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