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
    A
    Correct
  • C
    A ‘
  • D
    B
2
If A = { 2,3,4,8,10 } , B = { 3,4,5,10,12 } and C = { 4,5,6,12,14 } , then \(\left( {A\mathop \cup \nolimits^ B} \right)\mathop \cap \nolimits^ (A\mathop \cup \nolimits^ C)\) is equal to
  • A
    { 4,5,8,10,12 }
  • B
    { 2,3,4,5,8,10,12 }
    Correct
  • C
    { 3,8,10,12 }
  • D
    { 2,4,5,10,12 }
3
If A = { 2,3,4,8,10 } ,B = { 3,4,5,10,12 } and C = { 4,5,6,12,14 } , then \(\left( {A\mathop \cap \nolimits^ B} \right)\mathop \cup \nolimits^ (A\mathop \cap \nolimits^ C)\) then
  • A
    { 4 ,5 , 6 }
  • B
    { 2 , 8 ,10 }
  • C
    { 3 , 4 , 10 }
    Correct
  • D
    none of these.
4
If A and B are disjoint , then n ( A \(\mathop \cup \nolimits^B \) ) is equal to
  • A
    none of these
  • B
    n ( A ) + n ( B )
    Correct
  • C
    n ( A )
  • D
    n ( B )
5
If A and B are not disjoint , then n ( A \(\mathop \cup \nolimits^B \) ) is equal to
  • A
    none of these
  • B
    n ( A )
  • C
    n ( A ) + n ( B ) + n ( A \(\mathop \cap \nolimits^B \) )
  • D
    n ( A ) + n ( B ) – n ( A \(\mathop \cap \nolimits^B \) )
    Correct
6
The set of intelligent students in a class is
  • A
    not a well defined collection
    Correct
  • B
    a finite set
  • C
    a singleton set
  • D
    a null set
7
If A = { 1,2,3 } , and B = { 1,3,5,7 } , then A\(\mathop \cup \nolimits^ B\) =
  • A
    { 1,2,3,5,7 }
    Correct
  • B
    { 1,3,5,7 }
  • C
    none of these
  • D
    { 1,2,3,7 }
8
If A = { 1,2,3,4 } , B = { 4,5,6,7 } , A \(\mathop \cap \nolimits B \) =
  • A
    { 1, 2 }
  • B
    { 6 , 7 }.
  • C
    { 4 }
    Correct
  • D
    { 1,2,3,4 }
9
Let A = { 1,2,3,4 } , then total number of subsets of A are given by
  • A
    8
  • B
    4
  • C
    16
    Correct
  • D
    12
10
If A = { 1,2,3,4 } , B = { 4,5,6,7 } , then A -B =
  • A
    { 1,2,3,4 }
  • B
    { 4 }
  • C
    { 1,2,3 }
    Correct
  • D
    { 5,6,7 }
11
If n (A ) =3 and n ( B ) = 6 and A\( \subseteq \) B , then the number of elements in A \(\mathop \cup \nolimits \)B is equal to
  • A
    9
  • B
    6
    Correct
  • C
    3
  • D
    none of these
12
If n (A ) =3 and n ( B ) = 6 and A\( \subseteq \) B , then the number of elements in A \(\mathop \cap \nolimits \) B is equal to
  • A
    6
  • B
    0
  • C
    3
    Correct
  • D
    9
13
Let A and B be subsets of a set X , Then which of the following is correct
  • A
    A – B = A \(\mathop \cap \nolimits \) B
  • B
    A – B = A’ \(\mathop \cap \nolimits \) B’
  • C
    A – B = A \(\mathop \cup \nolimits \) B’
  • D
    A – B = A \(\mathop \cap \nolimits \) B’
    Correct
14
If A , B and C are any three sets , then A – ( B \(\mathop \cup \nolimits \) C ) is equal to
  • A
    ( A – B ) \(\mathop \cap \nolimits \) ( A – C )
    Correct
  • B
    ( A – B ) \(\mathop \cup \nolimits \)( A – C )
  • C
    ( A – B )\(\mathop \cap \nolimits \)C
  • D
    ( A – B )\(\mathop \cap \nolimits \) C
15
If A, B and C are any three sets , then A – (B\(\mathop \cap \nolimits \)C ) is equal to
  • A
    ( A – C ) \(\mathop \cap \nolimits \)( B – C )
  • B
    ( A – B ) \(\mathop \cap \nolimits \)( A – C )
  • C
    ( A – B ) \(\mathop \cap \nolimits \)C
  • D
    ( A – B ) \(\mathop \cup \nolimits \)C
    Correct