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Quiz by Dr. Dishant Pandya

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20 questions
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  • Q1

    Which of the following is a set of even numbers less than 10?

    \lbrace{2, 4, 6, 8,10\rbrace}

    \lbrace{2, 4, 6, 8\rbrace}

    \lbrace{0, 2, 4, 6, 8\rbrace}

    \lbrace{1,3,5,7,9\rbrace}

    300s
  • Q2

    If A = {a, b, c} and B = {c, d, e}, then A ∪ B is:

    {a, b, c, d, e}

    {}

    {a, b, d, e}

    {c}

    300s
  • Q3

    The domain of the function f(x) = x + 5 is:

    x > 5

    x < 5

    x ≥ 5

    All real numbers

    30s
  • Q4

    If f(x) = 2x and g(x) = x + 3, then (f ∘ g)(1) is:

    8

    5

    4

    7

    300s
  • Q5

    A relation R on a set A is reflexive if:

    None of the above

    For all a ∈ A, (a, a) ∈ R

    For all a, b, c ∈ A, if (a, b) ∈ R and (b, c) ∈ R then (a, c) ∈ R

    For all a, b ∈ A, if (a, b) ∈ R then (b, a) ∈ R

    300s
  • Q6

    If A = {1, 2, 3}, B = {2, 3, 4}, and C = {3, 4, 5}, then (A ∩ B) ∪ (B ∩ C) is:

    {2, 3}

    {2, 3, 4}

    {3}

    {3,4}

    300s
  • Q7

    If U = {1, 2, 3, 4, 5} and A = {1, 3, 5}, then A' (the complement of A) is:

    {1, 3, 5}

    {2, 4}

    {1, 2, 3, 4, 5}

    {}

    30s
  • Q8

    The range of the function f(x) = x² is:

    x ≥ 0

    All real numbers

    x > 0

    x < 0

    300s
  • Q9

    If f(x) = 3x - 2 and g(x) = x + 1, then (g ∘ f)(2) is:

    7

    5

    11

    9

    300s
  • Q10

    A function is onto if:

    It passes the horizontal line test

    Its range is equal to its codomain

    All of the provided.

    It has an inverse function

    300s
  • Q11

    In a survey of 100 people, 60 like coffee, 40 like tea, and 20 like both. How many people like neither coffee nor tea?

    10

    20

    30

    0

    30s
  • Q12

    If A = {x | x is an even number} and B = {x | x is a multiple of 3}, then A ∩ B is:

    {x | x is a multiple of 6}

    {x | x is an even number and a multiple of 3}

    {x | x is an even number or a multiple of 3}

    {}

    300s
  • Q13

    The inverse of the function f(x) = 2x + 1 is:

    f⁻¹(x) = x/2 - 1

    f⁻¹(x) = (x + 1)/2

    f⁻¹(x) = (x - 1)/2

    f⁻¹(x) = 2x - 1

    300s
  • Q14

    Which of the following functions is both one-to-one and onto?

    f(x) = x³

    f(x) = |x|

    f(x) = 2x

    f(x) = x²

    300s
  • Q15

    A relation R on a set A is an equivalence relation if it is:

    Reflexive and transitive

    Reflexive and symmetric

    Reflexive, symmetric, and transitive

    Symmetric and transitive

    300s

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