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Sets Test - 6

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Sets Test - 6
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Weekly Quiz Competition
  • Question 1
    1 / -0
    List the following elements in tabular form or roster notation.

    {x : x  Integers, x < 4 and x  – 3}
  • Question 2
    1 / -0

    Let U = { 1,2,3,4,5,6,7,8,9,10 } , A = { 1,2,5 } , B = { 6,7 }. Then A∩B′  is

    Solution

    GivenU={1,2,3,4,5,6,7,8,9,10},A={1,2,5},B={6,7}

    B′={1,2,3,4,5,8,9,10}

    A∩B′={1,2,5}=A

  • Question 3
    1 / -0
    Which of the following is not true?
  • Question 4
    1 / -0

    Two sets A and B are said to be disjoint iff

    Solution

    Two sets are called disjoint if and only if these two set have no common element i.e A∩B=∅

  • Question 5
    1 / -0
    If A and B are two finite sets and A ∩ B = , then n(A ∪ B) is equal to
  • Question 6
    1 / -0

    If A is any set , then

    Solution

    A∪ A′= {x∈ U : x∈ A}∪ { x∈ U : x∉ A}=U

  • Question 7
    1 / -0
    The set of rational numbers are represented by
  • Question 8
    1 / -0
    Which of the following relations is true?
  • Question 9
    1 / -0
    In a committee, 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. How many speak atleast one of these two languages?
  • Question 10
    1 / -0
    Sets A and B are said to be disjoint if
  • Question 11
    1 / -0
    Sets of divisors of 24 is
  • Question 12
    1 / -0
    If A is any set, then which of the following is not true?
  • Question 13
    1 / -0
    The number of subsets of a set containing n distinct elements is
  • Question 14
    1 / -0
    If A = {1, 2, 3, 9} B = {3, 1} then
  • Question 15
    1 / -0
    A is a proper subset of B. This can be represented as:
  • Question 16
    1 / -0
    The ordered pair (a, b) and (c, d) are said to be equal if
  • Question 17
    1 / -0
    (A ∩ B)c =
  • Question 18
    1 / -0
    Directions: List the elements in tabular form or roster notation.

    {x : x  N, x < 4}
  • Question 19
    1 / -0

    Which of the following is a null set ?

    Solution

    x2+1=0

    ⇒x2=−1

    ⇒x2=√-1

    ⇒x=i∈C 


    [i=imaginory root of unity which is a complex no.]


    since the solution of x doesnot belongs to real no hence the set is null set

  • Question 20
    1 / -0
    When are two sets equal?
  • Question 21
    1 / -0

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

    Solution

    A∩(A∪B)′=ϕ 

    since (A∪B)′ Set represent the element which are not belongs to it,so there is no common element with the set A.So the answer is null set

  • Question 22
    1 / -0
    The set of all prime numbers is
  • Question 23
    1 / -0
    If either A or B is null, then A  B is equal to
  • Question 24
    1 / -0
    In power set the number of elements is given by
  • Question 25
    1 / -0
    A - B = B - A, if
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