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, B and C are any three sets , then A \(\mathop \cap \nolimits \) ( B \(\mathop \cup \nolimits \)C ) is equal to
  • A
    ( A \(\mathop \cup \nolimits \) B ) \(\mathop \cup \nolimits \)( A\(\mathop \cup \nolimits \)C)
  • B
    ( A\(\mathop \cup \nolimits \) B ) \(\mathop \cap \nolimits \) ( A\(\mathop \cap \nolimits \)C)
  • C
    a)( A \(\mathop \cap \nolimits \) B ) \(\mathop \cup \nolimits \)( A \(\mathop \cap \nolimits \)C)
    Correct
  • D
    (A – B) \(\mathop \cap \nolimits \) (A – C)
2
If aN = { ax : x \( \in \) N } , then the set 3N \(\mathop \cap \nolimits \) 7N is
  • A
    21N
    Correct
  • B
    4N
  • C
    none of these
  • D
    10N
3
The smallest set A such that A \(\mathop \cup \nolimits \) { 1,2 } = { 1,2,3,5,9 } is
  • A
    { 1,2,5,9 }
  • B
    { 3,5,9 }
    Correct
  • C
    none of these
  • D
    { 2,3,5 }
4
If A and B are sets , then A \(\mathop \cap \nolimits \) ( B – A ) is
  • A
    none of these
  • B
    B
  • C
    \(\phi \)
    Correct
  • D
    A
5
If A = { 0,1,5,4,7 }. Then the total number subsets of A are
  • A
    40
  • B
    64
  • C
    32
    Correct
  • D
    none of these
6
If A and B be two sets such that n( A ) = 70 , n ( B ) = 60 , and n ( A \(\mathop \cup \nolimits \) B ) = 110 . Then n ( A \(\mathop \cap \nolimits \) B ) is equal to
  • A
    20
    Correct
  • B
    240
  • C
    100
  • D
    120
7
Which set is the subset of all given sets ?
  • A
    { 1 }
  • B
    { 0 }
  • C
    { 1,2,3,4 }
  • D
    { }
    Correct
8
If Q = { x : x = 1/y , where y \( \in \) N } , then
  • A
    0 \( \in \) Q
  • B
    1 \( \in \) Q
    Correct
  • C
    1/2 \( \in \) Q
  • D
    2 \( \in \) Q
9
If \({\text{A }} = {\text{ }}\left\{ {{\text{x }}:{\text{ x }} \ne {\text{ x }}} \right\}\) represents
  • A
    { 0 }
  • B
    { 1 }
  • C
    { }
    Correct
  • D
    { x }
10
P ( A ) = P ( B ) \( \Rightarrow \)
  • A
    none of these
  • B
    A = B
    Correct
  • C
    A \( \supseteq \) B
  • D
    A \(^\circ\) B
11
Which of the following is a set
  • A
    The collection of good cricket players of India is a set.
  • B
    The collection of most difficult topics in Mathematics is a set.
  • C
    A collection of vowels in English alphabets is a set.
    Correct
  • D
    The collection of most talented writers of India is a set.
12
If A \(^\circ\) B , then
  • A
    B’ \(^\circ\) A’
    Correct
  • B
    A’ \(^\circ\) B’
  • C
    none of these
  • D
    A’ = B’
13
Let A = { a ,b ,c } , B = { a, b } , C = { a, b, d } , D = { c , d } and E = { d } . Then which of the following statement is not correct ?
  • A
    B \(^\circ\) C
  • B
    D \( \supseteq \) E
  • C
    D \(^\circ\) B
    Correct
  • D
    B \(^\circ\) A
14
Which of the following statements is true ?
  • A
    3 \(^\circ\) { 1, 3, 5 }
  • B
    { 3 , 5 } \( \in \) { 1, 3, 5 }
  • C
    { 3 } \( \in \) { 1, 3, 5 }
  • D
    3 \( \in \) { 1, 3, 5 }
    Correct
15
If a set A has n elements , then the total number of subsets of A is
  • A
    2n
  • B
    \({2^n}\)
    Correct
  • C
    \({n^2}\).
  • D
    n