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