Home
Class 12
MATHS
The function f:N->N defined by f(x)=x-5[...

The function `f:N->N` defined by `f(x)=x-5[x/5]` where N is a set of natural numbers, then

A

one-one and onto.

B

one-one but no onto.

C

onto but not one-one.

D

neither one-one nor onto.

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 QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|19 Videos

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS )|20 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

The function f:N rarr N defined by f(x)=x-5[(x)/(5)] where N is a set of natural numbers,then

If f:N rarr N is defined by f(x)=2x+5 then f is

Define a function f:R rarr R by f(x)=max{|x|,|x-1|,...|x-2n|} where n is a fixed natural number then int_(0)^(2n)f(x)dx is

The mapping f : N to N given by f(n)=1+n^(2), n in N , where N is the set of natural numbers, is

A mapping from N to N is defined as follows F:N rarrN given by f(n) = (n+5)^(2),n in N (N is the set of natural numbers) then

If f:NrarrZ defined as f(n)={{:((n-1)/(2),":"," if n is odd"),((-n)/(2),":", " if n is even"):} and g:NrarrN defined as g(n)=n-(-1)^(n) , then fog is (where, N is the set of natural numbers and Z is the set of integers)

MCGROW HILL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-QUESTION FROM PREVIOUS YEARS AIEEE/JEE MAIN PAPERS
  1. Let a, b, c in R. If f (x) = ax^(2) + bx + c is such that a + b + c = ...

    Text Solution

    |

  2. let f(x)=2^(10)x+1 and g(x)=3^(10)x+1. If fog(x)=x, then x is equal to

    Text Solution

    |

  3. The function f:N->N defined by f(x)=x-5[x/5] where N is a set of natur...

    Text Solution

    |

  4. Let Z be the set of integers. If A = {x in Z : 2(x + 2)(x^(2) - 5x + 6...

    Text Solution

    |

  5. Let N denotes the set of all natural numbers. Define two binary relati...

    Text Solution

    |

  6. Consider the following two binary relations on the set A={a,b,c} R(1...

    Text Solution

    |

  7. Two sets A and B are as under A=|(a,b) in RxxR:|a-5| lt 1 and |b-5| lt...

    Text Solution

    |

  8. Let S = {x in R: x ge0 and 2|sqrtx -3| + sqrtx (sqrtx -6)+ 6-0} The...

    Text Solution

    |

  9. Let f: A->B be a function defined as f(x)=(x-1)/(x-2), where A=R-{2) a...

    Text Solution

    |

  10. For x in R-{0,1}, " let " f(1)(x)=(1)/(x), f(2)(x)=1-x and f(3)(x)=(1)...

    Text Solution

    |

  11. Let f(x)=a^(x)(a gt 0) be written as f(x)=f(1)(x)+f(2)(x), " where " f...

    Text Solution

    |

  12. Let A ={x in R : x is not an integer} Define f : A to R as f(x) = (2x)...

    Text Solution

    |

  13. Let N be the set of numbers and two functions f and g be defined as f,...

    Text Solution

    |

  14. Let a function f:(0,infty)to[0,infty) be defined by f(x)=abs(1-1/x). T...

    Text Solution

    |

  15. Let f: R to R be defined by f(x)=(x)/(1+x^(2)), x in R. Then, the ra...

    Text Solution

    |

  16. In a class 140 students numbered 1 to 140, all even numbered students ...

    Text Solution

    |

  17. Let S={1,2,3, …, 100}. The number of non-empty subsets A to S such tha...

    Text Solution

    |

  18. If f(x)=log(e)((1-x)/(1+x)),|x| lt 1, " then " f((2x)/(1+x^(2))) is e...

    Text Solution

    |

  19. If the function f: R -{1,-1} to A definded by f(x)=(x^(2))/(1-x^(2)), ...

    Text Solution

    |

  20. The domain of the definition of the function f(x)=(1)/(4-x^(2))+log(...

    Text Solution

    |