EduSahara™ Assignment
Name : Set Subtraction Problems
Chapter : Sets
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Find A − (B ∪ C)
(i)
{-1,12,15,-9}
(ii)
{18,-1,12,15,-9}
(iii)
{18,-1,12,15,-9,-2}
(iv)
{18,-1,12,-9,-2}
(v)
{-1,12,15,-9,-7}
Question
2
2.
Find B − (C ∪ A)
(i)
{-5}
(ii)
{-4}
(iii)
{}
Question
3
3.
Find C − (A ∪ B)
(i)
{-4,-7}
(ii)
{-4,5}
(iii)
{-4,-7,0}
(iv)
{-7,0}
(v)
{-4}
Question
4
4.
Find A − (B ∩ C)
(i)
{10,0,2,7,1,4}
(ii)
{10,2,7,3,1,8}
(iii)
{10,0,2,7,3,1}
(iv)
{10,0,2,3,1}
(v)
{10,0,2,7,3,1,8}
Question
5
5.
Find B − (C ∩ A)
(i)
{6,2,15,11,-5,18,5}
(ii)
{6,15,11,-5,-6,18,5,19}
(iii)
{6,2,15,11,-6,18,5,17}
(iv)
{6,2,15,11,-5,-6,18,5,19}
(v)
{6,2,15,11,-5,-6,18,5}
Question
6
6.
Find C − (A ∩ B)
(i)
{4,0,8,-7,-6}
(ii)
{4,0,8,-7,7}
(iii)
{4,0,8,-7,7,10}
(iv)
{4,0,8,7,10}
(v)
{0,8,-7,7}
Question
7
7.
Find A − (A ∩ (B ∩ C))
(i)
{7,-8,-1,-7,5,8}
(ii)
{1,-8,-1,-7,5,-2}
(iii)
{1,7,-8,-1,-7,5,8}
(iv)
{7,-8,-1,-7,5}
(v)
{1,7,-8,-1,-7,5}
Question
8
8.
Find B − (A ∩ (B ∩ C))
(i)
{1,3,6,-9,-6}
(ii)
{1,3,6,-9,-5,-6}
(iii)
{1,3,6,-9,9}
(iv)
{1,6,-9,-5}
(v)
{1,3,6,-9,-5}
Question
9
9.
Find C − (A ∩ (B ∩ C))
(i)
{-1,3,0,-8,12,6,-3,-7,5,2}
(ii)
{-1,3,0,-8,12,-9,6,-3,-7,5}
(iii)
{3,0,-8,12,-9,6,-3,-7,5}
(iv)
{-1,3,-8,12,-9,6,-3,-7,5,16}
(v)
{-1,3,0,-8,12,-9,6,-3,-7,5,16}
Question
10
10.
Find (A − B) ∩ (A − C)
(i)
{-6,-5,-9,11,-8,6}
(ii)
{-6,-5,-9,11,-8,-2}
(iii)
{-5,-9,11,-8,6}
(iv)
{-6,-9,11,-8,6,-3}
(v)
{-6,-5,-9,11,-8,6,-3}
Question
11
11.
Find (B − C) ∩ (B − A)
(i)
{13,-1,9,15,3,5}
(ii)
{13,9,15,3,6}
(iii)
{13,-1,15,3}
(iv)
{13,-1,9,15,3}
(v)
{13,-1,9,15,5}
Question
12
12.
Find (C − A) ∩ (C − B)
(i)
{0,5,-6}
(ii)
{0,5,14}
(iii)
{0,5,-6,7}
(iv)
{0,-6,7}
(v)
{5,-6}
Question
13
13.
Find (A − B) ∪ (A − C)
(i)
{16,3,14,2,-7,1,0,4}
(ii)
{16,3,14,2,-7,0,13}
(iii)
{16,3,14,2,-7,1,0}
(iv)
{16,3,14,2,1,0}
(v)
{16,3,14,2,1,0,4}
Question
14
14.
Find (B − C) ∪ (B − A)
(i)
{-4,6,-5,-6,-8,7,-3}
(ii)
{-4,6,-5,-6,7}
(iii)
{-4,6,-5,-6,7,-3}
(iv)
{-4,6,-5,-6,-8,7}
(v)
{-4,6,-5,-8,7,-7}
Question
15
15.
Find (C − A) ∪ (C − B)
(i)
{-3,13,-5,9,1,-9}
(ii)
{-3,13,-5,1,-9,18}
(iii)
{-3,13,-5,1,-9}
(iv)
{-3,-5,9,1,-9,10}
(v)
{-3,13,-5,9,1,-9,10}
Question
16
16.
If μ = {9,8,10,-7,1,3,-8,-5,2,0,-6,5,-2,4,7,-4,-9,-1},A = {9,8,10,-7,1,3}, B = {10,-7,-8,9,-5,8,3}, C = {2,10,1,0,9,-6}, find A − (B ∪ C)
(i)
{}
(ii)
{8}
(iii)
{-2}
Question
17
17.
If μ = {-4,1,6,5,-1,8,-6,9,-3,-9,12,7,2,-8,3,-7,4,11,-2},A = {-4,1,6,5,-1,8,-6,9,-3}, B = {-4,8,-1,9,5,-9}, C = {1,12,6,-3,-4,-6}, find B − (C ∪ A)
(i)
{-8}
(ii)
{-1}
(iii)
{-9,-1}
(iv)
{-9}
(v)
{}
Question
18
18.
If μ = {-9,-4,-1,9,0,1,3,16,-8,5,-7,2,17,-3,12,6,-5,11,-6,8,15,7,14,10,-2},A = {-9,-4,-1,9,0,1,3,16,-8}, B = {5,-7,-4,2,17,1,-3,12,6,3}, C = {-5,0,11,5,-6,16,8,-1}, find C − (A ∪ B)
(i)
{11,8,-6}
(ii)
{11,8,-5,-6}
(iii)
{11,8,-6,5}
(iv)
{8,-5,-6,0}
(v)
{11,8,-5,-6,5}
Question
19
19.
If μ = {15,13,-9,-2,2,7,3,8,-7,-5,0,11,-3,-4,14,6,5,4,10,-1,1,-6,-8},A = {15,13,-9,-2,2,7,3,8}, B = {-7,2,-5,0,7,11,-3,-4}, C = {11,-5,2,14,6,5,4,10}, find A − (B ∩ C)
(i)
{13,3,7,-9,15,-2,8}
(ii)
{13,3,7,15,-2,8}
(iii)
{13,3,7,-9,15,-2}
(iv)
{13,3,7,-9,15,-2,-3}
(v)
{13,3,7,-9,15,-2,8,-3}
Question
20
20.
If μ = {7,9,5,-4,3,-6,2,12,0,10,-9,-7,-5,-1,6,-8,8,-2,4,11},A = {7,9,5,-4,3,-6,2}, B = {12,0,10,-6,-9,-7}, C = {0,-6,10,9,-5,3,5,12}, find B − (C ∩ A)
(i)
{0,-9,12,-7,-1}
(ii)
{0,-9,12,-7}
(iii)
{-9,12,-7,10,-5}
(iv)
{0,-9,12,-7,10,-1}
(v)
{0,-9,12,-7,10}
Question
21
21.
If μ = {6,-5,14,3,4,11,-9,2,-3,7,-7,1,0,9,-8,13,12,-2,15,5,-6},A = {6,-5,14,3,4,11,-9}, B = {2,-3,7,-9,14,3,11,-7,1,0}, C = {6,9,-8,1,13,12,-5}, find C − (A ∩ B)
(i)
{1,6,9,13,-8,-5,12,15}
(ii)
{1,6,9,13,-5,12}
(iii)
{1,6,9,13,-8,12}
(iv)
{1,6,9,13,-8,-5,12}
(v)
{1,6,9,13,-5,12,15}
Question
22
22.
If μ = {-6,-2,6,2,-5,11,12,3,-8,4,-4,-1,9,-3,13,5,7,1,-9,10},A = {-6,-2,6,2,-5,11,12}, B = {3,-2,-8,6,2,4,-6}, C = {-4,4,-1,11,9,6,-5,-3}, find A − (A ∩ (B ∩ C))
(i)
{2,-2,12,-5,11,3}
(ii)
{2,-2,12,-5,11}
(iii)
{2,-6,-2,12,-5,11}
(iv)
{2,-6,-2,12,-5,11,3}
(v)
{2,-6,-2,12,11}
Question
23
23.
If μ = {6,-6,10,9,7,-8,-9,-2,3,8,5,-4,2,13,-7,0,-1,12,1,4,-5,-3},A = {6,-6,10,9,7,-8,-9}, B = {-2,7,3,-9,8,10}, C = {5,-4,-2,2,8,13,-7,0,7,-1}, find B − (A ∩ (B ∩ C))
(i)
{10,8,-2,-9}
(ii)
{10,3,8,-2,-9}
(iii)
{10,3,8,-2,-9,4}
(iv)
{3,8,-2,-9}
(v)
{3,8,-2,-9,4}
Question
24
24.
If μ = {-3,13,-6,-7,10,2,1,3,4,-9,5,-8,6,-1,-2,9,0,7,15,8,-4,11},A = {-3,13,-6,-7,10,2,1,3,4,-9}, B = {5,2,10,4,-9,3,-8,6}, C = {6,4,-3,13,-1,-8}, find C − (A ∩ (B ∩ C))
(i)
{-8,13,6,-1,2}
(ii)
{-3,-8,13,6,-1,-9}
(iii)
{-3,-8,13,6,-1}
(iv)
{-3,13,6,-1,-9}
(v)
{-3,13,6,-1}
Question
25
25.
If μ = {8,0,-8,1,-3,18,-7,17,-9,-6,-5,-1,14,11,16,12,3,2,13,4,6,10,7,15},A = {8,0,-8,1,-3,18,-7,17,-9,-6}, B = {-5,-1,17,14,11,8,-6}, C = {-1,0,-3,-8,16,12,1,3,-5,11}, find (A − B) ∩ (A − C)
(i)
{-7,-9,18}
(ii)
{-9,18}
(iii)
{-7,-9,18,1}
(iv)
{-9,18,1}
(v)
{-7,-9}
Question
26
26.
If μ = {0,13,-3,2,5,-4,4,11,-6,-7,1,14,6,15,-5,-2,12,3,9,-9,-1,-8},A = {0,13,-3,2,5,-4,4,11}, B = {-6,-7,5,1,-4,14,6}, C = {15,-3,-5,4,-2,1,-7,12,13}, find (B − C) ∩ (B − A)
(i)
{14,-6,6}
(ii)
{14,6}
(iii)
{14,-6,6,13}
(iv)
{14,-6,13}
(v)
{14,-6}
Question
27
27.
If μ = {-2,5,6,11,10,0,-5,-3,1,-4,14,4,3,-6,2,-8,8,13,-7,7,-9,12,9},A = {-2,5,6,11,10,0,-5}, B = {-3,1,5,-4,14,11}, C = {4,0,3,-3,1,-6,-5,11,-4,2}, find (C − A) ∩ (C − B)
(i)
{4,3,-6,2,-4}
(ii)
{4,3,-6,-4}
(iii)
{4,-6,2,0}
(iv)
{4,3,-6,2}
(v)
{4,3,-6}
Question
28
28.
If μ = {16,-1,-4,-5,18,7,-3,8,-8,3,4,-6,10,0,19,-7,11,2,-2,5,14,12,1},A = {16,-1,-4,-5,18,7,-3,8,-8,3}, B = {7,-1,4,-3,8,-6,10,-4,18}, C = {4,7,0,-4,-6,-3,10,19,-7}, find (A − B) ∪ (A − C)
(i)
{3,18,16,-1,8,-8,-5}
(ii)
{3,16,-1,8,-8,-5,-4}
(iii)
{3,16,-1,8,-8,-5}
(iv)
{18,16,-1,8,-8,-5}
(v)
{3,18,16,-1,8,-8,-5,-4}
Question
29
29.
If μ = {11,-6,-9,-1,0,10,5,3,-4,-3,-7,4,12,2,6,-8,9,7,14,8,-5},A = {11,-6,-9,-1,0,10,5,3}, B = {-4,-3,-7,10,5,4,3}, C = {-9,12,2,6,5,-1,-4,-8}, find (B − C) ∪ (B − A)
(i)
{10,4,3,-7,-3}
(ii)
{10,-4,4,3,-7,-3}
(iii)
{10,-4,4,3,-7,-3,7}
(iv)
{10,4,3,-7,-3,7}
(v)
{10,-4,4,-7,-3}
Question
30
30.
If μ = {2,7,-7,6,5,-1,-4,-2,-8,3,4,12,10,-5,9,-9,11,-3,-6},A = {2,7,-7,6,5,-1}, B = {-4,-2,-8,3,7,4,12,5,10}, C = {-5,9,-9,6,3,7}, find (C − A) ∪ (C − B)
(i)
{3,9,6,-9}
(ii)
{3,9,6,-9,-5,5}
(iii)
{9,6,-9,-5}
(iv)
{3,9,6,-9,5}
(v)
{3,9,6,-9,-5}
Assignment Key
1) (ii)
2) (iii)
3) (i)
4) (iii)
5) (v)
6) (ii)
7) (v)
8) (v)
9) (ii)
10) (i)
11) (iv)
12) (i)
13) (iii)
14) (iv)
15) (i)
16) (i)
17) (iv)
18) (ii)
19) (i)
20) (v)
21) (iv)
22) (iii)
23) (ii)
24) (iii)
25) (i)
26) (i)
27) (iv)
28) (i)
29) (ii)
30) (v)
