Important Questions of Relations and Functions Mathematics | Zigya

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsMultiple Choice Questions

Advertisement
231.

If f(1) = 1, f(2n) = f(n) and f(2n + 1) = {f(n)}2 - 2 for n = 1, 2, 3, ... , then the value of f(1) + f(2) + ... + f(25) is

  • 1

  • - 15

  • - 17

  • - 1


232.

In a class of 80 students numbered 1 to 80, all odd numbered students opt for cricket, students whose numbers are divisible by 5 opt for football and those whose numbers are divisible by 7 opt for hockey. The number of students who do not opt any of the three game is

  • 13

  • 24

  • 28

  • 52


233.

A function f satisfies the relation f(n) = f(n2) + 6 for n  2  and f(2) = 8. Then, the value of f(256) is

  • 24

  • 26

  • 22

  • 28


234.

If * is the operation defined by a b = ab for a, b  N, then (2 * 3) * 2 is equal to

  • 81

  • 512

  • 216

  • 64


Advertisement
235.

The domain of the function f(x) x2 - 9/x - 3, if x  36,                          if x = 3 is

  • (0, 3)

  • - , 3

  • - , 

  • 3, 


236.

Let f(x) = x3 and g(x) = 3*. The values of A such that g[f (A)] = f[g(A)] are

  • 0, 2

  • 1, 3

  • 0, ± 3

  • 0, ± 3


237.

If fx + 12x - 1 = 2x, x  N, then the value of f(2) is equal to

  • 1

  • 4

  • 3

  • 2


238.

For all rest numbers x and y, it is known as the real valued function f satisfies f(x) + f(y) = f(x + y). If f(1) = 7, then r = 1100fr is equal to

  • 7 x 51 x 102

  • 6 x 50 x 102

  • 7 x 50 x 102

  • 7 x 50 x 101


Advertisement
239.

If f(x) = x + 1x - 1, then the value of f(f(x)) is equal to

  • x

  • 0

  • - x

  • 1


240.

If fx = 1 - x1 + xx  - 1, then f-1(x) equals to :

  • f(x)

  • 1fx

  • - f(x)

  • - 1fx


Advertisement