Home
Class 9
MATHS
For all p, such that 1 leple100, if n(A(...

For all p, such that `1 leple100`, if `n(A_(p))`=p+2 and `A_(1)subA_(2)subA_(3)sub. . . .subA_(100)` and `underset(p=3)overset(100)(cap)A_(p)=A`, then n(A)=

A

3

B

4

C

5

D

6

Text Solution

Verified by Experts

The correct Answer is:
C

(i) When `A_(1)subA_(2)sub. . . . subA_(n)` then `underset(i=1)overset(n)(cap)A_(i)=A_(1)`
(ii) If `A sub B`, then `A cap B=A`
(iv) Find `n(A_(3))` by using `m(A_(P))=p+2`.
Promotional Banner

Topper's Solved these Questions

  • SETS AND RELATIONS

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL 2|24 Videos
  • SETS AND RELATIONS

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL 3|8 Videos
  • SETS AND RELATIONS

    PEARSON IIT JEE FOUNDATION|Exercise Easy type|5 Videos
  • SALES TAX AND COST OF LIVING INDEX

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|14 Videos
  • SHARES AND DIVIDENDS

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (LEVEL 3)|10 Videos

Similar Questions

Explore conceptually related problems

For all p, such that 1leple100,n(A_(p))=p+1 and A_(1)subA_(2)sub. . .. .subA_(100) . Then underset(p=1)overset(100)(U)A_(p) contains. _______elements

For all p, such that 1<=p<=100 if n(A_(p))=p+2 and A_(1)sub A_(2)sub A_(3)sub......sub A_(100) and nnn_(p=1)^(100)A_(p)=A then n(A)=

If A_(1),A_(2),..., A_(100) are sets such that n(A_(i))=i+2,A_(1)subA_(2)subA_(3)...subA_(100)and underset(i=3)overset(100)nnA_(i)=A,then n(A)=

If n(A_(i))=i+1and A_(1)subA_(2)sub... subA_(99),then n(underset(i-1)overset(99)UA_(i))=

Let A_(1),A_(2),A_(3),…, A_(100) be 100 seta and such that n(A_(1))=i+1and A_(1)subA_(2)subA_(3)sub...A_(100),then underset(i=1)overset(100)UAj contains… elements

If a_(1),a_(2),a_(3),...,a_(100) are in A P such that a_(1)+a_(3)+a_(4)+a_(3)+a_(7)=20 then a_(4)=

Let a_(1),a_(2),a_(3),... be a G.P such that log_(10)(a_(m))=(1)/(n) and log_(10)(a_(n))=(1)/(n) then

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

a_(1),a_(2),a_(3),......,a_(n), are in A.P such that a_(1)+a_(3)+a_(5)=-12 and a_(1)a_(2)a_(3)=8 then

a_(1),a_(2),a_(3)...,a_(n) are in A.P.such that a_(1)+a_(3)+a_(5)=-12 and a_(1)a_(2)a_(3)=8 then:

PEARSON IIT JEE FOUNDATION-SETS AND RELATIONS-LEVEL 1
  1. If p(n) is the set of first n prime numbers, then underset(n=2)overset...

    Text Solution

    |

  2. If P(n) is the set of first n prime numbers, then underset(n=3)overset...

    Text Solution

    |

  3. If n(mu)=100,n(A)=50,n(B)=20 and n(A cap B)=10, then n[(AcupB)]=

    Text Solution

    |

  4. Let Z denote the set of integers, then (x in Z,|x-3|lt4cap{x inZ:|x-4|...

    Text Solution

    |

  5. If A={n:(n^(3)+5n^(2)+2)/(n) is an integer and n itself is an integer}...

    Text Solution

    |

  6. If A=(1,2,3), then the relation R={(1,1)(2,2),(3,1),(1,3)} is

    Text Solution

    |

  7. If n(AxxB) =45, then n(A) cannot be

    Text Solution

    |

  8. If A,B and C are three non=empty sets such that A and B are disjoint a...

    Text Solution

    |

  9. R and S are two sets such that n(R)=7 and R cap Snephi Further n(S)=6 ...

    Text Solution

    |

  10. Consider the following statements: (i) Every reflexive relation is a...

    Text Solution

    |

  11. The relation is not equal to is defined on the set of real numbers is ...

    Text Solution

    |

  12. If R={(a,b)//|a+b|=|a|+|b|} is a relation on a set {-1,0,1} then R is

    Text Solution

    |

  13. For all p, such that 1 leple100, if n(A(p))=p+2 and A(1)subA(2)subA(3)...

    Text Solution

    |

  14. If R={(a,b)//a+b=4} is a relation on N, then R is

    Text Solution

    |

  15. Let R be a relation defined on S, the set of squares on a chess board ...

    Text Solution

    |

  16. Let A = {ONGC, BHEL, SAIL, GAIL, IOCL} and R be a relation defined as ...

    Text Solution

    |

  17. X is the set of all engineering colleges in the state of A.P and R is ...

    Text Solution

    |

  18. In the following figure, which of the following can be the value of (A...

    Text Solution

    |

  19. In a class, each student likes either cricket or football 40% of the s...

    Text Solution

    |

  20. For all p, such that 1leple100,n(A(p))=p+1 and A(1)subA(2)sub. . .. .s...

    Text Solution

    |