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Sets and functions

Written by Hassan Raza (Mathematics)

10 Class 10 Mathematics questions with answers and explanations.

Printable worksheet with answer key

All questions with answers
  1. If A = {1, 2, 3} and B = {3, 4}, what is A union B?

    • 1 {3}
    • 2 {4}
    • 3 {1, 2, 4}
    • 4 {1, 2, 3, 4}
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    Correct answer: {1, 2, 3, 4}

    The union has all elements of both sets.

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  2. If A = {1, 2, 3} and B = {3, 4}, what is A intersection B?

    • 1 {3}
    • 2 empty set
    • 3 {1, 2, 3, 4}
    • 4 {1, 2}
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    Correct answer: {3}

    Only 3 is in both sets.

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  3. The number of subsets of a set with 3 elements is:

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

    2³ = 8.

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  4. If f(x) = 2x + 3, what is f(4)?

    • 1 8
    • 2 14
    • 3 11
    • 4 7
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    Correct answer: 11

    f(4) = 2 x 4 + 3 = 11.

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  5. A relation in which every input has exactly one output is a:

    • 1 Function
    • 2 Set
    • 3 Matrix
    • 4 Ratio
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    Correct answer: Function

    This is the definition of a function.

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  6. If A has 4 elements and B has 3 elements, how many elements are in A x B?

    • 1 12
    • 2 81
    • 3 7
    • 4 1
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    Correct answer: 12

    The Cartesian product has 4 x 3 = 12 ordered pairs.

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  7. The empty set is written as:

    • 1 { }
    • 2 {0}
    • 3 [ ]
    • 4 {1}
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    Correct answer: { }

    The empty set has no elements.

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  8. If A = {1, 2} and B = {2, 3}, the set A - B is:

    • 1 {1, 2}
    • 2 {2}
    • 3 {3}
    • 4 {1}
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    Correct answer: {1}

    The elements in A that are not in B.

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  9. The domain of the function f = {(1, 2), (3, 4)} is:

    • 1 {1, 2, 3, 4}
    • 2 {4}
    • 3 {2, 4}
    • 4 {1, 3}
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    Correct answer: {1, 3}

    The domain is the set of first elements.

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  10. A set with exactly one element is called a:

    • 1 Singleton
    • 2 Power set
    • 3 Universal set
    • 4 Empty set
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    Correct answer: Singleton

    A singleton has one element.

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