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