ICSE Board Practice

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