ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VIII - Relations and Mapping
Question 1
1.
    • If A =
    • {2,5,6,4,1,10}
    • and B =
    • {9,3,6,10,7,2}
    • ,
    • then the relation
    • R
      :
      A
      →
      B
    • such that
    • a ∈ A
    • is equal of
    • b ∈ B
    • is
  • {(6,6),(2,2),(10,10),(9,9)}
  • {(6,6),(2,2),(11,9)}
  • {(6,6),(2,2),(10,10),(4,4)}
  • {(6,6),(2,2),(10,10)}
  • {(6,6),(10,10)}
Question 2
2.
    • Which of the following relations
    • R
      :
      A
      →
      B
    • represent a function,
    • given A =
    • {10,4,9,8}
    • and B =
    • {6,2,1}
    • ?
  • I
  • II
  • III
  • IV
Question 3
3.
Find the co-domain of given relation diagram.
  • {5,6,3,1}
  • {7,10,1,9,4}
  • {5,6,3}
  • {7,10,1,9,4,3}
  • {4,7,1,10}
Question 4
4.
    • Find the domain and range of the given relation
    • R
      :
      A
      →
      B
    • =
    • {(2,8),(2,2),(2,1),(9,8),(9,2),(9,1)}
  • A = {-8,16} , B ={12,9,8}
  • A = {2,12} , B ={6,8,2}
  • A = {9,3,2} , B ={7,1,3,8}
  • A = {2,9} , B = {8,2,1}
  • A = {2,1} , B ={2,8}
Question 5
5.
    • Which of the following relations is a function given ,
    • A =
    • {8,4,2,6,1,3}
    • and B =
    • {8,6,5,7}
    • ?
  • {(8,6),(4,6),(6,8),(1,7),(3,6),(8,2)}
  • {(8,6),(4,6),(2,8),(1,7),(3,6)}
  • {(8,6),(4,6),(2,8),(1,7),(3,6),(9,5)}
  • {(8,6),(4,6),(2,8),(6,8),(1,7),(3,6),(8,2)}
  • {(8,6),(4,6),(2,8),(6,8),(1,7),(3,6)}
Question 6
6.
    • If A =
    • {10,8,7,5}
    • and B =
    • {21,30,15,32,2,9,4,6}
    • ,
    • then the relation
    • R
      :
      A
      →
      B
    • such that
    • a ∈ A
    • is a factor of
    • b ∈ B
    • is
  • {(10,30),(7,21),(5,30),(5,15),(32,8)}
  • {(10,30),(8,32),(5,30),(5,15),(22,6)}
  • {(10,30),(8,32),(7,21),(5,30),(5,15)}
  • {(10,30),(8,32),(7,21),(5,30),(5,15),(32,8)}
  • {(10,30),(8,32),(5,30),(5,15)}
Question 7
7.
    • Find the range in given roster form,
    • where R =
    • {(4,8),(9,8),(7,3),(5,3),(4,1)}
  • {8,3,1}
  • {9,4,6,5,7}
  • {4,9,7,5,8}
  • {3,1}
  • {3,1,8,9}
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
    • ∈
    • (a,b)
e)
    • (a,b) = (b,a)
  • {a,b}
  • {c,a}
  • {d,b,a}
  • {e,c,a}
  • {d,b}
Question 9
9.
    • If A =
    • {7,16,12,10,27}
    • and B =
    • {9,4,6}
    • ,
    • then the relation
    • R
      :
      A
      →
      B
    • such that
    • a ∈ A
    • is a multiple of
    • b ∈ B
    • is
  • {(16,4),(12,4),(12,6),(27,9),(4,12)}
  • {(16,4),(12,4),(12,6),(27,9)}
  • {(16,4),(12,4),(27,9),(7,11)}
  • {(16,4),(12,4),(27,9)}
  • {(16,4),(12,6),(27,9),(4,12)}
Question 10
10.
    • Which of the following does not represent a function
    • f
      :
      A
      →
      B
    • ,
    • where A =
    • {7,5,1,2}
    • and B =
    • {4,10,3,9}
    • ?
  • II
  • III
  • IV
  • I