Home
Class 11
MATHS
Suppose A(1) ,A(2) ,. . . .,A(30) are ...

Suppose `A_(1) ,A_(2) ,. . . .,A_(30) ` are thirty sets each with fvie elements and `B_(1),B_(2), .. . .,B_(n)` are n sets elements such that `bigcup_(i=1)^(30)A_(i)= bigcup _(i=1)^(n)B_(i)` and exactly 9 of the `B_(j)`'s then the value of n , is

A

15

B

135

C

45

D

90

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SETS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|30 Videos
  • SETS

    OBJECTIVE RD SHARMA|Exercise Section I - Solved Mcqs|24 Videos
  • SEQUENCES AND SERIES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos
  • STRAIGHT LINES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|34 Videos

Similar Questions

Explore conceptually related problems

Suppose a_1,A_2,.....,A_30 are thirty sets each with five elements and B_1, B_2,.......,B_n are n sets each with 3 elements. Let uuu_(i = 1)^30 A_i = uuu_(i=1)^n = S. Assume that each element of S belongs to exactly 10 elements of A_i and exactly 9 of B_j. Find n

Suppose A_1,A_2….. A_(30) are thirty sets each having 5 elements and B_1B_2…..B_n are n sets each having 3 elements ,Let overset(30)underset(i=1)bigcupA_1=overset(n)underset(j=1)bigcupB_j=s and each element of S belongs to exactly 10 of the A_1 and exactly 9 of the value of n.

if a,A_(1),A_(2),A_(3)......,A_(2n),b are in A.P.then sum_(i=1)^(2n)A_(i)=(a+b)

If n>=3 and a_(1),a_(2),a_(3),.....,a_(n-1) are n^(th) roots of unity,then the sum of sum_(1<=i

if sum_(i=1)^(n)a_(i)=0, where |a_(i)|=1,AA i then the value of sum_(1

If n arithmetic means A_(1),A_(2),---,A_(n) are inserted between a and b then A_(2)=

OBJECTIVE RD SHARMA-SETS-Exercise
  1. if set A and B are defined as A={(x,y):y=e^(x),x in R} B={(x,y):y=...

    Text Solution

    |

  2. Let A={(x,y):y=e^(x) , x in R } B={(x,y),Y=e^(-x) ,x in R}then

    Text Solution

    |

  3. Suppose A(1) ,A(2) ,. . . .,A(30) are thirty sets each with fvie ...

    Text Solution

    |

  4. IF sets A and B are defined as A={(x,y):y-(1)/(x),0ne x in R} B= {(x...

    Text Solution

    |

  5. if a N={a x:x iin N} and b N cap c N , where b,c in Nare relative...

    Text Solution

    |

  6. If aN = {ax|x in N} and bN nn cN = dN, where b,c in N, then

    Text Solution

    |

  7. In a town of 10,000 families it was found that 40% family buy newspape...

    Text Solution

    |

  8. In a town of 10000 families, it was found that 40% families buy ne...

    Text Solution

    |

  9. Consider the set A of all matrices of order 3 xx 3 with entries 0 or 1...

    Text Solution

    |

  10. if A and B are two sets , then A cap (A cup B) equals

    Text Solution

    |

  11. if n(A)=n, then P(A) has

    Text Solution

    |

  12. if A ={phi ,{phi}}, then the power set of A is

    Text Solution

    |

  13. Let A and B have 3 and 6 elements respectively , what can be the...

    Text Solution

    |

  14. Two finite sets have m and n elements . The total number of subs...

    Text Solution

    |

  15. if X and Y are two sets , then X cap (Y cup X)'equals

    Text Solution

    |

  16. Let A= {x: is a multiple of 3 } and B= { x:x is a multiple of 5}...

    Text Solution

    |

  17. Let A ={1,2,3},B={3,4},C={4,5,6}.thenAcup (B cap C)is

    Text Solution

    |

  18. Let A and B be two non-empty subsets of a set X such that A is ...

    Text Solution

    |

  19. Let U be the universal set for sets A and B such that n(A) =200 ...

    Text Solution

    |

  20. Out of 800 boys in a school, 224 played cricket, 240 played hockey and...

    Text Solution

    |