Home
Class 12
MATHS
Let N be the set of natural numbers and ...

Let N be the set of natural numbers and for `a in N`, aN denotes the set `{ax : x in N}`. If `bNnncN=dN`, where b, c, d are natural numbers greater than 1 and the greatest common divisor (GCD) of b and c is 1, then d equals

A

max {b,c}

B

min {b,c}

C

bc

D

b+c

Text Solution

Verified by Experts

The correct Answer is:
C
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

On the set N of natural numbers, delined the relation F by a R b if the GCD of a and b is 2, then R is

What would be the digit in the 10th place of 7^n where 'n' is a natural number greater than 1 ?

Let N denote the set of natural numbers and A = {n^(2) : a in N} andB= {n^(3) : n in N} . Which one of the following is not correct?

A number of the form 8^(n) , where n is a natural number greater than 1, cannot be divisible by __________.

The number of elements of the set {x: X in N,x^(2) = 1} where N is the set of all natural numbers is :

If a is a rational number,then prove that a^(n) will be a rational number,where n is a natural number greater than 1.

On the set N of all natural numbers define the rational R by aRb iff the G.C.D. of a and b is 2. Then R is

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

    |