Home
Class 12
MATHS
If a N = { ax : x in N} then the set 4N ...

If a N = `{ ax : x in N}` then the set `4N cap 6N` is

A

8N

B

10 N

C

12 N

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
`4N={4,8,12,16,20,24….} and 6N ={6,12,18,24…}
Hence ,`4N cap 6N`={ 12,24,36 …} = 12 N`
Promotional Banner

Topper's Solved these Questions

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE|Exercise Archieves|1 Videos

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE|Exercise Exercise 1.5|12 Videos

  • SEQUENCE AND SERIES

    CENGAGE|Exercise Question Bank|1 Videos

  • SETS AND RELATIONS

    CENGAGE|Exercise Question Bank|3 Videos

Similar Questions

Explore conceptually related problems

If N_(a) ={an:n in N}, then N_(5)capN_(7) = (Here N is the set of natural numbers)

If A={x:x=2^(n),n inWandnlt4},B={x:x=2n,n inNNandle4} and C = {0, 1, 2, 5, 6}, then verify the associative property of intersection of sets.

If n(A cup B cup C)=73, n(A)=2x, n(B)=3x, n(C)=5x, n(A cap B)=10, n(B cap C)=15, n(A cap C)=5 and n(A cap B cap C)=3 , then the value of x is ........

If |x^n x^(n+2)x^(2n)1x^a a x^(n+5)x^(a+6)x^(2n+5)|=0,AAx in R ,w h e r en in N , then value of a is n b. n-1 c. n+1 d. none of these

If tanx=ntany ,n in R^+, then the maximum value of sec^2(x-y) is equal to (a) ((n+1)^2)/(2n) (b) ((n+1)^2)/n (c) ((n+1)^2)/2 (d) ((n+1)^2)/(4n)

If (1 + ax)^(n) = 1 + 6x + 27/2 x^(2) + ...... + a^(n)x^(n) , then the values of a and n are respectively

If X""=""{4^n-3n-1"":""n in N}""a n d""Y""=""{9(n-1)"": n in N} , where N is the set of natural numbers, then XuuY is equal to (1) N (2) Y - X (3) X (4) Y

Find the number of subsets of A if A = { X : X = 4n +1, 2 lt= n lt= 5, n in NN }

If A={a : a in N, 2 le a lt 6}, B={b : b in N, b lt 10}, C={x: x^(2)-7x+10=0} , then verify that A-(B cup C)=(A-B) cap (A-C)

CENGAGE-SET THEORY AND REAL NUMBER SYSTEM -Exercises
  1. Two sets have m and k elements. If the total number of subsets of the ...

    Text Solution

    |

  2. Let A and B be two non empty subsets of a set X such that A is not a s...

    Text Solution

    |

  3. If a N = { ax : x in N} then the set 4N cap 6N is

    Text Solution

    |

  4. The set (A cap B')cup (B cap C) equals

    Text Solution

    |

  5. For sets (A cup B) cup ( A cap B)equals

    Text Solution

    |

  6. The set (A cap B')cup (B cap C) equals

    Text Solution

    |

  7. The shaded region in the given figure is

    Text Solution

    |

  8. Which is the simplified representation of (A' cap B' cap C) cup (B cap...

    Text Solution

    |

  9. In statistical survey of 1003 families has neither a radio nor a TV, 7...

    Text Solution

    |

  10. A survey shows that 63 % of the pepole watch a news channel whereas , ...

    Text Solution

    |

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

    Text Solution

    |

  12. Complete solution set of inequlaity ((x+2)(x+3))/((x-2)(x-3))le1

    Text Solution

    |

  13. The number of intergal values of x if 5x -1 lt (x+1)^2 lt 7 x-3 is

    Text Solution

    |

  14. If set A ={x|(x^2(x-5)(2x-1))/((5x+1)(x+2)) lt 0 } and Set B={x|(3x...

    Text Solution

    |

  15. Number of intergers satisfying the inequality x^4- 29x^2+100 le 0 i...

    Text Solution

    |

  16. If n gt 0 and exactly 15 integers satisfying (x+6)(x-4 ) (x-5) (2x-...

    Text Solution

    |

  17. The set of all x satisying the inequility (4x-1)/(3x+1) ge 1 is

    Text Solution

    |

  18. The complete solution set of inequality ((x-5)^(1005)(x+8)^(1008)(x-1)...

    Text Solution

    |

  19. Sum of solution of the equation |x|^3-4|x|^2+3|x|=0 is

    Text Solution

    |

  20. Number of intergral roots of |x-1||x^2-2|=2 is

    Text Solution

    |