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Sets Test - 4

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Sets Test - 4
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  • Question 1
    1 / -0

    U= set of all teachers in a school , 

    B= Set of all Mathematics teachers in a school , 
    So B’=?

    Solution

    set of all non mathematics teachers

    B’={x | x∈ U and x ∉B}= set of all non mathematics teachers.

     

  • Question 2
    1 / -0

    For the set of all natural numbers the universal set can be

    Solution

    The universal set is a super set of all given sets under consideration.

    Here, the set of all natural numbers is a subset of set of all integers.

     

  • Question 3
    1 / -0

    In a class of 40 students 14 take physics and 29 take chemistry. If 5 students take both, how many students take neither of the subjects?

    Solution

    n (P): Number of students who study physics = 14 

     n (PQ): Number of students who study both physics and chemistry = 5

     n (Q): Number of students who study chemistry = 29

     n (PUQ): No of students who study at least one of the subject

    n(PUQ) = n (P) + n(Q) - n (P∩Q)

    = 14 + 29 -5 = 38

     No of students who study neither of the subjects 

    = Total number of students - No of students who study at least one subject

    = 40 -38 = 2

     

  • Question 4
    1 / -0

    From the sets given below, select equal sets : , 

    A = { 2, 4, 8, 12}, B = { 1, 2, 3, 4},

    C = { 4, 8, 12, 14}, D = { 3, 1, 4, 2}

    Solution

    A and C are unequal as they do not contain same elements.  B and D are equal as they contain same elements, namely, 1, 2, 3 and 4.

     

  • Question 5
    1 / -0

    If A = {1, 4, 9, 16} then n (A) = ____

    Solution

    n (A): No of elements in A = 4

     

  • Question 6
    1 / -0

    The set builder form of the set A = {1, 8, 27, 64} is

    Solution

    1 = 13

    8 = 23

    27 = 33

    64 = 43

    So set A has cubes of all natural numbers less than 5.

    Option A is correct.

     

  • Question 7
    1 / -0

    The roaster form of the set B = {x : x is a vowel of English alphabet }

    Solution

    a, e, i, o and u are the vowels in English alphabet.

    So B = {a, e, i, o, u}

     

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