ICSE Board Practice

ICSE Grade VIII - Sets
Question 1
1.
If μ = {9,-3,2,-5,4,5,8,12,-1,6,0,3,-2,11,10,-8,-6,-9,-7},A = {9,-3,2,-5,4,5,8}, B = {5,-3,12,8,-1,6,0}, C = {9,-1,-5,3,4,-2,12}, find C − (A ∩ B)
  • {12,-2,-1,-5,9,3}
  • {4,12,-2,-5,9,3,-7}
  • {4,12,-2,-5,9,3}
  • {4,12,-2,-1,-5,9,3,-7}
  • {4,12,-2,-1,-5,9,3}
Question 2
2.
If A = {7,5,6,4,-5} and μ = {7,5,6,4,-5,-9,1,8}, find A ∩ A'
  • {-1}
  • {5,0}
  • {}
  • {4}
  • {2}
Question 3
3.
Which of the following are true with respect to set operations?
a)
Intersection distributes over union
b)
Intersection is associative
c)
Union distributes over intersection
d)
Intersection is not associative
e)
Union does not distribute over intersection
  • {d,a}
  • {d,e,c}
  • {d,a,b}
  • {a,b,c}
  • {e,b}
Question 4
4.
Which of the following is 'does not belongs to' symbol?
Question 5
5.
    • Which of the following is the power set of A =
    • {7,4,9}
    • ?
  • {7,9,4,6}
  • {
    {}
    {4}
    {7,4}
    {7,9}
    {4,9}
    {7,4,9}
    }
  • {
    {}
    {7}
    {4}
    {7,4}
    {7,9}
    {4,9}
    {7,4,9}
    }
  • {
    {}
    {7}
    {4}
    {9}
    {7,4}
    {7,9}
    {4,9}
    {7,4,9}
    }
Question 6
6.
If μ = {-7,15,1,10,-9,17,12,-6,11,2,9,-4,-5,8,-8,-2,0,18,16,14,4,-3,5,7},A = {-7,15,1,10,-9,17,12,-6,11}, B = {2,9,-7,-4,-5,8,-8,1,-2}, C = {2,0,-6,10,8,17,-5,-7,-9}, find (C ∪ A)'
  • {-3,4,14,9,16,-2,18,-4,5,-8,-6}
  • {-3,4,14,9,16,7,18,-4,5,-8}
  • {-3,4,14,9,16,7,-2,18,-4,5,-8,-6}
  • {-3,4,14,9,16,-2,18,-4,5,-8}
  • {-3,4,14,9,16,7,-2,18,-4,5,-8}
Question 7
7.
Which of the following is 'universal set' symbol?
  • μ
Question 8
8.
If μ = {-2,1,-4,-3,-8,10,-5,-1,-6,9,4,0,3,12,-7,6,-9,11,2},A = {-2,1,-4,-3,-8,10,-5}, B = {-1,-6,9,4,-5,-4,0}, C = {3,-6,4,-3,-8,1,-5}, find C ∩ A
  • {1,-8,-5}
  • {1,-8,-5,12}
  • {1,-8,-3,-5}
  • {1,-8,-3}
  • {1,-8,-3,-5,12}
Question 9
9.
If μ = {10,-5,11,-3,-9,5,0,4,7,-4,12,-2,3,1,8,-1,2,9,6},A = {10,-5,11,-3,-9,5}, B = {-3,11,0,4,-9,7,5,-5,-4,10}, C = {12,-2,0,-3,3,5}, find B'
  • {2,-1,12,9,1,8,3,-2,6}
  • {2,-1,9,1,8,3,-2,6,-5}
  • {2,-1,12,9,1,8,3,-2,6,-5}
  • {2,-1,9,1,8,3,-2,6}
  • {2,-1,12,9,1,3,-2,6,0}
Question 10
10.
Which of the following is 'not a superset' symbol?