Home
Class 12
MATHS
There is a group of 265 persons who like...

There is a group of 265 persons who like either singing or dancing or painting. In this group 200 like singing, 110 like dancing and 55 like painting. If 60 persons like both singing and dancing, 30 like both singing and painting and 10 like all three activities, then the number of persons who like only dancing and painting is

A

10

B

20

C

30

D

40

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2013

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

  • QUESTION PAPER 2015

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

There is a group of 265 persons who like either singing or dancing or painting. In this group 200 like singing, 110 like dancing and 55 painting. If 60 persons like both singing and dancing, 30 like both singing and painting and 10 like all these activities, then the number of persons who like only dancing and painting is___

In a group of 70 people, 37 like coffee, 52 like tea and each person likes at least one of the two drinks. How many people like both coffee and tea?

In a group of 70 people,37like coffee,52 like tea and each person likes at least one of the two drinks .How many people like both coffee and tea?

If 53% of persons like oranges where 66% like apples, what can be said about the percentage of persons who like both oranges and apples?

In a group of 65 people, 40 like cricket, 10 like both cricket and tennis. How many like tennis only and not cricket? How many like tennis?

In a class there are 115 students of which 65 like cricket, 45 like football and 42 like hockey, 20 like both football and cricket, 25 like both cricket and hockey and 15 like both hockey and football. Further 8 of the students like all the three games. Number of students who like exactly one game

In a class there are 115 students of which 65 like cricket, 45 like football and 42 like hockey, 20 like both football and cricket, 25 like both cricket and hockey and 15 like both hockey and football. Further 8 of the students like all the three games. Number of students who like at least one of these three games

In a class there are 115 students of which 65 like cricket, 45 like football and 42 like hockey, 20 like both football and cricket, 25 like both cricket and hockey and 15 like both hockey and football. Further 8 of the students like all the three games. Number of students who like exactly two games

A dinner party is to be fixed for a group of 100 persons. In this party, 50 persons do not prefer fish,60 prefer chicken and 10 do not prefer either chicken or fish. The number of persons who prefer both fish and chicken is

In a school 80 students like chocolate , 40 like coffee if the number of he student does not like any of hem is equal to the number of student who like both of them then what is the total number of students in the school ?

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2014-MULTIPLE CHOICE QUESTIONS
  1. Let RR be the set of all real numbers and f:[-1,1] to RR be defined by...

    Text Solution

    |

  2. If a, b and c are positive numbers in a G.P., then the roots of th...

    Text Solution

    |

  3. There is a group of 265 persons who like either singing or dancing o...

    Text Solution

    |

  4. The range of the function y=3sin(sqrt((pi^(2))/(16)-x^(2))) is

    Text Solution

    |

  5. The value of lim( x to 0) (int(0)^(x^(2)) cos(t^(2))dt)/(x sinx) is

    Text Solution

    |

  6. Let f(x) be a differentiable function and f'(4)=5. Then lim(x to 2) (f...

    Text Solution

    |

  7. The sum of the series sum(n=1)^(oo) sin((n !pi)/(720)) is

    Text Solution

    |

  8. Let I denote the 3xx3 identity matrix and P be a matrix obtained by ...

    Text Solution

    |

  9. The coefficient of x^(3) in the infinite series expansion of (2)/((1-x...

    Text Solution

    |

  10. For every real number x, let f(x)=(x)/(1!)+(3)/(2!) x^(2)+(7)/(3!) x...

    Text Solution

    |

  11. Let S denote the sum of the infinite series 1+(8)/(2!)+(21)/(3!) +(40...

    Text Solution

    |

  12. Let [x] denote the greatest integer less than or equal to x for any re...

    Text Solution

    |

  13. Suppose that f(x) is a differentiable function such that f'(x) is con...

    Text Solution

    |

  14. Let z(1) be a fixed point on the circle of radius 1 centered at the o...

    Text Solution

    |

  15. Suppose that z(1), z(2), z(3) are three vertices of an equilateral tr...

    Text Solution

    |

  16. The curve y=(cosx+y)^(1//2) satisfies the differential equation

    Text Solution

    |

  17. In the Argand plane, the distinct roots of 1+z+z^(3)+z^(4)=0(z is a co...

    Text Solution

    |

  18. If A, B, C are the angles of a triangle then tan ((B+C)/2)=

    Text Solution

    |

  19. Let alpha, beta be the roots of x^(2)-x-1=0 and S(n)=a^(n)+beta^(n), f...

    Text Solution

    |

  20. A fair six-faced die is rolled 12 times. The probability that each fac...

    Text Solution

    |