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