ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VIII - Sets
Question 1
1.
If μ = {8,6,-8,-5,1,-6,-7,-2,9,-3,-1}, A = {8,6,-8} and B = {-5,1,-6,-7,-2,9}, find B − A
  • {9,-6,1,-7,-1,-5}
  • {}
  • {-6,-2,-7,9,1,-5}
  • {9,-6,-7,-2,-1,1,-5}
  • {-2,-7,1,-5,-6}
Question 2
2.
If A ⊂ B, then which of the following are true?
a)
B ⊃ A
b)
A' = B
c)
A = B
d)
A' ⊂ B
e)
B ⊂ A
  • {a}
  • {c,a}
  • {d,e,a}
  • {b,a}
Question 3
3.
If A = {2,7,12,15,10,6,8,3} , B = {12,6,15,0,13,5,11} and C = {9,7,10,14,8,4,6}, then C ∩ (A ∩ B) =
  • {5,6}
  • {2,6}
  • {20,6}
  • {6}
  • {9,6}
Question 4
4.
If A = {k,l,e,q,p}, which of the following are true?
a)
    • e
    • ∈
    • A
b)
    • e
    • ∉
    • A
c)
    • A
    • ⊃
    • e
d)
    • {l}
    • ⊂
    • A
e)
    • e
    • ⊂
    • A
  • {b,a}
  • {a,d}
  • {c,d}
  • {e,b,a}
  • {c,d,a}
Question 5
5.
If A = {6,8,1,11} , B = {4,9,12} and C = {7,0,3} , then C ∪ (A ∪ B) =
  • {8,0,1,7,12,9,6,11,4}
  • {6,7,3,9,11,12,4,0,8}
  • {6,1,7,3,4,0,8,11,9}
  • {9,6,8,0,1,3,12,4,16,11,7}
  • {11,6,9,0,3,4,1,8,12,7}
Question 6
6.
    • Given 5 sets A =
    • {4,3,7,10}
    • , B =
    • {3,4,7,10}
    • ,
    • C =
    • {1,7,10,2,4,5,3}
    • ,
    • D =
    • {18,16,17,11,12,14,15}
    • and E =
    • {10,1,9,3,5,8,4,7,2,6}
    • ,
    • which of the following are true?
a)
A = B
b)
C ↔ D
c)
A ↔ C
d)
A ⊂ C
e)
C = D
  • {c,a}
  • {c,e,d}
  • {a,b,d}
  • {e,b}
  • {c,a,b}
Question 7
7.
Which of the following is an empty set?
  • {∅}
  • {0}
  • {o}
  • {empty}
  • {}
Question 8
8.
If μ = {-1,-8,4,-2,-4,7,12,2,0,-3,1,6,-6,10,3,9,8,11,-7,-5},A = {-1,-8,4,-2,-4,7,12,2}, B = {0,-8,-3,2,-2,1}, C = {6,1,4,-6,0,10,3}, find (A ∪ B ∪ C)'
  • {11,9,8,-7,-5}
  • {11,9,8,-7,-2}
  • {9,8,-7,-5}
  • {11,9,8,-7}
  • {11,9,8,-7,-5,-2}
Question 9
9.
If μ = {4,-4,0,6,-8,3,8,-6,-5,-1,-9}, A = {4,-4,0,6,-8} and B = {3,8,-4}, find n((A ∪ B) − (A ∩ B))
  • 4
  • 6
  • 5
  • 9
  • 7
Question 10
10.
Which of the following is 'union' symbol?
  • ∪
  • ↔
  • ∩
  • ⊂
  • ⊅