Home
Class 12
MATHS
A college warded 38 medals in football, ...

A college warded 38 medals in football, 15 in basketball and 20 in cricket. If these medals went to a total of 58 men and only three men got medals in all the three sports, how many received medals in exactly two of the three sports?

A

7

B

9

C

11

D

13

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS AIEEE/JEE MAIN PAPERS|50 Videos
  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos
  • STATISTICS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|13 Videos

Similar Questions

Explore conceptually related problems

A school awarded 42 medals in hockey, 18 in basketball and 23 in cricket. If these medals were bagged by a total of 65 students and only 4 students got medals in all the three sports, how many students received medals in exactly two of the three sports ?

A school awarded 58 medals in three sports, namely 38 in football, 15 in basketball and 20 in cricket. If 3 students got medals in all the three sports, how many received medals in exactly two sports ?

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?

In a group of players in a college,20 are in the basketball team,24 in the hockey team and 27 in the cricket team.If 12 play hockey and basketball,10 play cricket and basketball,14 play hockey and cricket and 7 play all the three games,then the total number of players in the group is (a) 42 (b) 43 (c) 45 (d) 49

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

Directions (Questions 519 to 523): These questions are based on the following information: Children in a class play only one or two or all of the three games – badminton, football and cricket. 5 children play only cricket, 8 children play only football and 7 children play only badminton. 3 children play only two games – badminton and football, 4 children play only 2 games cricket and football, and another 4 children play only two games – badminton and cricket. 2 children play all the three games. How many children play football as well as cricket? (a) 4 (b) 6 (c) 7 (d) 15 (e) None of these

MCGROW HILL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS
  1. Let f: (1 to infty) to (1, infty) be defined by f(x) =(x+2)/(x-1). The...

    Text Solution

    |

  2. Let A ={(x,y): x gt 0, y gt 0, x^(2) + y^(2) =1} and let B={(x,y) : x ...

    Text Solution

    |

  3. A college warded 38 medals in football, 15 in basketball and 20 in cr...

    Text Solution

    |

  4. Let Q be the set of all rational numbers and R be the relation defined...

    Text Solution

    |

  5. The domain of the function f(x) =1/(3-log(3)(x-3)) is

    Text Solution

    |

  6. Le f: R to R be a function defined by f(x) = x^(2009) + 2009x + 2009 ...

    Text Solution

    |

  7. Let f be a function defined on [-pi/2, pi/2] by f(x) = 3cos^(4)x - 6 c...

    Text Solution

    |

  8. Consider the following relations R(1) = {(x,y) : x and y are intege...

    Text Solution

    |

  9. Let f and g be functions defined by f(x) =1/(x+1), x in R, x ne -1 and...

    Text Solution

    |

  10. Let N be the set of natural numbers and for a in N, aN denotes the set...

    Text Solution

    |

  11. Let f(x) = (x+1)^(2) - 1, (x ge - 1). Then, the set S = {x : f(x) = f^...

    Text Solution

    |

  12. Let f:Rrarr R be a function defined by, f(x)=(e^|x|-e^-x)/(e^x+e^-x t...

    Text Solution

    |

  13. If f is a function of real variable x satisfying f(x+4)-f(x+2)+f(x)=0 ...

    Text Solution

    |

  14. If A and B are two finite sets such that the total number of subsets o...

    Text Solution

    |

  15. If f(x) + 2 f(1 – x) = x^2 +1,AA x in R, then the range of f is :

    Text Solution

    |

  16. The function f(x) = (x )/( 1+ |x|) is

    Text Solution

    |

  17. In a survey it was found that 21 people liked product A, 26 liked p...

    Text Solution

    |

  18. Let R be a relation over the set NxxN and it is defined by (a,b)R(c,d)...

    Text Solution

    |

  19. The number of elements in the set A cap B cap C, where A ={(x,y) i...

    Text Solution

    |