ICSE Board Practice

ICSE Grade VIII - Sets
Question 1
1.
If μ = {6,4,-7,-9,8,1,9,2,-6,-2,0,-4,7,10,3,-5,5}, A = {6,4,-7,-9,8,1,9} and B = {4,9,2,-6,6,-7,-2}, find n(B)
  • 7
  • 8
  • 5
  • 10
  • 6
Question 2
2.
Which of the following is not a subset of A = {0,1,5,2,6}?
  • {2,0,1,7}
  • {0,1,5,2,6}
  • {5,1,0,2}
  • {0,5,2}
  • {6,2,0,1}
Question 3
3.
If μ = {-9,0,9,2,-1,-5,-6,8,-4,10,7,-3,-8,3,13,6,12,5,-2,15,11,-7},A = {-9,0,9,2,-1,-5,-6,8}, B = {-4,-5,-6,10,-9,7,-3,-8,3,13}, C = {6,9,12,-4,5,-2}, find C ∩ A
  • {-1}
  • {9}
  • {7}
  • {9,7}
  • {}
Question 4
4.
Which of the following is a singleton set?
  • {1,-8,5,9,2}
  • {-9,-3}
  • {-5,3,0,-6}
  • {3,7,1}
  • {7}
Question 5
5.
Which of the following is 'subset' symbol?
Question 6
6.
    • Given 5 sets A =
    • {6,10,7,1}
    • , B =
    • {1,6,10,7}
    • ,
    • C =
    • {4,10,6,5,3,8,7}
    • ,
    • D =
    • {11,16,17,18,12,14,13}
    • and E =
    • {4,1,10,7,5,9,8,3,2}
    • ,
    • which of the following are true?
a)
C = D
b)
A = B
c)
C ↔ D
d)
A ↔ C
e)
A ⊂ C
  • {a,b}
  • {e,a,b}
  • {b,c}
  • {d,c,b}
  • {d,c}
Question 7
7.
If μ = {3,9,-5,0,-6,-9,-8,6,-4,8,1,-1,7,-3}, A = {3,9,-5,0,-6,-9,-8} and B = {6,-4,8}, find (A ∩ B)'
  • {1,6,-9,-6,3,7,-5,-1,9,-8,8,-3,0}
  • {}
  • {1,6,-5,-9,-8,-6,9,7,3,8,-1,-3,0,-4}
  • {-9,0,7,1,-3,-4,-8,6,9,8,-5,-6,-1}
Question 8
8.
If μ = {2,-9,-3,-1,-2,-7,-4,0,-5,8,4,1,9,5,7,3}, A = {2,-9,-3,-1,-2,-7} and B = {-4,0,-5,8,4,1}, find A' ∪ B'
  • {-2,8,9,-1,-5,-3,-9,1,0,7,3,5,2,-7,4}
  • {0,3,8,-4,-5,-9,9,5,1,7,-2,-1,-7,4,2,-3}
  • {}
  • {5,-3,-7,4,9,-5,-4,3,1,8,7,0,-2,2,-9}
Question 9
9.
If μ = {3,8,9,-3,2,-6,16,5,7,4,12,-5,11,-2,-8,15,-7,-1,-9,1,10,14},A = {3,8,9,-3,2,-6,16,5}, B = {2,-3,7,4,12,-5,8}, C = {11,9,2,12,-2,-8,-3,8,15,5}, find A ∪ (B ∩ C)
  • {-6,9,2,-3,16,12,5,8,3}
  • {-6,9,2,-3,12,5,8,3}
  • {-6,9,2,-3,16,12,5,3}
  • {-6,9,2,-3,12,5,8,3,15}
  • {-6,9,2,-3,16,12,5,8,3,15}
Question 10
10.
Which of the following is equal to set A = {0,-6,-2,1}?
  • {-7,2,1,3,-8}
  • {0,-6,1,-4}
  • {0,-6,-2,1}
  • {-3,-7,-6}
  • {5,-9,-4,9}