ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VIII - Sets
Question 1
1.
If A = {13,2,4,12,6} and B = {10,13,15,3,0} , then A ∪ B =
  • {4,3,12,10,15,0,2,6}
  • {15,3,12,10,2,13,4,20,6,0}
  • {3,15,2,6,0,4,12,10,13}
  • {3,4,13,6,15,2,12,10}
  • {15,6,16,12,0,4,3,13,10}
Question 2
2.
Which of the following is a subset of set A = {1,9,7,4,-5}?
  • {∅}
  • μ
  • ∅
  • {7,1,9,4,2}
  • {7,9,-8,1,4,-5}
Question 3
3.
If μ = {4,7,-9,-2,1,5,3,0,2,-7,6,-8}, A = {4,7,-9,-2} and B = {1,5,4,3,0}, find n((B − A)')
  • 6
  • 7
  • 8
  • 9
  • 11
Question 4
4.
    • Given 5 sets A =
    • {8,1,5,9}
    • , B =
    • {1,8,9,5}
    • ,
    • C =
    • {4,1,5,8,6,10,9}
    • ,
    • D =
    • {11,14,19,17,15,12,16}
    • and E =
    • {8,9,1,2,5,6,7,10,3,4}
    • ,
    • which of the following are true?
a)
A ↔ C
b)
C = D
c)
A = B
d)
C ↔ D
e)
A ⊂ C
  • {a,c,d}
  • {b,d}
  • {a,c}
  • {a,b,e}
  • {c,d,e}
Question 5
5.
If A = {14,3,9,6,15,5} and B = {7,15,12,4,10,5} , then A − B =
  • {3,9,6}
  • {6,3,9,17,14}
  • {6,15,3,9,14}
  • {14,9,6,3}
  • {10,12,4,7}
Question 6
6.
If μ = {9,12,4,0,-3,3,-4,-6,1,14,-9,16,17,-5,-2,11,6,2,10,15,5},A = {9,12,4,0,-3,3,-4,-6,1,14}, B = {-9,16,17,1,0,-3,9,-6,-4,-5}, C = {-2,11,4,6,2,3}, find B ∪ (C ∩ A)
  • {16,-6,-5,3,-9,-3,0,1,9,-4,4,17}
  • {16,-6,-5,3,-9,0,1,9,-4,4,17}
  • {16,-6,-5,3,-9,-3,0,1,9,-4,4}
  • {16,-6,-5,3,-9,-3,0,1,9,-4,4,17,15}
  • {16,-6,-5,3,-9,0,1,9,-4,4,17,15}
Question 7
7.
If μ = {-2,-9,5,8,-6,4,10,6,14,-7,13,-3,11,-4,-1,1,0,2,12,-8,7},A = {-2,-9,5,8,-6,4,10,6,14,-7}, B = {13,-3,10,11,-4,-1,1}, C = {10,-1,-2,-3,11,0}, find C − (A ∩ B)
  • {-1,0,-3,-2}
  • {11,-1,0,-2,-4}
  • {11,-1,0,-3,-2}
  • {11,-1,0,-2}
  • {11,-1,0,-3,-2,-4}
Question 8
8.
Find the number of subsets of A = {4,2,3,0,1}
  • 30
  • 32
  • 34
  • 31
  • 33
Question 9
9.
If μ = {5,2,-2,-3,-9,-4,-8,4,0,-1,-7,1,6,9,3}, A = {5,2,-2,-3,-9,-4} and B = {-9,2,-8,4,0}, find n((A ∩ B)')
  • 13
  • 10
  • 14
  • 12
  • 16
Question 10
10.
Which of the following are true with respect to set operations?
a)
Union is associative
b)
Intersection is commutative
c)
Union is commutative
d)
Intersection is not commutative
e)
Union is not commutative
  • {d,a}
  • {d,e,c}
  • {e,b}
  • {d,a,b}
  • {a,b,c}