EduSahara™ Assignment
Name : Operations on Sets
Chapter : Sets
Grade : ICSE Grade VI
License : Non Commercial Use
Question 1
1.
If A = {3,1,4} and B = {2,4,1} , then A ∪ B =
  • (i)
    {2,4,1}
  • (ii)
    {2,1,3,4,8}
  • (iii)
    {9,2,1,4}
  • (iv)
    {3,1,4,2}
  • (v)
    {4,3,1}
Question 2
2.
If A = {6,10,3,2} and B = {9,7,5,3} , then A ∪ B =
  • (i)
    {7,3,10,6,9,5}
  • (ii)
    {7,5,3,2,6,14,10,9}
  • (iii)
    {2,9,6,5,10,3}
  • (iv)
    {3,7,2,10,6,5,9}
  • (v)
    {2,10,9,15,5,3,7}
Question 3
3.
If A = {14,6,15,5,1} and B = {12,3,13,2,14} , then A ∪ B =
  • (i)
    {12,6,1,5,3,20,2,15,13}
  • (ii)
    {13,1,14,5,15,12,2,6,3}
  • (iii)
    {14,15,6,13,1,16,2,3,5,12}
  • (iv)
    {3,6,1,2,14,13,15,12}
  • (v)
    {5,13,12,6,15,1,2,3}
Question 4
4.
If A = {0,5,4} and B = {2,0,4} , then A ∩ B =
  • (i)
    {0,4}
  • (ii)
    {5,0,2,4}
  • (iii)
    {2,0,4}
  • (iv)
    {4,0,15}
  • (v)
    {0,4,5}
Question 5
5.
If A = {2,4,8,9,3} and B = {1,3,2,8,5} , then A ∩ B =
  • (i)
    {3,2,8,13}
  • (ii)
    {3,8,2,5}
  • (iii)
    {2,3,1,8,9}
  • (iv)
    {9,3,2,8}
  • (v)
    {2,8,3}
Question 6
6.
If A = {1,0,5,7,10,4,3} and B = {5,12,6,8,2,7,15} , then A ∩ B =
  • (i)
    {4,7,5}
  • (ii)
    {5,12,7,8}
  • (iii)
    {8,5,7}
  • (iv)
    {7,20,5}
  • (v)
    {5,7}
Question 7
7.
If A = {-4,8,5,-3,9,-5,4} and μ = {-4,8,5,-3,9,-5,4,3,-8,-9,-2}, find A ∪ A
  • (i)
    {-3,-1,4,2,-5,9,5,-4,8}
  • (ii)
    {-5,5,8,-3,9,-4}
  • (iii)
    {-4,14,4,8,5,-5,-3}
  • (iv)
    {-5,-4,5,9,8,4,-3}
  • (v)
    {7,4,-6,-4,9,8,-8}
Question 8
8.
If A = {-8,0,7} and μ = {-8,0,7,-4,-3}, find A ∪ ∅
  • (i)
    {3,-8,7}
  • (ii)
    {0,5,2,7,-8}
  • (iii)
    {0,8,-8}
  • (iv)
    {-8,7}
  • (v)
    {0,-8,7}
Question 9
9.
Which of the following are true?
a)
A ∪ ∅ = A
b)
A ∪ A = ∅
c)
A ∪ ∅ = ∅
d)
A ∩ ∅ = A
e)
A ∪ A = A
  • (i)
    {c,e,a}
  • (ii)
    {c,e}
  • (iii)
    {b,a}
  • (iv)
    {d,b,a}
  • (v)
    {a,e}
Question 10
10.
For any two non-empty sets A and B, which of the following are true?
a)
A ∩ B = B ∪ A
b)
A ∪ B = B ∪ A
c)
A ∪ B = ∅
d)
A ∪ B = B ∩ A
e)
A ∩ B = B ∩ A
  • (i)
    {c,e}
  • (ii)
    {c,e,b}
  • (iii)
    {d,a,b}
  • (iv)
    {a,b}
  • (v)
    {b,e}
Question 11
11.
If A = {5,-5,3,-2} and μ = {5,-5,3,-2,-7,4,-3}, find A ∪ μ
  • (i)
    {}
  • (ii)
    {-5,4,5,3,-3,-2,-7}
  • (iii)
    {5,4,-5,3,-2,-3}
  • (iv)
    {5,-7,-3,0,-5,3,-2,4,-1}
  • (v)
    {-3,-2,-5,4,-7,0,1}
Question 12
12.
If A = {-9,0,-5,-4} and μ = {-9,0,-5,-4,7,9,3}, find A ∩ A
  • (i)
    {0,-9,-5,-4}
  • (ii)
    {-4,-9,4,2,0,-5}
  • (iii)
    {0,-5,-7,-4}
  • (iv)
    {-9,-4,-5}
  • (v)
    {-9,-6,-10,-4}
Question 13
13.
If A = {-7,3,-6,-5} and μ = {-7,3,-6,-5,7,1,-1}, find A ∩ ∅
  • (i)
    {2}
  • (ii)
    {-1,5}
  • (iii)
    {5}
  • (iv)
    {-1}
  • (v)
    {}
Question 14
14.
If A = {-7,4,-1,5,9} and μ = {-7,4,-1,5,9,-2,1,-4}, find A ∩ μ
  • (i)
    {9,-7,-1,5,4}
  • (ii)
    {9,-2,5,-1,4}
  • (iii)
    {}
  • (iv)
    {-7,5,-1,4}
  • (v)
    {9,-7,0,-1,5,1,4}
Question 15
15.
If μ = {-4,7,6,-8,8,-1,0,-3,-6,9,-9,-5,5,3}, A = {-4,7,6,-8,8,-1} and B = {0,8,-1,-3}, find n(A)
  • (i)
    6
  • (ii)
    3
  • (iii)
    5
  • (iv)
    9
  • (v)
    7
Question 16
16.
If μ = {8,9,7,2,4,-6,-4,-5,3,-7,-9,-1,5,-2,6}, A = {8,9,7,2,4} and B = {8,-6,-4,9,-5,3,-7}, find n(B)
  • (i)
    8
  • (ii)
    7
  • (iii)
    5
  • (iv)
    10
  • (v)
    6
Question 17
17.
If μ = {2,-5,-3,3,7,9,4,8,-4,1,-9,-2,6}, A = {2,-5,-3,3} and B = {-3,7,-5,9,4,8}, find n(A ∪ B)
  • (i)
    11
  • (ii)
    5
  • (iii)
    7
  • (iv)
    9
  • (v)
    8
Question 18
18.
If μ = {8,-7,1,-1,-5,0,-9,-4,6,9,5,-3,-6,4,-2,3,2}, A = {8,-7,1,-1,-5,0} and B = {0,-9,-5,-4,6,9,5}, find n(A ∩ B)
  • (i)
    1
  • (ii)
    3
  • (iii)
    0
  • (iv)
    2
  • (v)
    5
    Assignment Key
  •  1) (iv)
  •  2) (iv)
  •  3) (ii)
  •  4) (i)
  •  5) (v)
  •  6) (v)
  •  7) (iv)
  •  8) (v)
  •  9) (v)
  •  10) (v)
  •  11) (ii)
  •  12) (i)
  •  13) (v)
  •  14) (i)
  •  15) (i)
  •  16) (ii)
  •  17) (v)
  •  18) (iv)