ICSE Board Practice

ICSE Grade VII - Sets
Question 1
1.
If μ = {7,0,4,5,-9,3,2,-1}, A = {7,0,4} and B = {5,-9,0}, find (B − A)'
  • {}
  • {2,-1,3,0,4}
  • {2,-1,7,3,4}
  • {7,3,2,-1,4,0}
Question 2
2.
Which of the following is an empty set?
  • {0}
  • {empty}
  • {o}
  • {∅}
  • {}
Question 3
3.
If A = {5,14,2,10,15,11,12} , B = {3,11,9,4,2,6,1} and C = {6,14,3,7,15,11,13}, then B ∩ (C ∩ A) =
  • {4,11}
  • {11,13}
  • {10,11}
  • {16,11}
  • {11}
Question 4
4.
For any two non-empty sets A and B, which of the following are true?
a)
A ∩ B = B ∩ A
b)
A ∪ B = B ∩ A
c)
A ∪ B = B ∪ A
d)
A ∩ B = B ∪ A
e)
A ∪ B = ∅
  • {d,c}
  • {e,b,a}
  • {d,c,a}
  • {b,a}
  • {a,c}
Question 5
5.
If μ = {-8,6,5,8,-7,2,-3,-4,4,3,0,-2,7,-5,-1,9,1}, A = {-8,6,5,8,-7,2} and B = {6,5,-3,-4,4,3,0}, find ( (A − B) ∪ (B − A) )'
  • {}
  • {5,9,-1,-2,7,1,-5}
  • {-5,7,-2,-1,1,9,6,5}
  • {1,-2,-1,-5,7,9,6}
Question 6
6.
Which of the following is 'not a subset' symbol?
Question 7
7.
If A = {-2,1,-7,-3} and μ = {-2,1,-7,-3,-6,3,-1}, find A ∩ A'
  • {}
  • {3}
  • {1}
  • {5,4}
  • {0}
Question 8
8.
If A = {5,1,2,12,4,3} , B = {7,13,8,6,9,15} and C = {0,6,11,10,14}, then C ∩ (A ∩ B) =
  • {2}
  • {8}
  • {16}
  • {0}
  • {}
Question 9
9.
If μ = {-4,9,8,1,7,3,-3,-6,5,-9,4,-2,6,0,2}, A = {-4,9,8,1,7,3,-3} and B = {-6,5,-4,-3}, find B − A
  • {}
  • {6,5,-6}
  • {5}
  • {-6,5}
  • {-6,0}
Question 10
10.
If A = {5,3,0} and μ = {5,3,0,9,-2}, find A ∪ ∅
  • {3,4,5}
  • {8,6,-5}
  • {0,3,5}
  • {3,0}
  • {3,2,0,5,4}