ICSE Board Practice

ICSE Grade VIII - Sets
Question 1
1.
If A = {4,15,1,0,6,10} and B = {3,14,15,12,7,10} , then B − A =
  • {14,3,12}
  • {}
  • {3,12,14,7}
  • {12,10,14,3,7}
  • {19,12,3,7,14}
Question 2
2.
Which of the following is a null set?
  • {o}
  • {empty}
  • {∅}
  • {0}
Question 3
3.
Which of the following is a proper subset of A = {3,2,5}?
  • {3,4,2}
  • {3,1}
  • {3,0}
  • {3,2,5}
  • {3,5}
Question 4
4.
If A = {4,14,5,11,0} and B = {5,8,7,0,13} , then B ∪ A =
  • {8,13,5,14,4,17,7,0,11}
  • {8,13,14,4,11,0,7}
  • {5,11,14,0,8,13,4,7}
  • {4,8,7,13,5,11,0}
  • {5,0,14,17,4,8,13,11}
Question 5
5.
If μ = {-6,-1,-2,3,-4,8,-9,-5,7,-7,1,-3,2,-8,9,5,4}, A = {-6,-1,-2,3,-4,8} and B = {-9,-4,-5,7,-7,1,-2}, find B − A
  • {7,-5,-9,-7,1}
  • {7,-9,-3,-5,1,-7}
  • {-9,1,-5,7}
  • {}
  • {4,-7,7,-9,1}
Question 6
6.
If A = {4,2,1} , B = {1,13,4} and C = {8,6,15,14} , then B ∪ (C ∪ A) =
  • {15,1,13,6,8,2,14,4}
  • {13,2,1,14,4,8,15}
  • {6,15,1,14,2,4,8}
  • {1,6,2,4,8,15,17,14,13}
  • {}
Question 7
7.
If A = {c,d,y,t,i}, which of the following are true?
a)
    • y
    • A
b)
    • A
    • y
c)
    • y
    • A
d)
    • {d,t}
    • A
e)
    • y
    • A
  • {e,a,c}
  • {c,d}
  • {a,c}
  • {b,d,c}
  • {b,d}
Question 8
8.
If μ = {-8,12,9,0,11,5,2,17,15,7,8,1,-9,18,-5,-4,-6,4,-1,10,14,3},A = {-8,12,9,0,11,5,2,17,15,7}, B = {8,1,9,-9,0,18,-5,-4}, C = {-4,15,7,1,-8,18,0,8,-6,-9}, find (A ∩ B)'
  • {3,-5,4,5,-8,12,-6,7,14,1,-9,-4,18,15,17,-1,11,10,2,0}
  • {3,-5,4,5,-8,12,-6,7,14,1,-9,-4,18,15,17,-1,11,10,8,2,0}
  • {3,-5,4,5,-8,12,-6,7,14,1,-9,-4,18,15,17,-1,11,10,8,2}
  • {3,-5,4,5,-8,12,-6,7,14,1,-9,-4,15,17,-1,11,10,8,2}
  • {3,-5,4,5,-8,12,-6,7,14,1,-9,-4,18,15,17,-1,11,10,2}
Question 9
9.
If A = {8,5,2} , B = {9,0,8} and C = {8,2,10} , then A ∪ (B ∪ C) =
  • {10,8,0,5,2}
  • {5,9,2,0,8}
  • {2,9,10,0,8}
  • {18,5,8,10,2,0,9}
  • {8,10,5,2,0,9}
Question 10
10.
Given sets A, B and C, where A ⊂ B ⊂ C, which of the following are true?
a)
C ⊂ A
b)
B ⊂ A
c)
C ⊃ B
d)
∅ ⊂ B
e)
B ⊃ A
  • {a,b,e}
  • {a,c,d}
  • {b,d}
  • {c,d,e}
  • {a,c}