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