ICSE Board Practice

ICSE Grade VIII - Sets
Question 1
1.
Which of the following is a null set?
  • {-2,1,8,2,4}
  • {}
  • {-3,1,5}
  • {0,4}
  • {-5,9,-3,-2}
Question 2
2.
If μ = {-2,-1,8,16,10,5,-6,11,7,-4,2,-9,0,15,17,3,14,6,-5,13,-8,9,12,-7,4},A = {-2,-1,8,16,10,5,-6,11,7,-4}, B = {7,2,-9,0,16,15,17,3,14,10}, C = {10,16,6,11,2,-4}, find C − (A ∩ (B ∩ C))
  • {2,6,-4,8}
  • {6,-4,11,15}
  • {2,6,-4,11}
  • {6,-4,11}
  • {2,6,-4,11,15}
Question 3
3.
If A = {7,1,4} , B = {11,4,15} and C = {2,1,7,12} , then B ∪ (C ∪ A) =
  • {7,12,4,2,11,15,1}
  • {11,17,1,2,4,15,7,12}
  • {7,4,2,15,1,11}
  • {12,2,4,15,1,7}
  • {}
Question 4
4.
If A = {2,0,9,10,7,15,3,6} , B = {12,11,15,2,0,9,14,8} and C = {14,11,0,13,7,2,4,1}, then A ∩ (B ∩ C) =
  • {0,12,2}
  • {0,2,6}
  • {2,16,0}
  • {4,0,2}
  • {2,0}
Question 5
5.
If μ = {4,-9,7,-6,3,6,-4,-8,-2,-3,-5,0,8}, A = {4,-9,7,-6} and B = {3,6,-4,7,4,-8}, find n(A' ∪ B')
  • 10
  • 11
  • 14
  • 12
  • 9
Question 6
6.
If μ = {10,7,-7,18,17,-5,1,-4,12,-8,15,16,5,6,-2,2,-6,13,14,0,11,-1,3,-3,-9,9},A = {10,7,-7,18,17,-5,1,-4,12}, B = {-8,15,16,-7,5,6,-2,18}, C = {6,2,12,5,15,-7,17,-6,13,14}, find (C ∪ A)'
  • {-8,-3,-1,-9,0,9,-2,16,3,-5}
  • {-8,-3,-1,-9,11,0,9,-2,16,3}
  • {-8,-1,-9,11,0,9,-2,16,3}
  • {-8,-3,-1,-9,0,9,-2,16,3}
  • {-8,-3,-1,-9,11,0,9,-2,16,3,-5}
Question 7
7.
If μ = {-2,-1,1,-4,-8,4,2,-9,6,-6,8,5,0,7,-5,-7}, A = {-2,-1,1,-4,-8,4,2} and B = {-8,-9,-4,6,-6}, find (A ∪ B)'
  • {}
  • {-5,7,5,8,-7,0}
  • {8,-7,0,5,7}
Question 8
8.
Which of the following are disjoint sets?
      • {}
      • ,
      • {12,5,8,14,7}
      • {12,5,8,14,7}
      • ,
      • {12,5,8,14,7}
      • {12,5,8,14,7}
      • ,
      • {}
      • {8,14,7}
      • ,
      • {17,11,1}
      • {12,5,8,14,7}
      • ,
      • {17,12,11,1,5,7}
Question 9
9.
Which of the following is 'minus' symbol?
Question 10
10.
Find the cardinality of A = {-3,5,2,-2,8,-7}
  • 7
  • 5
  • 6
  • 3
  • 9