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