EduSahara™ Assignment
Name : Set Complement Problems
Chapter : Sets
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Find (B ∪ C)'
(i)
{10,-8,4,-5,7,0,-1}
(ii)
{9,10,-8,4,-5,7,0}
(iii)
{9,10,-8,4,-5,0}
(iv)
{9,10,-8,4,7,0,6}
(v)
{9,10,-8,4,-5,7,0,-1}
Question
2
2.
Find (C ∪ A)'
(i)
{-3,11,-9,10,-7,9,-2,-4,13}
(ii)
{-3,11,-9,-7,9,-2,-4,13}
(iii)
{11,-9,10,-7,9,-2,-4}
(iv)
{-3,11,-9,-7,9,-2,-4,-8}
(v)
{-3,11,-9,10,-7,9,-2,-4}
Question
3
3.
Find (A ∪ B ∪ C)'
(i)
{16,-7,-3,6,13}
(ii)
{-7,-3,6,13}
(iii)
{16,-7,-3,13,-5}
(iv)
{16,-7,-3,6,13,5}
(v)
{16,-7,-3,6,5}
Question
4
4.
Find (A ∩ B)'
(i)
{-8,-6,-4,6,-1,2,0,5,12,9,1,3,-2,11,4,-7}
(ii)
{-8,-6,-4,6,-1,2,0,5,12,9,1,3,-2,11,4,7,-7}
(iii)
{-8,-6,-4,6,-1,2,0,5,12,9,1,3,-2,11,4,7,-7,-9}
(iv)
{-8,-6,-4,6,-1,0,5,12,9,1,3,-2,11,4,7,-7,-9}
(v)
{-8,-6,-4,6,-1,2,0,5,12,9,1,-2,11,4,7,-7,10}
Question
5
5.
Find (B ∩ C)'
(i)
{10,15,-3,11,-5,13,-6,3,-7,-9,6,12,14,0,8,7,1}
(ii)
{10,15,-3,11,-5,13,-1,-6,3,-7,-9,6,12,14,0,8,7,1}
(iii)
{10,15,-3,11,-5,13,-1,-6,3,-7,-9,6,12,14,0,8,7,-2}
(iv)
{10,15,-3,11,-5,13,-1,-6,3,-7,-9,6,12,14,0,8,7,1,2}
(v)
{10,15,-3,11,-5,-1,-6,3,-7,-9,6,12,14,0,8,7,1,2}
Question
6
6.
Find (C ∩ A)'
(i)
{-5,-3,-6,-8,6,0,5,-7,11,1,7,-2,13,12,10,-4,8,2,3}
(ii)
{-5,-3,-6,6,0,5,-7,11,1,7,-2,9,13,12,10,-4,8,2}
(iii)
{-5,-3,-6,-8,6,0,5,-7,11,1,7,-2,9,13,12,10,-4,8,2}
(iv)
{-5,-3,-6,-8,6,0,5,-7,11,1,7,-2,9,13,12,10,-4,8,2,3}
(v)
{-5,-3,-6,-8,6,0,5,11,1,7,-2,9,13,12,10,-4,8,2,-1}
Question
7
7.
Find (A ∩ B ∩ C)'
(i)
{16,11,4,-4,3,-5,-1,-7,-9,-2,19,10,14,13,-8,18,15,5,1,17,2,9,0}
(ii)
{16,11,4,-4,3,-5,-1,-7,-9,-2,19,10,14,13,-8,18,15,5,1,17,2,9,0,12}
(iii)
{16,11,4,-4,3,-5,-1,-7,-9,-2,19,10,14,13,-8,18,15,5,17,2,9,0,8}
(iv)
{16,11,4,-4,3,-5,-1,-7,-9,-2,19,10,14,13,-8,18,15,5,1,2,9,0}
(v)
{11,4,-4,3,-5,-1,-7,-9,-2,19,10,14,13,-8,18,15,5,1,17,2,9,0,12}
Question
8
8.
Find (A − (A ∩ (B ∩ C)))'
(i)
{11,-8,-2,1,-3,4,10,3,-6,6,-1}
(ii)
{11,-8,-2,1,-3,4,5,10,3,6}
(iii)
{11,-8,-2,1,-3,4,5,10,3,-6,6,-1}
(iv)
{11,-8,-2,1,-3,4,5,10,3,-6,6}
(v)
{-8,-2,1,-3,4,5,10,3,-6,6,-5}
Question
9
9.
Find (B − (A ∩ (B ∩ C)))'
(i)
{-5,1,12,-7,-2,-4,7,9,-8,5,8,-3,3,10,6,2,13,-9}
(ii)
{-5,1,12,-7,-2,-4,7,9,-8,5,8,-3,3,10,6,13,-9}
(iii)
{-5,1,12,-7,-2,-4,7,9,-8,5,-3,3,10,6,2,13}
(iv)
{-5,1,12,-7,-2,-4,7,9,-8,5,8,-3,3,10,6,2,13}
(v)
{-5,1,12,-7,-2,-4,7,9,-8,8,-3,3,10,6,2,13,4}
Question
10
10.
Find (C − (A ∩ (B ∩ C)))'
(i)
{-3,-9,13,9,-2,11,7,2,6,-6,10,0,5,12,-5}
(ii)
{-3,-9,13,-1,9,-2,11,7,2,6,-6,10,0,5,12}
(iii)
{-3,-9,13,-1,9,-2,11,7,2,6,-6,10,0,5}
(iv)
{-3,-9,13,-1,9,-2,11,7,2,6,-6,10,0,5,12,-7}
(v)
{-3,-9,13,-1,9,11,7,2,6,-6,10,0,5,12,-7}
Question
11
11.
If μ = {-2,4,6,-3,-1,0,8,5,-5,11,2,-6,-9,-7,13,1,7,10,12,-8,-4,3},A = {-2,4,6,-3,-1,0,8,5}, B = {-5,11,2,-6,4,-9}, C = {-7,13,0,-2,-9,1,7,10,12}, find A'
(i)
{-6,-8,2,1,11,-7,10,-9,3,13,7,-5,12}
(ii)
{-6,-8,2,1,11,-4,-7,10,-9,3,13,7,-5,12}
(iii)
{-6,-8,2,1,11,-4,10,-9,3,13,7,-5,12,-2}
(iv)
{-6,-8,2,1,11,-4,-7,10,-9,3,13,7,-5,12,-2}
(v)
{-6,-8,2,1,11,-4,10,-9,3,13,7,-5,12}
Question
12
12.
If μ = {-6,-2,2,15,12,14,-4,-3,-9,9,3,8,7,0,16,6,-8,-1,13,1,-5,-7,4,10,5},A = {-6,-2,2,15,12,14,-4}, B = {-6,14,-3,-4,-9,9,3,8}, C = {7,3,0,14,-4,16,6,-9,-8,-1}, find B'
(i)
{5,1,-7,-8,12,7,6,13,15,0,-1,-2,2,4,10,-5,-3}
(ii)
{5,16,1,-7,-8,12,7,6,13,15,0,-1,-2,2,4,-5,14}
(iii)
{5,16,1,-7,-8,12,7,6,13,15,0,-1,-2,2,4,10,-5,14}
(iv)
{5,16,1,-7,-8,12,7,6,13,15,0,-1,-2,2,4,-5}
(v)
{5,16,1,-7,-8,12,7,6,13,15,0,-1,-2,2,4,10,-5}
Question
13
13.
If μ = {2,-1,1,4,14,8,16,17,-9,10,3,-7,6,0,9,-3,-5,5,13,12,11,15,-2,18,-6},A = {2,-1,1,4,14,8,16,17,-9}, B = {10,3,1,-7,14,16,6,0,8,2}, C = {17,9,-3,-7,16,-5,5,8}, find C'
(i)
{6,2,-6,18,11,3,10,12,15,1,-9,13,0,4,14,-2,-7}
(ii)
{6,2,-6,18,11,3,10,12,15,1,-1,-9,13,0,4,14,-2}
(iii)
{6,2,-6,18,11,3,10,15,1,-1,-9,13,0,4,14,-2,16}
(iv)
{6,2,-6,18,11,3,10,12,15,1,-1,-9,13,0,4,14,-2,16}
(v)
{6,2,-6,18,11,3,10,15,1,-1,-9,13,0,4,14,-2}
Question
14
14.
If μ = {4,-9,-2,-1,3,-8,-5,-3,13,-7,2,12,0,5,7,9,8,6,-4},A = {4,-9,-2,-1,3,-8}, B = {-5,-3,13,-7,2,12}, C = {13,-2,0,5,4,-1,7,-5,-3,-7}, find (A ∪ B)'
(i)
{7,9,-4,5,8,6,-3}
(ii)
{7,0,9,5,8,6,3}
(iii)
{7,0,9,-4,5,8,6}
(iv)
{7,0,9,5,8,6}
(v)
{7,0,9,-4,5,8,6,3}
Question
15
15.
If μ = {0,-1,3,-4,-3,2,11,6,10,-5,4,8,-8,-6,1,-7,-9,5,13,7},A = {0,-1,3,-4,-3,2,11,6}, B = {10,-5,4,8,-8,-3,0,-6}, C = {-1,1,-6,10,2,0}, find (B ∪ C)'
(i)
{7,-9,-7,11,3,-4,13,6,5,-1}
(ii)
{7,-9,-7,11,3,-4,13,6,5}
(iii)
{7,-9,-7,11,-4,13,6,5,-1}
(iv)
{7,-9,-7,11,-4,13,6,5}
(v)
{7,-9,-7,11,3,13,6,5}
Question
16
16.
If μ = {6,-3,7,-6,8,13,-4,-8,9,-2,-7,4,-5,11,12,-1,5,-9,2},A = {6,-3,7,-6,8,13}, B = {-4,7,-8,9,-3,-2,-7,13,4,-5}, C = {11,12,-7,-1,-2,6}, find (C ∪ A)'
(i)
{4,9,2,5,-5,-9,-8,-4,6}
(ii)
{9,2,5,-5,-9,-8,-4}
(iii)
{4,9,2,5,-9,-8,-4}
(iv)
{4,9,2,5,-5,-9,-8,-4}
(v)
{9,2,5,-5,-9,-8,-4,6}
Question
17
17.
If μ = {10,-8,4,-1,-3,1,5,11,-4,12,8,-7,-2,-6,-5,0,2,6,3,-9},A = {10,-8,4,-1,-3,1}, B = {5,1,11,-3,-4,12,8,4}, C = {8,-7,-1,-3,-2,11,-6,-5}, find (A ∪ B ∪ C)'
(i)
{2,-9,0,6,3}
(ii)
{2,-9,6,3}
(iii)
{2,-9,0,6,3,-2}
(iv)
{-9,0,6,3,-2}
(v)
{-9,0,6,3}
Question
18
18.
If μ = {-8,6,-5,-3,16,9,18,10,4,14,15,13,-6,2,0,11,19,3,5,7,1,17,12,-7},A = {-8,6,-5,-3,16,9,18,10}, B = {18,6,4,14,15,13,-6,2,0,9}, C = {11,-6,16,4,19,-3,3,-8,13,2}, find (A ∩ B)'
(i)
{-8,19,-3,4,12,10,5,2,14,11,7,0,-6,3,-7,16,1,15,17,13,-5,18}
(ii)
{-8,19,-3,4,10,5,2,14,11,7,0,-6,3,-7,16,1,15,17,13,-5}
(iii)
{-8,19,-3,4,12,10,5,2,14,11,7,0,-6,3,-7,16,1,15,17,13,-5}
(iv)
{-8,19,-3,4,12,10,5,2,14,11,7,-6,3,-7,16,1,15,17,13,-5}
(v)
{-8,19,-3,4,10,5,2,14,11,7,0,-6,3,-7,16,1,15,17,13,-5,18}
Question
19
19.
If μ = {-3,6,4,12,-9,-2,11,-7,1,3,-4,-5,7,5,-6,9,-1,2,8,0},A = {-3,6,4,12,-9,-2}, B = {11,-7,6,1,4,-2,3,-4}, C = {11,-2,-5,-9,7,12,5}, find (B ∩ C)'
(i)
{8,6,5,12,9,-1,1,4,-7,-5,-4,-9,7,-3,0,3,2,-6}
(ii)
{8,6,5,12,9,-1,1,4,-7,-5,-4,-9,7,-3,0,3,2,-6,-2}
(iii)
{8,6,5,12,9,-1,1,4,-7,-5,-4,-9,-3,0,3,2,-6}
(iv)
{8,6,5,12,9,-1,1,-7,-5,-4,-9,7,-3,0,3,2,-6}
(v)
{8,6,5,12,9,-1,1,4,-7,-5,-4,-9,-3,0,3,2,-6,-2}
Question
20
20.
If μ = {11,-8,-5,0,4,-2,-6,-1,14,3,6,2,-9,8,9,7,5,-3,-4,12},A = {11,-8,-5,0,4,-2}, B = {-6,-2,-1,11,14,3,6,2}, C = {6,-1,11,-9,8,4,9,7,-8}, find (C ∩ A)'
(i)
{14,0,-4,7,5,-5,-1,-2,2,-9,12,3,-3,8,9,6,-6}
(ii)
{14,0,-4,7,5,-5,-2,2,-9,12,3,-3,8,9,6,-6,4}
(iii)
{14,0,-4,7,5,-5,-2,2,-9,12,3,-3,8,9,6,-6}
(iv)
{14,0,-4,7,5,-5,-1,-2,2,-9,12,-3,8,9,6,-6}
(v)
{14,0,-4,7,5,-5,-1,-2,2,-9,12,3,-3,8,9,6,-6,4}
Question
21
21.
If μ = {-3,15,8,5,-2,-4,0,-5,9,-6,13,-8,10,14,3,-7,12,6,1,2},A = {-3,15,8,5,-2,-4,0}, B = {15,-5,9,-6,8,5,13}, C = {-8,5,10,-4,14,-6,-5,3,-2,9}, find (A ∩ B ∩ C)'
(i)
{1,13,-8,12,0,-3,-5,14,-4,10,15,9,8,3,6,-7,2,-2,-6}
(ii)
{1,13,-8,12,0,-3,-5,14,-4,10,15,9,8,3,6,-7,2,-2,-6,5}
(iii)
{1,13,-8,12,0,-3,-5,14,-4,10,15,9,8,3,6,-7,-2,-6,5}
(iv)
{1,13,-8,12,0,-5,14,-4,10,15,9,8,3,6,-7,2,-2,-6}
(v)
{1,13,-8,12,0,-3,-5,14,-4,10,15,9,8,3,6,-7,-2,-6}
Question
22
22.
If μ = {7,8,5,13,0,10,-2,9,4,15,-4,-7,-8,6,-9,2,-3,-5,3,-6,11},A = {7,8,5,13,0,10,-2,9,4,15}, B = {10,-4,0,-7,-8,6,9}, C = {-8,-2,-9,7,-4,13,10}, find (A − (A ∩ (B ∩ C)))'
(i)
{-4,10,11,-9,-7,6,-3,-5,3,-8,2,-6,0}
(ii)
{-4,10,-9,-7,6,-3,-5,3,-8,2,-6}
(iii)
{-4,10,-9,-7,6,-3,-5,3,-8,2,-6,0}
(iv)
{-4,10,11,-9,-7,6,-3,-5,3,-8,2,-6}
(v)
{-4,10,11,-9,-7,-3,-5,3,-8,2,-6}
Question
23
23.
If μ = {10,15,6,13,-2,12,-8,2,-4,-1,9,-3,-5,3,-9,8,7,5,4,-7,14,0},A = {10,15,6,13,-2,12,-8}, B = {2,-4,6,10,15,-1,9,-3,-5}, C = {-4,-2,-8,3,12,-9,8,-5,10}, find (B − (A ∩ (B ∩ C)))'
(i)
{5,-2,7,-7,13,12,-9,4,-8,10,8,14,3}
(ii)
{5,0,-2,7,-7,13,12,-9,4,-8,10,8,14,3,-5}
(iii)
{5,-2,7,-7,13,12,-9,4,-8,10,8,14,3,-5}
(iv)
{5,0,-2,7,-7,13,12,-9,4,-8,10,8,14,3}
(v)
{5,0,-2,7,-7,13,12,-9,4,-8,10,8,14}
Question
24
24.
If μ = {5,8,4,-5,2,10,-2,-8,1,0,-9,14,6,-1,7,-4,-3,13,-6,12,-7,3},A = {5,8,4,-5,2,10}, B = {-2,-8,4,1,0,10,-9,14}, C = {1,-9,2,10,6,-1,0,-5,7}, find (C − (A ∩ (B ∩ C)))'
(i)
{3,-2,-6,13,12,-4,-7,8,-3,5,14,-8,10,4}
(ii)
{3,-2,-6,13,12,-4,-7,8,-3,5,14,-8,10,4,0}
(iii)
{3,-2,-6,13,12,-7,8,-3,5,14,-8,10,4}
(iv)
{3,-2,-6,13,12,-7,8,-3,5,14,-8,10,4,0}
(v)
{3,-2,-6,13,12,-4,-7,8,-3,5,14,10,4}
Question
25
25.
Find A'
(i)
{11,10,-3,4,0,3,2,-5,-9,-2,12,14,13,-4,-6,9}
(ii)
{11,10,-3,4,0,3,2,-5,-9,-2,12,-1,14,13,-4}
(iii)
{11,10,-3,0,3,2,-5,-9,-2,12,-1,14,13,-4,-6,8}
(iv)
{11,10,-3,4,0,3,2,-5,-9,-2,12,-1,14,13,-4,-6,8}
(v)
{11,10,-3,4,0,3,2,-5,-9,-2,12,-1,14,13,-4,-6}
Question
26
26.
Find B'
(i)
{5,15,-5,17,4,16,2,3,10,-4,14,0,-1,8,-7}
(ii)
{5,15,-5,17,4,16,2,3,10,-4,0,-1,8}
(iii)
{5,15,-5,17,4,16,3,10,-4,14,0,-1,8,7}
(iv)
{15,-5,17,4,16,2,3,10,-4,14,0,-1,8,-7}
(v)
{5,15,-5,17,4,16,2,3,10,-4,14,0,-1,8}
Question
27
27.
Find C'
(i)
{5,11,12,-7,-6,-9,-2,15,-8,6,-4,17,3,0,-5}
(ii)
{5,12,-7,-6,-9,-2,14,15,-8,6,-4,17,3,0}
(iii)
{5,11,12,-7,-6,-9,-2,14,15,-8,6,-4,17,3,0}
(iv)
{5,11,12,-7,-6,-9,14,15,-8,6,-4,17,3,0,10}
(v)
{5,11,12,-7,-6,-9,-2,14,15,-8,6,-4,17,3,0,10}
Question
28
28.
Find (A ∪ B)'
(i)
{-4,8,-6,3,9,-2,-8,-3,10}
(ii)
{-4,8,-6,3,9,-2,-3,10,5}
(iii)
{-4,8,-6,3,9,-2,-3,10,12}
(iv)
{-4,8,3,9,-2,-8,-3,10}
(v)
{-4,8,-6,3,9,-2,-8,-3,10,12}
Assignment Key
1) (ii)
2) (v)
3) (i)
4) (ii)
5) (ii)
6) (iii)
7) (i)
8) (iv)
9) (iv)
10) (ii)
11) (ii)
12) (v)
13) (ii)
14) (iii)
15) (ii)
16) (iv)
17) (i)
18) (iii)
19) (i)
20) (i)
21) (i)
22) (iv)
23) (iv)
24) (i)
25) (v)
26) (v)
27) (iii)
28) (i)
