Aakash Challengers|12 Videos

  • STATISTICS

    AAKASH INSTITUTE|Exercise Section-C Assertion-Reason|15 Videos

Similar Questions

Explore conceptually related problems

Find out the number of students who play only cricket.

Out of 800 students in a school ,125 played cricket , 220 played football and 300 played hockey of the total, 28 played both hockey and football , 70 played cricket and football and 32 played cricket and hockey, 26 played all the three games . What is the number of students who did not play any game?

In a group of 50 students, the number of students playing Cricket is 17, Football is 13, Hockey is 15,9 play Cricket and Football, 4 play Football and Hockey, 5 play Hockey and Cricket and 3 play all the three games.Find the number of students who play: (i) Cricket only (ii) Football and Hockey and not Cricket (iii) Atleast one of three games (iv) None of the 3 games.

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.

Out of 120 members of a class, 50 play cricket ; 60 play Football ; 48 play Hockey, 18 play Cricket and Hockey ; 20 play Cricket and Football ; 24 play Hockey and Football and 10 play all the three games. Using Venn diagrams or otherwise answer the following ? (i) How many of them play only Cricket ? (ii) How many of them play none ?

In a class of 65 students , 30 students play cricket and 20 students play tennis and 10 students play both the games Then , the number of students who play neither is :

Out of 800 boys in a school,224 played cricket,240 played hockey and 336 played basketball.Of the total,64 played both basketball and hockey; 80 played cricket and basketball and 40 played cricket and hockey; 24 played all the three games.The number of boys who did not play any game is

AAKASH INSTITUTE-SETS -Try yourself
  1. Write down the complement of given set A (i) A={x,x in N}, set of wh...

    Text Solution

    |

  2. Write down the complement of given set A (i) N is universal set, A={...

    Text Solution

    |

  3. If universal set U={1,2,3,4,5,6,7,8,9}, A={1,5,6},B={4,8,9},C={3,2,6} ...

    Text Solution

    |

  4. If universal set, U={x:x is a letter in the phrase The MAD DONKEY} A...

    Text Solution

    |

  5. Draw the venn diagram to represent (i) A cap (B-A)' & (ii) A cup B(B...

    Text Solution

    |

  6. If U={1,2,3……10}, A={1,5,6}, B={3,4,5}, C={6,5,3,10}, then represent t...

    Text Solution

    |

  7. Prove A cup (B cap C)=(A cup B) cap(A cup C)

    Text Solution

    |

  8. Prove (A cap B)'=(A' cup B')

    Text Solution

    |

  9. If X and Y are two sets such that X cup Y has 50 elements, X has 24 el...

    Text Solution

    |

  10. If A and B are two sets such that A cup B has 64 elements, A has 40 el...

    Text Solution

    |

  11. If A and B are two sets such that n(A)=30, n(B)=26 and n(A cup B)=50,...

    Text Solution

    |

  12. If A and B are two sets such that n(A)=24, n(B)=13 and n(A cup B) =32 ...

    Text Solution

    |

  13. If n(U)=60, n(A)=26 and n(B)=36 where U is the universal set then find...

    Text Solution

    |

  14. If n(U)=1200, n(A)=900 and n(B)=700 where U is the universal set then ...

    Text Solution

    |

  15. In a class of 30 students, 13 like to eat cake and 26 like to eat ice ...

    Text Solution

    |

  16. In a class of 195 students, 115 like football, 130 like basket ball. I...

    Text Solution

    |

  17. In a group of students, there are 24 opting for photography and 26 opt...

    Text Solution

    |

  18. In an adventure trip, there are 50 people interested for camel riding ...

    Text Solution

    |

  19. In an university, out of 100 students, 16 opted mathematics only, 24 o...

    Text Solution

    |

  20. In a group of 200 students, 20 played cricket only, 36 plated tennis o...

    Text Solution

    |