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Arithmetic Aptitude :: Sets, Relations and Functions

Sets, Relations and Functions - Section-1
  1.  The smallest set A such that A ∪ {1, 2} = {1, 2, 3, 5, 9} is

    2. A.

    {2, 3, 5}
    B.

    {3, 5, 9}
    C.

    {1,2, 5, 9}
    D.

    None of these

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  2.  If A, B and C are any three sets, then A – (B ∪ C) is equal to

    3. A.

    (A - B) ∪ C
    B.

    (A - B) ∩ C
    C.

    (A - B) ∩ (A - C)
    D.

    (A - B) ∪ (A - C)

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  3.  If A and B are any two sets, then A ∩ (A ∪ B) is equal to

    4. A.

    A
    B.

    B
    C.

    Ac
    D.

    Bc

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  4.  Two finite sets have n and m elements. The number of elements in the power set of first set is 48 more than the total number of elements in power set of the second set. Then the values of m and n are

    5. A.

    6, 3
    B.

    7, 6
    C.

    6, 4
    D.

    7, 4

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  5.  The number of proper subsets of the set {1, 2, 3} is.

    6. A.

    5
    B.

    6
    C.

    7
    D.

    8

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  6.  If A ∩ B = B, then.

    7. A.

    A = ø
    B.

    B = ø
    C.

    A ⊂ B
    D.

    B ⊂ A

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  7.  If x ≠ 1, and f(x) = x + 1 / x – 1 is a real function, then f(f(f(2))) is

    8. A.

    1
    B.

    2
    C.

    3
    D.

    4

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  8.  In a set – builder method, the null set is represented by

    9. A.

    Φ
    B.

    { }
    C.

    { x : x = x}
    D.

    { x : x ≠ x}

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  9.  A = {x: x ≠ x }represents

    10. A.

    {}
    B.

    {0}
    C.

    {1}
    D.

    {x}

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  10.  If A, B and C are any three sets, then A × (B ∪ C) is equal to.

    11. A.

    (A ∪ B) × (A ∪ C)
    B.

    (A × B) ∩ (A × C)
    C.

    (A × B) ∪ (A × C)
    D.

    None of these

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