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