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Sets, functions and groups

5 Class 11 Mathematics questions with answers and explanations.

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

    • 1 8
    • 2 6
    • 3 3
    • 4 9
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    Correct answer: 8

    2^3 = 8.

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  2. If n(A) = 5, n(B) = 4 and n(A intersect B) = 2, then n(A union B) is:

    • 1 11
    • 2 6
    • 3 7
    • 4 9
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    Correct answer: 7

    5 + 4 - 2 = 7.

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  3. A function that is both one to one and onto is called:

    • 1 Constant
    • 2 Identity only
    • 3 Into
    • 4 Bijective
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    Correct answer: Bijective

    A bijection is both injective and surjective.

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  4. If f(x) = x2 and g(x) = x + 1, what is f(g(2))?

    • 1 5
    • 2 4
    • 3 9
    • 4 6
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    Correct answer: 9

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

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  5. The identity element for addition of integers is:

    • 1 -1
    • 2 1
    • 3 No such element
    • 4 0
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    Correct answer: 0

    Adding 0 leaves a number unchanged.

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