EduSahara™ Assignment
Name : Operations on Sets
Chapter : Sets
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
If A = {2,3,1} and B = {2,1,4} , then A ∪ B =
(i)
{4,2,3}
(ii)
{2,1,4,3}
(iii)
{1,4,10,2}
(iv)
{}
(v)
{2,1,4,3,8}
Question
2
2.
If A = {1,9,4,7} and B = {6,10,0,4} , then A ∪ B =
(i)
{7,9,0,10,1,4,6}
(ii)
{10,4,0,9,6,7}
(iii)
{10,9,6,1,7,4}
(iv)
{4,1,7,9,6,11,10,0}
(v)
{10,11,7,6,1,0,4}
Question
3
3.
If A = {7,2,9} , B = {2,6,10} and C = {12,9,6} , then A ∪ (B ∪ C) =
(i)
{10,9,12,6,2}
(ii)
{7,12,9,6,2}
(iii)
{7,10,18,6,12,2,9}
(iv)
{6,12,2,7,9,10}
(v)
{6,9,7,2,10}
Question
4
4.
If A = {3,10,0} , B = {2,12,5} and C = {11,4,0,14} , then A ∪ (B ∪ C) =
(i)
{14,0,3,2,10,12,5,11,4}
(ii)
{14,12,2,10,11,3,0,5}
(iii)
{0,14,12,3,11,2,10,4}
(iv)
{4,2,0,3,14,11,5,12}
(v)
{3,10,5,2,14,12,4,18,0,11}
Question
5
5.
If A = {8,6,7} and B = {2,8,10} , then A ∩ B =
(i)
{8,10}
(ii)
{8}
(iii)
{8,7}
(iv)
{13,8}
(v)
{6,8,10}
Question
6
6.
If A = {5,10,9,4,1} and B = {6,1,3,4,9} , then A ∩ B =
(i)
{4,9,5,1}
(ii)
{10,1,5,9,4}
(iii)
{1,4,9}
(iv)
{9,4,13,1}
(v)
{3,4,1,9}
Question
7
7.
If A = {4,6,13,7,5,0,8} and B = {15,2,12,1,4,11,10} , then A ∩ B =
(i)
{4,0}
(ii)
{10,4}
(iii)
{4}
(iv)
{6,4,11}
(v)
{16,4}
Question
8
8.
If A = {2,6,8} and B = {7,10,5} , then B ∩ A =
(i)
{7}
(ii)
{}
(iii)
{8}
(iv)
{5,2}
(v)
{15}
Question
9
9.
If A = {0,7,5,10,4} and B = {9,0,1,3,8} , then B ∩ A =
(i)
{0}
(ii)
{0,8,4}
(iii)
{0,9}
(iv)
{4,0}
(v)
{0,14}
Question
10
10.
If A = {14,15,6,13,1,12,8} and B = {4,6,9,7,0,12,2} , then B ∩ A =
(i)
{6,15,12}
(ii)
{16,12,6}
(iii)
{12,6}
(iv)
{6,12,4}
(v)
{15,12,6,13}
Question
11
11.
If A = {4,0,2,9,5,1} , B = {13,3,11,7,10,12} and C = {6,5,7,8,0,14}, then A ∩ (B ∩ C) =
(i)
{2}
(ii)
{20}
(iii)
{8}
(iv)
{10}
(v)
{}
Question
12
12.
If A = {1,5,3,10} and B = {5,6,0,10} , then A − B =
(i)
{0,6}
(ii)
{1,3,14}
(iii)
{3,1,10}
(iv)
{1}
(v)
{1,3}
Question
13
13.
If A = {9,4,15,8,1} and B = {13,10,6,11,1} , then A − B =
(i)
{9,4,15}
(ii)
{10,13,6,11}
(iii)
{15,4,1,9,8}
(iv)
{16,9,8,15,4}
(v)
{8,15,9,4}
Question
14
14.
If A = {8,1,6,10} and B = {7,0,3,10} , then B − A =
(i)
{}
(ii)
{0,7}
(iii)
{7,0,3}
(iv)
{7,3,12,0}
(v)
{0,7,10,3}
Question
15
15.
If A = {0,11,9,8,3} and B = {10,5,2,14,3} , then B − A =
(i)
{10,5,14}
(ii)
{5,14,2,10}
(iii)
{2,10,18,5,14}
(iv)
{}
(v)
{2,5,10,14,3}
Question
16
16.
The symmetric difference of set A = {12,10,5,3,9,4} and set B = {2,15,8,9,14,4} is
(i)
{15,8,14,2}
(ii)
{5,9,10,15,2,12,3,8,14}
(iii)
{2,3,10,14,5,12,8}
(iv)
{8,15,14,12,2,3,10,5}
(v)
{12,5,10,3}
Question
17
17.
If A = {-2,-8,2,-7} and μ = {-2,-8,2,-7,-1,6,3}, find A ∪ A
(i)
{2,-2,-8,-7}
(ii)
{}
(iii)
{-8,2,-7}
(iv)
{2,0,-4,-8}
(v)
{-8,2,1,0,-2,-7}
Question
18
18.
If A = {1,9,-4,-7,-3,-2,7} and μ = {1,9,-4,-7,-3,-2,7,5,-6,-5,0}, find A ∪ ∅
(i)
{5,7,9,4,1,-7,-3,-2,-4}
(ii)
{7,-4,-3,-7,1,-2}
(iii)
{}
(iv)
{-8,-3,9,7,-2,5,-12}
(v)
{-2,-3,9,1,-4,7,-7}
Question
19
19.
If A = {2,-5,3,1} and μ = {2,-5,3,1,-2,-4,8}, find A ∪ μ
(i)
{-5,-2,-4,5,3,2,4,1,8}
(ii)
{-3,-5,-4,1,8,2,3}
(iii)
{}
(iv)
{3,1,-5,2,-2,-4}
(v)
{3,-5,8,2,-4,1,-2}
Question
20
20.
If A = {-7,1,-4,-3} and μ = {-7,1,-4,-3,7,-2,-6}, find A ∩ A
(i)
{-8,-4,-3,1}
(ii)
{-3,-7,1,-4}
(iii)
{5,-3,1,-7,-4,-1}
(iv)
{-3,-7,-4}
(v)
{}
Question
21
21.
If A = {-9,5,2,1,-1} and μ = {-9,5,2,1,-1,-4,7,6}, find A ∩ ∅
(i)
{}
(ii)
{4}
(iii)
{5}
(iv)
{5,1}
Question
22
22.
If A = {-1,-8,-3,-5} and μ = {-1,-8,-3,-5,-6,3,7}, find A ∩ μ
(i)
{-1,-8,-3}
(ii)
{-5,-3,-8,-1}
(iii)
{4,-1,-3,-5,-8,1}
(iv)
{-1,-6,-5,-4}
(v)
{-1,-6,-3,-5}
Question
23
23.
If A = {-4,-2,1,3,-8,8} and μ = {-4,-2,1,3,-8,8,-9,5,6,-6}, find A'
(i)
{7,-6,-9,5}
(ii)
{7,6,-9,-6}
(iii)
{6,5,-9}
(iv)
{-9,5,-6,6}
(v)
{5,2,-6,6,-9,0}
Question
24
24.
If A = {6,-7,-3} and μ = {6,-7,-3,0,-4}, find A ∪ A'
(i)
{-3,-4,0,6}
(ii)
{-7,6,-3,-4,2}
(iii)
{-9,3,9,-3,-4}
(iv)
{6,-4,-7,-3,0}
(v)
{0,-7,6,-1,2,-3,-4}
Question
25
25.
If A = {-6,0,4,5,-7,8} and μ = {-6,0,4,5,-7,8,1,-3,-4,9}, find A ∩ A'
(i)
{3,1}
(ii)
{}
(iii)
{1}
(iv)
{3}
Question
26
26.
If A = {1,-9,5,-7,4,-4,6} and μ = {1,-9,5,-7,4,-4,6,-3,7,9,2}, find (A')'
(i)
{-7,5,6,1,4,-9,-4}
(ii)
{1,0,4,5,6,-9,2,-7,-4}
(iii)
{6,-3,5,4,-7,-9,1}
(iv)
{5,4,6,1,-4,-9}
(v)
{4,-7,-9,5,1,-4,9}
Question
27
27.
If μ = {10,-4,9,8,-1,-6,6,2,-5,3,-9,-8,0,4,12,11,1,-2,7,5,-3},A = {10,-4,9,8,-1,-6,6}, B = {9,2,-5,-6,3,6,-9}, C = {8,-8,0,4,-5,12,11}, find A ∩ B ∩ C
(i)
{}
(ii)
{-5}
(iii)
{-6}
Question
28
28.
If μ = {12,-4,-9,6,4,7,-5,2,8,5,0,11,14,-3,3,-2,-6,1,9,15,13,-8,10,-7},A = {12,-4,-9,6,4,7,-5,2,8}, B = {5,12,0,6,11,14,-3,3,-9}, C = {-2,-6,1,9,2,12,15,13}, find A ∪ (B ∩ C)
(i)
{2,7,12,-9,8,6,-4,-5}
(ii)
{2,4,7,12,-9,8,6,-4,-5}
(iii)
{2,4,7,12,-9,8,6,-4,-5,-7}
(iv)
{2,4,7,12,-9,8,6,-5,-7}
(v)
{2,4,7,12,-9,8,6,-5}
Question
29
29.
If μ = {7,0,16,8,18,1,4,15,-9,14,-8,6,-3,9,10,11,-6,-1,2,-4,12},A = {7,0,16,8,18,1,4,15,-9,14}, B = {16,-8,6,-3,-9,7,8}, C = {-9,15,4,14,9,18,10,11,7,6}, find B ∪ (C ∩ A)
(i)
{16,15,8,14,-8,7,-3,4,-9,6}
(ii)
{18,16,15,8,14,-8,7,-3,4,-9,6,-1}
(iii)
{18,16,15,8,14,-8,7,-3,4,-9,6}
(iv)
{16,15,8,14,-8,7,-3,4,-9,6,-1}
(v)
{18,16,15,14,-8,7,-3,4,-9,6}
Question
30
30.
If μ = {10,-6,0,1,-5,4,11,-8,-7,15,12,9,5,-1,-3,14,-9,2,-2,7,6,3,-4},A = {10,-6,0,1,-5,4,11,-8}, B = {1,-7,15,12,10,-6,9,5}, C = {5,1,-1,4,-3,-5,-7,9,15}, find C ∪ (A ∩ B)
(i)
{-1,10,1,4,-5,5,-6,15,-3,-7}
(ii)
{-1,10,9,1,4,-5,5,-6,15,-3,-7}
(iii)
{-1,10,9,1,4,-5,-6,15,-3,-7}
(iv)
{-1,10,9,1,4,-5,-6,15,-3,-7,-4}
(v)
{-1,10,9,1,4,-5,5,-6,15,-3,-7,-4}
Question
31
31.
If μ = {-9,12,-4,0,13,3,10,6,-8,9,5,-3,14,-6,-2,8,-5,-7,2,-1},A = {-9,12,-4,0,13,3,10,6,-8}, B = {9,5,10,-4,-9,3,-3,14}, C = {-6,-2,8,14,-4,3}, find A ∩ (B ∪ C)
(i)
{10,-9,-4}
(ii)
{10,-4,3,-7}
(iii)
{10,-9,-4,3,-7}
(iv)
{10,-9,-4,3}
(v)
{10,-4,3}
Question
32
32.
If μ = {14,11,12,-5,-2,2,-7,4,-9,-8,10,-6,-3,5,16,-1,-4,3,1,6,7,9,8,15},A = {14,11,12,-5,-2,2,-7,4}, B = {-7,-2,-9,-8,10,-5,-6}, C = {-5,-3,5,16,-1,2,-4,-7,3,-2}, find B ∩ (C ∪ A)
(i)
{-2,-7}
(ii)
{-2,-5}
(iii)
{-2,-7,-5}
(iv)
{-2,-7,-5,-6}
(v)
{-2,-5,-6}
Question
33
33.
If μ = {-2,10,7,-4,8,-3,-8,-1,-6,-9,2,1,-7,11,13,12,9,3,15},A = {-2,10,7,-4,8,-3,-8}, B = {-1,-6,-9,-4,2,7,1}, C = {-6,-7,-3,1,2,10,-1,11,-9,8}, find C ∩ (A ∪ B)
(i)
{-6,8,-3,1,2,10,-9,-1}
(ii)
{-6,8,-3,1,2,10,-9,-1,11}
(iii)
{-6,8,1,2,10,-9,-1,13}
(iv)
{-6,8,-3,1,2,-9,-1,11}
(v)
{-6,8,-3,1,2,-9,-1}
Assignment Key
1) (ii)
2) (i)
3) (iv)
4) (i)
5) (ii)
6) (iii)
7) (iii)
8) (ii)
9) (i)
10) (iii)
11) (v)
12) (v)
13) (v)
14) (iii)
15) (ii)
16) (iv)
17) (i)
18) (v)
19) (v)
20) (ii)
21) (i)
22) (ii)
23) (iv)
24) (iv)
25) (ii)
26) (i)
27) (i)
28) (ii)
29) (iii)
30) (ii)
31) (iv)
32) (iii)
33) (i)
