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