Sets CBSE Questions & Answers

Sets

This is Mathematics Class 11 Sets CBSE Questions & Answers. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
If A and B are two sets, then \(A\mathop \cap \nolimits^ (A\mathop \cup \nolimits^ B)'\) is equal to
  • A
    none of these
  • B
    B
  • C
    A
  • D
    \(\emptyset \)
    Correct
2
Let A and B be two sets. Then
  • A
    \(A\mathop \cup \nolimits^ B \subseteq A\mathop \cup \nolimits^ B\)
  • B
    \(A\mathop \cap \nolimits^ B = A\mathop \cup \nolimits^ B\)
  • C
    \(A\mathop \cap \nolimits^ B \subset A\mathop \cup \nolimits^ B\)
    Correct
  • D
    \(A\mathop \cap \nolimits^ B \supseteq A\mathop \cup \nolimits^ B\)
3
If A is any set , then
  • A
    \(A\mathop \cap \nolimits A' = U'\)
  • B
    \(A\mathop \cup \nolimits A' = \phi \)
  • C
    \(A\mathop \cap \nolimits {A'} = U\)
  • D
    \(A\mathop \cup \nolimits {A'} = U\)
    Correct
4
If A and B be any two sets , then (\({\rm{A}} \cup {\rm{B}}\)) ‘ is equal to
  • A
    \(A'\mathop \cap \nolimits B'\)
    Correct
  • B
    \(A'\mathop \cup \nolimits B'\)
  • C
    \(A\mathop \cup \nolimits B\)
  • D
    \(A\mathop \cap \nolimits B\)
5
If A and B be any two sets , then ( A \(\mathop \cap \nolimits^ B \) ) ‘ is equal to
  • A
    none of these.
  • B
    \(A\mathop \cap \nolimits B\)
  • C
    \(A'\mathop \cap \nolimits B'\)
  • D
    \(A' \mathop \cup \nolimits B'\)
    Correct
6
Let A = { 1,2,3,4} , B = { 2,3,4,5,6 } , then A \(\mathop \cap \nolimits^B \) is equal to :
  • A
    { 1 }
  • B
    { 5,6 }
  • C
    { 2,3,4 }
    Correct
  • D
    { 1,2,3 }
7
Let U = { 1,2,3,4,5,6,7,8,9,10 } , A = { 1,2,5 } , B = { 6,7 }. Then A \(\mathop \cap \nolimits^B \) ’ is :
  • A
    A’
  • B
    B’
  • C
    B
  • D
    A
    Correct
8
Let A = { a,b,c } , B = { b,c,d } , C = { a,b,d,e } , then A \(\mathop \cap \nolimits^ (B\mathop \cup \nolimits^ C)\) is
  • A
    { b,c,d }
  • B
    { a,b,d,e }
  • C
    { a,b,c }
    Correct
  • D
    { e }
9
If A and B are two sets , then \(A\mathop \cup \nolimits^ B = A\mathop \cap \nolimits^ B\) if
  • A
    A \( \subseteq \) B
  • B
    none of these
  • C
    A = B
    Correct
  • D
    B \( \subseteq \) A
10
Let A and B be two sets in the universal set . Then A - B is equal to
  • A
    none of these
  • B
    A \(\mathop \cap \nolimits \) B’
    Correct
  • C
    A’ \(\mathop \cap \nolimits \) B
  • D
    A\(\mathop \cap \nolimits \) B
11
Two sets A and B are disjoint iff :
  • A
    A \(\mathop \cap \nolimits \)B \( \ne \){tex}\phi {tex}
  • B
    A \(\mathop \cup \nolimits \)B = \(\phi \)
  • C
    A – B = A
  • D
    A \(\mathop \cap \nolimits \)B = \(\phi \)
    Correct
12
Which of the following is a null set ?
  • A
    { x : \({x^2} + 1 = 0,x \in R\) }
    Correct
  • B
    { 0 }
  • C
    { x : x > 0 or x < 0 }
  • D
    { x : \({x^2}\) =4 or x = 3 }
13
If A \( \subseteq \)B , then A\(\mathop \cap \nolimits^ B\) is equal to
  • A
    A
    Correct
  • B
    A’
  • C
    B
  • D
    B’
14
If A \( \subseteq \)B , then A\(\mathop \cup \nolimits^ B\) is equal to
  • A
    B’
  • B
    A’
  • C
    B
    Correct
  • D
    A
15
If A and B are two sets , then \(A\mathop \cup \nolimits^ (A\mathop \cap \nolimits^ B)\) is equal to
  • A
    A ‘
  • B
    B
  • C
    A
    Correct
  • D
    none of these.