Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Functions question

2017 · 9 Apr · Shift 1 · Q30
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Functions
  5. /2017 · 9 Apr · Shift 1 · Q30

Functions question

2017 · 9 Apr · Shift 1 · Q30

JEE MainMathematicsFunctionsMCQ+4 / −1
The function f : N →\to→ N defined by f (x) = x −-− 5 [x5],\left[ {{x \over 5}} \right],[5x​], Where N is the set of natural numbers and [x] denotes the greatest integer less than or equal to x, is :
  1. A
    one-one and onto
  2. B
    one-one but not onto.
  3. C
    onto but not one-one.
  4. D
    neither one-one nor onto.
PreviousNext

More from Functions

  • Let a, b, c ∈R. If f(x) = ax2 + bx + c is such that a+ b + c = 3 and f(x + y) = f(x) + f(y) + xy, ∀x,y∈R, then n=1∑10​f(n) is equal to2017 · MCQ
  • The function f:R→[−21​,21​] defined as f(x)=1+x2x​, is2017 · MCQ
  • For x ∈ R, x e 0, Let f0(x) = 1−x1​ and fn+1 (x) = f0(fn(x)), n = 0, 1, 2, . . . . Then the value of f100(3) + f1 (32​) + f2 (23​) is equal to :2016 · MCQ
  • If f(x)+2f(x1​)=3x,xeq0, and S={x∈R:f(x)=f(−x)}; then S:2016 · MCQ
  • The domain of the function f(x) = ∣x∣−x​1​ is2011 · MCQ
  • For real x, let f(x) = x3 + 5x + 1, then2009 · MCQ
  • Let f(x)=(x+1)2−1,x≥−1 Statement - 1 : The set {x:f(x)=f−1(x)}={0,−1}. Statement - 2 : f is a bijection.2009 · MCQ
  • Let f:N→Y be a function defined as f(x) = 4x + 3 where Y = { y ∈ N, y = 4x + 3 for some x ∈ N }. Show that f is invertible and its inverse is2008 · MCQ