ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VII - Sets
Question 1
1.
If μ = {2,-7,-6,-2,7,-1,3,1,-5}, A = {2,-7,-6} and B = {-2,7,-1,3}, find B − A
  • {-2,3,7,-1,-5}
  • {-2,3,-5,-1}
  • {-1,7,3,-2}
  • {}
  • {3,7,-1}
Question 2
2.
    • Which of the following is the power set of A =
    • {1}
    • ?
  • {1,4}
  • {
    {}
    {1}
    {4}
    		 }
  • {
    {1}
    		 }
  • {
    {}
    {1}
    		 }
  • { }
Question 3
3.
If A = {2,6,5,4} and B = {3,6,1,8} , then B ∪ A =
  • {5,2,6,4,1,8}
  • {3,8,1,6,2,4,5}
  • {3,4,8,5,2,11,1}
  • {2,8,4,6,1,14,5,3}
  • {4,5,3,6,1,8}
Question 4
4.
Which of the following is equal to set A = {-4,1,4,8,-2}?
  • {2,-1,3,4}
  • {-5,3,-3,0,-1}
  • {-4,1,4,-2,3}
  • {8,1,-2,4,-4}
  • {9,-8,-9,0,-2,-1}
Question 5
5.
If μ = {-2,0,1,4,-1,8,9,7}, A = {-2,0,1} and B = {-2,4,1}, find n((A − B) ∪ (B − A))
  • 3
  • (-1)
  • 1
  • 4
  • 2
Question 6
6.
Which of the following is a subset of A = {6,0,12,13,14,15}?
  • {11,4,7}
  • {4,15,14,12,13,6}
  • {14,6}
  • {6,14,4}
  • {11,14,6,7}
Question 7
7.
If A = {2,5,3,8} and B = {7,3,9,8} , then A − B =
  • {5,2,14}
  • {7,9}
  • {2}
  • {8,2,5}
  • {5,2}
Question 8
8.
If μ = {-9,8,-4,-6,-7,6,-8,9,5,-1,10,2,-2,0,7,-5,4,3}, A = {-9,8,-4,-6,-7,6,-8} and B = {9,5,-6,-1,8,-7,10}, find ( (A − B) ∪ (B − A) )'
  • {-5,2,3,7,-2,0,-6,4,-7}
  • {}
  • {2,0,-5,7,8,-2,-6,4,3}
  • {-2,3,0,8,-5,-6,7,4,2,-7}
Question 9
9.
If μ = {-6,5,3,4,8,-7,1,9,-3,7,0,-4}, A = {-6,5,3,4} and B = {8,3,-7,1,-6}, find A ∩ B
  • {-6,3,0}
  • {3}
  • {9,-6}
  • {-6,3}
  • {-6}
Question 10
10.
Which of the following are true?
a)
A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)
b)
(A ∩ B) ∩ C = A ∩ (B ∩ C)
c)
A ∩ (B ∪ C) = (A ∪ B) ∩ (A ∪ C)
d)
A ∪ (B ∩ C) = (A ∩ B) ∪ (A ∩ C)
e)
A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)
f)
(A ∪ B) ∪ C = A ∪ (B ∪ C)
  • {c,d,e}
  • {d,b}
  • {a,b,e,f}
  • {c,a}
  • {c,f,a}