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Sets, functions and groups

Class 11 · Mathematics · 5 questions

Name: ____________________   Date: ____________

  1. If A has 3 elements, the number of elements in its power set is:

    • A 8
    • B 6
    • C 3
    • D 9
  2. If n(A) = 5, n(B) = 4 and n(A intersect B) = 2, then n(A union B) is:

    • A 11
    • B 6
    • C 7
    • D 9
  3. A function that is both one to one and onto is called:

    • A Constant
    • B Identity only
    • C Into
    • D Bijective
  4. If f(x) = x2 and g(x) = x + 1, what is f(g(2))?

    • A 5
    • B 4
    • C 9
    • D 6
  5. The identity element for addition of integers is:

    • A -1
    • B 1
    • C No such element
    • D 0

Answer key

1. A, 2. C, 3. D, 4. C, 5. D

  1. 2^3 = 8.

  2. 5 + 4 - 2 = 7.

  3. A bijection is both injective and surjective.

  4. g(2) = 3, then f(3) = 9.

  5. Adding 0 leaves a number unchanged.