EduSahara™ Assignment
Name : Two Set Problems
Chapter : Sets
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Find A
(i)
{-6,-2,3,-8,-1,-9}
(ii)
{9,-2,-9,-6,-8,3}
(iii)
{-2,-9,-6,3,-1}
(iv)
{-9,-6,-8,-2,3}
(v)
{-6,-9,-1,-2,9,3,-8}
Question
2
2.
Find B
(i)
{-9,6,-7}
(ii)
{6,-7,8,-1,-9}
(iii)
{8,6,-7,-9}
(iv)
{-9,8,6}
(v)
{8,0,-7,-9}
Question
3
3.
Find A ∪ B
(i)
{7,4,-8,-9,9,5,8,2}
(ii)
{7,-9,8,-2,5,4,9,-8,2,6}
(iii)
{9,5,2,-8,6,4,7,8}
(iv)
{7,-9,-8,6,4,8,9,5,2}
(v)
{-8,8,6,2,4,-9,-7,7,5}
Question
4
4.
Find A ∩ B
(i)
{4,5}
(ii)
{4}
(iii)
{7}
(iv)
{5,4,7}
(v)
{4,7}
Question
5
5.
Find A − B
(i)
{}
(ii)
{0,9,7,5,3,-2}
(iii)
{-2,5,7,9}
(iv)
{7,-2,3,9,5}
(v)
{-2,7,9,5,1}
Question
6
6.
Find (A − B) ∪ (B − A)
(i)
{-9,-6,-7,-5,6}
(ii)
{4,-7,-9,-5,6}
(iii)
{-9,-6,-7,6,4,-5,-8}
(iv)
{-6,-5,6,-9,-7,4}
(v)
{4,-9,-5,6,-7,7}
Question
7
7.
Find (A ∪ B) − (A ∩ B)
(i)
{6,7,1,4,-1,-8}
(ii)
{1,6,4,7,-8}
(iii)
{1,7,4,-8,8,6,-1}
(iv)
{-3,1,6,4,-1,7}
(v)
{4,1,-1,-8,7}
Question
8
8.
Find A'
(i)
{-1,5,3,8,-7,-3}
(ii)
{}
(iii)
{8,5,-2,-1,-3,-7,3}
(iv)
{3,-3,-2,-1,-7,5}
Question
9
9.
Find B'
(i)
{}
(ii)
{4,-4,-5,-1}
(iii)
{2,4,-1,-5,-4}
(iv)
{-4,-1,-5,2}
Question
10
10.
Find (A ∪ B)'
(i)
{}
(ii)
{-3,8,6}
(iii)
{4,6,8,-3}
Question
11
11.
Find (A ∩ B)'
(i)
{}
(ii)
{8,-7,-9,-8,-3,-1,0,-5,4,5,-4,3,-6,9}
(iii)
{-4,-5,8,-9,9,3,0,-1,-8,-3,5,6,-6,-7}
(iv)
{9,-3,-7,-8,-5,-4,6,-9,4,5,3,0,8,-6}
(v)
{6,5,-8,0,-1,-6,3,-7,-3,-4,-5,9,4,8,-9}
Question
12
12.
Find (A − B)'
(i)
{-8,5,4,-1,7,-9,8,9,-6,-4}
(ii)
{8,5,-1,-6,-4,9,-9,7,-8,-7}
(iii)
{}
(iv)
{4,-1,-8,7,-7,-4,-9,5,8,-6,9}
Question
13
13.
Find (B − A)'
(i)
{-3,-1,-6,-8,4,9,1,8,-2,-4,-9,0}
(ii)
{}
(iii)
{8,-4,4,9,-9,-8,1,-3,-6,-1,0,-5}
(iv)
{-5,-6,-9,-8,1,8,4,-2,-4,-3,9,-1,0}
Question
14
14.
Find ( (A − B) ∪ (B − A) )'
(i)
{5,1,8,-1,6}
(ii)
{0,-1,6,8,1}
(iii)
{}
(iv)
{5,8,1,-1,6,0}
Question
15
15.
Find A' ∪ B'
(i)
{5,8,-8,2,-7,7,-4,9,4,-5}
(ii)
{-7,7,5,2,-5,9,8,-8,4,-4,1}
(iii)
{}
(iv)
{5,-7,8,-5,7,9,1,4,-8,2}
(v)
{8,-5,2,7,-8,4,9,-4,-7,1}
Question
16
16.
Find A' ∩ B'
(i)
{}
(ii)
{-9,0,8,-6,-8}
(iii)
{8,0,-6,-8,-9,5}
Question
17
17.
Find B' ∩ A'
(i)
{}
(ii)
{0,5,7,-2}
(iii)
{7,5,-2}
Question
18
18.
If μ = {-2,-3,0,3,-6,5,2,8,-7,-5,-4,-8,4,-9,9}, A = {-2,-3,0,3,-6} and B = {0,3,-2,5,2,8,-7}, find A
(i)
{-3,0,-9,-2,-6,3}
(ii)
{-6,-2,3,-3}
(iii)
{-6,0,-2,4,3}
(iv)
{-6,-2,3,0,-3}
(v)
{}
Question
19
19.
If μ = {-2,-3,6,-9,-1,7,-5,4,0,1}, A = {-2,-3,6} and B = {-9,-1,7,-5,4}, find B
(i)
{7,4,-9,-5}
(ii)
{}
(iii)
{1,-9,4,-1,7,-5}
(iv)
{0,7,-5,-9,4}
(v)
{-1,-5,-9,7,4}
Question
20
20.
If μ = {-1,2,-7,4,8,-2,9,-6,5,0,3,6,7,-5,-3,1,-4}, A = {-1,2,-7,4,8,-2} and B = {9,8,2,-1,-6,5,-7}, find A ∪ B
(i)
{9,8,-2,-6,3,2,-1,4,-7}
(ii)
{9,8,4,-1,5,2,-6,-2,-7}
(iii)
{-2,4,8,-1,2,5,9,-6}
(iv)
{-2,4,8,-7,5,2,-6,9}
(v)
{-7,-2,2,-1,-6,4,-4,9,8,5}
Question
21
21.
If μ = {8,9,0,4,-3,-2,-7,3,2,-1,1,-6,-9,-4,-8}, A = {8,9,0,4,-3,-2,-7} and B = {3,-2,8,9,2,-1}, find A ∩ B
(i)
{8,9,-2}
(ii)
{8,1,-2}
(iii)
{}
(iv)
{8,-2}
(v)
{-2,-4,9,8}
Question
22
22.
If μ = {8,-4,-8,-2,1,-9,6,4,-6,-7,3,-3}, A = {8,-4,-8,-2} and B = {-4,-8,1,-9,6}, find A − B
(i)
{-2}
(ii)
{}
(iii)
{8,-2,-6}
(iv)
{8,-2}
(v)
{4,8}
Question
23
23.
If μ = {-4,-3,1,-5,3,-2,-7,0,-9,4,2,-6,-1,6}, A = {-4,-3,1,-5,3,-2} and B = {-7,0,-9,-4}, find B − A
(i)
{0,-7}
(ii)
{-7,0,2}
(iii)
{-7,-9,0}
(iv)
{-1,0,-9,-7}
(v)
{}
Question
24
24.
If μ = {-4,-1,-8,0,9,2,-6,3,-7,-9,7,5}, A = {-4,-1,-8} and B = {-1,0,9,2,-6,3,-8}, find (A − B) ∪ (B − A)
(i)
{3,-6,2,0,9,-4}
(ii)
{2,-6,3,-7,9,-4,0}
(iii)
{-6,2,0,9,-4}
(iv)
{7,-6,2,3,0,-4}
(v)
{}
Question
25
25.
If μ = {2,-7,8,-4,5,3,7,-2,-1,-3,1,-8,-9}, A = {2,-7,8,-4,5,3} and B = {7,-2,8}, find (A ∪ B) − (A ∩ B)
(i)
{3,7,-7,-4,5,2}
(ii)
{2,-7,5,-1,-4,3,7}
(iii)
{5,2,-1,7,-7,3,-2,-4}
(iv)
{2,-7,7,3,-4,-2}
(v)
{2,-2,5,-4,-7,3,7}
Question
26
26.
If μ = {-9,4,-8,5,-1,8,-4,-6,7,-3,3,2,-2}, A = {-9,4,-8,5} and B = {-1,8,-9,-4,-6,7}, find A'
(i)
{7,3,-4,8,-3,2,-1,-2}
(ii)
{}
(iii)
{-4,2,-6,-2,-3,8,3,-1}
(iv)
{-6,-3,-1,8,2,-2,7,3,-4}
Question
27
27.
If μ = {5,-1,3,-6,-7,-9,-5,9,-8,4,-2,-3,8,0}, A = {5,-1,3,-6,-7,-9} and B = {-5,9,-7,-8}, find B'
(i)
{}
(ii)
{-9,-1,5,4,0,-2,3,-3,8}
(iii)
{3,4,-6,-3,5,-2,0,8,-9,-1}
Question
28
28.
If μ = {-5,4,9,-3,-2,-6,-4,1,7,2,5,-9}, A = {-5,4,9,-3,-2} and B = {-3,-6,4,-4}, find (A ∪ B)'
(i)
{7,1,5,-9,2}
(ii)
{}
(iii)
{-9,2,7,1}
Question
29
29.
If μ = {-8,3,0,6,-5,-6,2,-1,-9}, A = {-8,3,0} and B = {6,3,-5,-6}, find (A ∩ B)'
(i)
{-6,-8,0,-5,2,-1,-9,6}
(ii)
{-5,2,0,-8,-1,6,-9}
(iii)
{6,-1,2,-5,-6,0,-9}
(iv)
{-5,0,-8,-6,-9,2,6}
(v)
{}
Question
30
30.
If μ = {0,6,9,2,8,-6,-7,-4,3,-3,7,1,-2,-1,-8,-5,5,-9}, A = {0,6,9,2,8,-6,-7} and B = {-4,3,9,-3,2,7,1}, find (A − B)'
(i)
{-2,1,9,-1,-9,-4,-8,5,3,-3,-5,7}
(ii)
{-5,-8,-4,7,-2,-1,1,9,-3,3,5,2,-9}
(iii)
{}
(iv)
{-5,-1,9,7,-3,1,-4,3,-2,5,2,-8}
Question
31
31.
If μ = {3,1,5,-8,-9,4,-3,7,-6,-2}, A = {3,1,5,-8} and B = {-8,1,-9}, find (B − A)'
(i)
{4,7,1,-6,5,-2,-3,3,-8}
(ii)
{5,-2,4,3,-3,-8,-6,7}
(iii)
{}
Question
32
32.
If μ = {-7,6,3,-6,-9,2,-1,8,-3,-4,1}, A = {-7,6,3,-6,-9} and B = {6,2,-6}, find ( (A − B) ∪ (B − A) )'
(i)
{6,-3,-6,-1,-4,8}
(ii)
{}
(iii)
{6,8,-6,-4,1,-1,-3}
(iv)
{-1,-3,-6,1,8,-4}
Question
33
33.
If μ = {6,-6,0,-3,3,4,-7,-8,-4,2,1,5,-1,-9,7}, A = {6,-6,0,-3,3,4} and B = {6,-7,-6,-8,0,4}, find A' ∪ B'
(i)
{2,5,-1,-7,7,-9,-4,1,-8,-3,3}
(ii)
{5,-9,-7,1,7,-8,-1,-4,2,3}
(iii)
{-4,2,3,-1,1,5,-9,-8,-3,7}
(iv)
{}
Question
34
34.
If μ = {9,-3,4,1,8,6,5,-6,3,-5,2,-7,-1,-4,-2}, A = {9,-3,4,1,8,6,5} and B = {4,-3,9,-6}, find A' ∩ B'
(i)
{3,-4,-2,-1,2,-7}
(ii)
{}
(iii)
{3,-5,-4,2,-7,-2,-1}
Question
35
35.
If μ = {5,9,-3,7,-4,4,2,1}, A = {5,9,-3} and B = {7,9,-4}, find B' ∩ A'
(i)
{1,2,4}
(ii)
{}
(iii)
{1,2}
Question
36
36.
Find n(A)
(i)
9
(ii)
4
(iii)
7
(iv)
8
(v)
6
Question
37
37.
Find n(B)
(i)
9
(ii)
7
(iii)
4
(iv)
6
(v)
8
Question
38
38.
Find n(A ∪ B)
(i)
7
(ii)
4
(iii)
10
(iv)
6
(v)
8
Question
39
39.
Find n(A ∩ B)
(i)
6
(ii)
2
(iii)
4
(iv)
3
(v)
1
Question
40
40.
Find n(A − B)
(i)
5
(ii)
2
(iii)
3
(iv)
4
(v)
0
Question
41
41.
Find n(B − A)
(i)
4
(ii)
7
(iii)
1
(iv)
3
(v)
5
Question
42
42.
Find n((A − B) ∪ (B − A))
(i)
3
(ii)
4
(iii)
5
(iv)
1
(v)
7
Question
43
43.
Find n((A ∪ B) − (A ∩ B))
(i)
5
(ii)
1
(iii)
7
(iv)
4
(v)
3
Question
44
44.
Find n(A')
(i)
6
(ii)
7
(iii)
10
(iv)
8
(v)
9
Question
45
45.
Find n(B')
(i)
9
(ii)
7
(iii)
6
(iv)
11
(v)
8
Question
46
46.
Find n((A ∪ B)')
(i)
9
(ii)
5
(iii)
7
(iv)
4
(v)
6
Question
47
47.
Find n((A ∩ B)')
(i)
16
(ii)
14
(iii)
15
(iv)
18
(v)
12
Question
48
48.
Find n((A − B)')
(i)
15
(ii)
16
(iii)
14
(iv)
17
(v)
12
Question
49
49.
Find n((B − A)')
(i)
7
(ii)
10
(iii)
8
(iv)
9
(v)
11
Question
50
50.
Find n(( (A − B) ∪ (B − A) )')
(i)
3
(ii)
(-1)
(iii)
4
(iv)
1
(v)
2
Question
51
51.
Find n(A' ∪ B')
(i)
15
(ii)
17
(iii)
18
(iv)
16
(v)
13
Question
52
52.
Find n(A' ∩ B')
(i)
6
(ii)
9
(iii)
4
(iv)
7
(v)
5
Question
53
53.
Find n(B' ∩ A')
(i)
9
(ii)
7
(iii)
5
(iv)
3
(v)
6
Question
54
54.
If μ = {4,-1,-3,-4,7,5,-9,-2,3,-7,1,9,-5,-8,6}, A = {4,-1,-3,-4,7,5} and B = {-4,4,-1,-9,-2}, find n(A)
(i)
4
(ii)
5
(iii)
7
(iv)
6
(v)
9
Question
55
55.
If μ = {9,-1,-7,0,7,-2,4,-8,6,-4,1,8}, A = {9,-1,-7,0} and B = {7,-2,-1,4,0}, find n(B)
(i)
6
(ii)
8
(iii)
4
(iv)
2
(v)
5
Question
56
56.
If μ = {-6,7,4,3,-9,6,2,8,0,-5,-4,-7,-2,-1}, A = {-6,7,4,3} and B = {-9,6,2,8,0,-5,-4}, find n(A ∪ B)
(i)
9
(ii)
13
(iii)
12
(iv)
11
(v)
10
Question
57
57.
If μ = {3,9,7,-4,-7,2,-3,1,-1,0,-6,-2,-5,-8}, A = {3,9,7,-4,-7} and B = {2,-3,1,7,-1,0}, find n(A ∩ B)
(i)
1
(ii)
0
(iii)
3
(iv)
(-1)
(v)
2
Question
58
58.
If μ = {1,-9,3,-4,-3,8,9,7,-2,6,-7,4}, A = {1,-9,3} and B = {-4,-3,8,1,9,7,-2}, find n(A − B)
(i)
4
(ii)
2
(iii)
1
(iv)
(-1)
(v)
3
Question
59
59.
If μ = {-6,2,8,-1,-2,-4,4,-3,5,3,9,0,-9,-7}, A = {-6,2,8,-1,-2} and B = {-4,4,-3,-6,5,3}, find n(B − A)
(i)
5
(ii)
6
(iii)
7
(iv)
4
(v)
3
Question
60
60.
If μ = {-1,-4,-6,-5,9,6,-3,0,2,5,8,4,-9,-8,-2,1}, A = {-1,-4,-6,-5,9,6,-3} and B = {0,2,6,-3,5,9}, find n((A − B) ∪ (B − A))
(i)
4
(ii)
8
(iii)
7
(iv)
10
(v)
6
Question
61
61.
If μ = {3,-5,-4,7,-6,2,5,1,6,-3,-2,-1,-7}, A = {3,-5,-4,7,-6} and B = {2,5,-6,7,1}, find n((A ∪ B) − (A ∩ B))
(i)
3
(ii)
9
(iii)
7
(iv)
5
(v)
6
Question
62
62.
If μ = {8,-6,-5,2,-2,4,0,5,-1,9,3,6,1,-3,-7}, A = {8,-6,-5,2,-2} and B = {4,0,-5,2,5,-1,9}, find n(A')
(i)
13
(ii)
8
(iii)
11
(iv)
10
(v)
9
Question
63
63.
If μ = {-1,-2,9,-6,0,6,-5,-4,1,-9,-7,7,4,5,3}, A = {-1,-2,9,-6,0} and B = {6,-2,-5,-4,1,9,0}, find n(B')
(i)
10
(ii)
7
(iii)
9
(iv)
6
(v)
8
Question
64
64.
If μ = {8,-7,-9,9,4,6,-5,7,3,-2,-8,1,10,-4,-6,5,0,2}, A = {8,-7,-9,9,4,6,-5} and B = {9,7,4,3,-2,-8,1}, find n((A ∪ B)')
(i)
6
(ii)
3
(iii)
5
(iv)
9
(v)
7
Question
65
65.
If μ = {-1,0,5,-5,9,-8,4,3,2,-2,8,1}, A = {-1,0,5,-5,9} and B = {0,-5,-8,4}, find n((A ∩ B)')
(i)
11
(ii)
10
(iii)
9
(iv)
8
(v)
12
Question
66
66.
If μ = {5,6,-3,-5,-9,-4,-6,7,8,2,0,3,9,-1,4}, A = {5,6,-3,-5,-9} and B = {-4,-6,-9,7,8,6,5}, find n((A − B)')
(i)
14
(ii)
13
(iii)
11
(iv)
15
(v)
12
Question
67
67.
If μ = {-4,-2,-9,4,1,6,9,-1,-6,-3,0,7}, A = {-4,-2,-9,4,1} and B = {6,9,-1,-6}, find n((B − A)')
(i)
9
(ii)
8
(iii)
5
(iv)
7
(v)
10
Question
68
68.
If μ = {5,9,-3,3,-7,0,2,-5,-1,7}, A = {5,9,-3,3} and B = {5,-7,0}, find n(( (A − B) ∪ (B − A) )')
(i)
4
(ii)
5
(iii)
6
(iv)
2
(v)
8
Question
69
69.
If μ = {1,-8,6,7,9,-9,2,8,-4,-5,5,-2,3,-6,-7,4}, A = {1,-8,6,7,9,-9} and B = {2,8,-4,6,-9,9}, find n(A' ∪ B')
(i)
14
(ii)
10
(iii)
12
(iv)
13
(v)
16
Question
70
70.
If μ = {3,-5,-9,4,1,2,-4,-1,-3,6,-2,7,-7,0,-6,-8,9}, A = {3,-5,-9,4,1,2} and B = {-4,-5,-1,2,-9,-3,6}, find n(A' ∩ B')
(i)
6
(ii)
7
(iii)
8
(iv)
9
(v)
5
Question
71
71.
If μ = {-3,7,2,-7,3,1,-5,0,-6,4,8,9,6,-4,-2}, A = {-3,7,2,-7,3,1,-5} and B = {7,0,-3,-5}, find n(B' ∩ A')
(i)
10
(ii)
6
(iii)
7
(iv)
8
(v)
4
Question
72
72.
Find B − A
(i)
{-5,-7}
(ii)
{0,-5,8}
(iii)
{0,-5,-7}
(iv)
{}
(v)
{0,-5,-7,8}
Assignment Key
1) (i)
2) (iii)
3) (iv)
4) (v)
5) (iv)
6) (iv)
7) (i)
8) (iii)
9) (iii)
10) (iii)
11) (v)
12) (iv)
13) (iv)
14) (iv)
15) (ii)
16) (iii)
17) (ii)
18) (iv)
19) (v)
20) (ii)
21) (i)
22) (iv)
23) (iii)
24) (i)
25) (v)
26) (iv)
27) (iii)
28) (i)
29) (i)
30) (ii)
31) (i)
32) (iii)
33) (i)
34) (iii)
35) (i)
36) (iii)
37) (ii)
38) (i)
39) (iv)
40) (iii)
41) (i)
42) (ii)
43) (iv)
44) (iv)
45) (v)
46) (v)
47) (iii)
48) (i)
49) (iv)
50) (v)
51) (iv)
52) (i)
53) (v)
54) (iv)
55) (v)
56) (iv)
57) (i)
58) (ii)
59) (i)
60) (iii)
61) (v)
62) (iv)
63) (v)
64) (i)
65) (ii)
66) (ii)
67) (ii)
68) (ii)
69) (iv)
70) (ii)
71) (iii)
72) (iii)
