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