ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VII - Sets
Question 1
1.
Given sets A, B and C, where A ⊂ B ⊂ C, which of the following are true?
a)
C ⊂ A
b)
∅ ⊂ B
c)
B ⊃ A
d)
C ⊃ B
e)
B ⊂ A
  • {a,b}
  • {a,b,c}
  • {b,c,d}
  • {a,e,d}
  • {e,c}
Question 2
2.
If μ = {-1,4,5,-9,3,2,8,9,0,-8,-7,-5,-6,7}, A = {-1,4,5,-9,3,2,8} and B = {9,-9,-1}, find n(B')
  • 12
  • 10
  • 11
  • 8
  • 13
Question 3
3.
Which of the following is 'null set' symbol?
  • ∩
  • ∅
  • ∈
  • ⊄
  • ⊇
Question 4
4.
Which of the following is 'subset or equal to' symbol?
  • ⊇
  • ⊅
  • ∪
  • ⊆
  • ↔
Question 5
5.
If μ = {-5,6,-4,-2,0,4,7,-7,-9,9,1,-1,-3}, A = {-5,6,-4,-2,0} and B = {4,6,7,-5,-4}, find n(A' ∪ B')
  • 9
  • 10
  • 13
  • 11
  • 7
Question 6
6.
What is the cardinality of an empty set?
  • 5
  • 0
  • 1
  • 4
  • 2
Question 7
7.
Which of the following elements does not belong to the set {8,1,3,5,9}?
  • 9
  • 1
  • 7
  • 3
  • 5
Question 8
8.
If A = {11,14,3,4,7,9,0,8} , B = {1,2,15,14,12,11,9,5} and C = {6,10,0,12,15,9,1,13}, then B ∩ (C ∩ A) =
  • {10,9}
  • {9}
  • {9,18}
  • {9,5}
  • {9,4}
Question 9
9.
If A ⊂ B, then which of the following are true?
a)
A ∪ B = ∅
b)
A ∩ B = B
c)
A ∪ B = A
d)
A ∪ B = B
e)
A ∩ B = A
  • {b,e,d}
  • {d,e}
  • {c,a,d}
  • {b,e}
  • {a,d}
Question 10
10.
If μ = {-4,3,-8,9,-7,-3,-9,-2}, A = {-4,3,-8} and B = {9,-7,-3}, find A
  • {}
  • {-4,-8,3}
  • {3,-8}
  • {-9,3,-8,-4}
  • {-2,3,-4}