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