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 , C be any three sets such that A \(\mathop \cup \nolimits \)B = A \(\mathop \cup \nolimits \)C and \(A\mathop \cap \nolimits B = A\mathop \cap \nolimits C\) , then
  • A
    A = B = C
  • B
    A = B
  • C
    B = C
    Correct
  • D
    A = C
2
Given the sets A = { 1, 2, 3 } , B = { 3 , 4 } , C = { 4 , 5, 6 } , then A \(\mathop \cup \nolimits \)( B \(\mathop \cap \nolimits \) C ) is
  • A
    { 3 }
  • B
    none of these.
  • C
    { 1, 2 ,3 , 4, 5, 6 }
  • D
    { 1, 2 , 3 , 4 }
    Correct
3
Sets A and B have 3 and 6 elements respectively . What can be the minimum number of elements in \({\text{A U B}}\).
  • A
    6
    Correct
  • B
    3
  • C
    9
  • D
    18
4
Two finite sets have m and n elements. The total number of subsets of the first set is 48 more than the total number of subsets of the second set. The values of m and n are
  • A
    6 , 4
    Correct
  • B
    7 , 4
  • C
    3 , 3
  • D
    6 , 3
5
The number of proper subsets of the set { 1, 2 , 3 } is :
  • A
    8
  • B
    7
    Correct
  • C
    5
  • D
    6
6
If A , B and C are non – empty sets , then ( A – B ) \(\mathop \cup \nolimits \)( B – A ) equals :
  • A
    ( A \(\mathop \cup \nolimits \) B ) - B
  • B
    none of these.
  • C
    ( A \(\mathop \cup \nolimits \)B ) – ( A \(\mathop \cap \nolimits \) B )
    Correct
  • D
    ( A \(\mathop \cap \nolimits \) B ) \(\mathop \cup \nolimits \)( A \(\mathop \cup \nolimits \)B )
7
In a class of 100 students, 55 students have passed in Mathematics and 67 students have passed in Physics. Then the number of students who have passed in Physics only is
  • A
    33
  • B
    45
    Correct
  • C
    22
  • D
    10
8
Out of 800 boys in a school, 224 played cricket , 240 played hockey and 336 played basketball . Of the total, 64 played both basketball and hockey ; 80 played cricket and basketball and 40 played cricket and hockey ; 24 played all the three games . The number of boys who did not play any game is :
  • A
    240
  • B
    160
    Correct
  • C
    160
  • D
    128
9
In a college of 300 students, every student reads 5 newspapers and every newspaper is read by 60 students . The number of newspapers is :
  • A
    none of these
  • B
    atleast 30
  • C
    atmost 20
  • D
    exactly 25
    Correct
10
The number of non-empty subsets of the set { 1, 2, 3, 4 }is :
  • A
    15
    Correct
  • B
    14
  • C
    17
  • D
    16
11
Which of the following is ( A – B ) \(\mathop \cup \nolimits \) ( B – A ) ?
  • A
    ( A \(\mathop \cup \nolimits \) B ) –( A \(\mathop \cap \nolimits \)B)
    Correct
  • B
    ( A \(\mathop \cup \nolimits \) B ) \(\mathop \cup \nolimits \)( A \(\mathop \cap \nolimits \) B )
  • C
    (A \(\mathop \cup \nolimits \) B ) \(\mathop \cup \nolimits \) ( A-B)
  • D
    none of these
12
If A and B are two given sets , then A \(\mathop \cap \nolimits \) ( A \(\mathop \cap \nolimits \) B ) ‘ is equal to
  • A
    A
  • B
    A \(A\mathop \cap \nolimits B = A\mathop \cap \nolimits C\) B ‘
    Correct
  • C
    \(\phi \)
  • D
    B
13
Given n (\(\mathop \cup \nolimits \)) = 20 , n ( A ) = 12 , n ( B ) = 9 , n ( A \(\mathop \cap \nolimits \) B ) = 4 , where U is the universal set , A and B are subsets of U , then \([{\text{n }}\left( {{\text{ }}\left( {{\text{ A U B }}} \right)} \right){\text{ }} = \)
  • A
    3
    Correct
  • B
    17
  • C
    9
  • D
    11
14
Sets A and B have 3 and 6 elements respectively. What can be the maximum number of elements in A \(\mathop \cup \nolimits \) B.
  • A
    6
  • B
    3
  • C
    18
  • D
    9
    Correct
15
A survey shows that 63\(\% \) of the Americans like chese whereas 76\(\% \) like apples. If x\(\% \) of the Americans like both chese and apples , then
  • A
    39 \( \le x \le 63\)
    Correct
  • B
    x = 63
  • C
    x = 39
  • D
    none of these