ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VIII - Relations and Mapping
Question 1
1.
    • Find the range of
    • f
      :
      Z
      →
      Z
    • where
    • f
      (
      x
      )
    • =
    • (
      6
      x
      +
      1
      		)
    • and domain of
    •   
      f
        
    • is
    • {x : 0 ≤ x ≤ 4}
  • {1,7,19,25,11}
  • {7,13,19,25,0}
  • {1,7,13,25,21}
  • {1,7,13,19,25}
  • {1,7,13,19,26}
Question 2
2.
    • If A =
    • {4,6,8}
    • and B =
    • {49,36,100,9,64,16}
    • ,
    • then the relation
    • R
      :
      A
      →
      B
    • such that
    • a ∈ A
    • is the square root of
    • b ∈ B
    • is
  • {(4,16),(6,36),(8,64),(36,6)}
  • {(4,16),(8,64)}
  • {(4,16),(8,64),(36,6)}
  • {(4,16),(6,36),(8,64)}
  • {(4,16),(6,36),(65,7)}
Question 3
3.
    • If A =
    • {6,10,2,3}
    • and B =
    • {5,4,8}
    • ,
    • then the relation
    • R
      :
      A
      →
      B
    • such that
    • a ∈ A
    • is less than
    • b ∈ B
    • is
  • {(6,8),(2,5),(2,4),(3,5),(3,4),(3,8),(9,1)}
  • {(6,8),(2,5),(2,4),(2,8),(3,5),(3,4),(3,8),(4,2)}
  • {(6,8),(2,5),(2,4),(3,5),(3,4),(3,8)}
  • {(6,8),(2,5),(2,4),(2,8),(3,5),(3,4),(3,8)}
  • {(6,8),(2,5),(2,8),(3,5),(3,4),(3,8),(4,2)}
Question 4
4.
    • Find the domain and range of the given relation
    • R
      :
      A
      →
      B
    • =
    • {(5,2),(5,10),(5,8),(10,2),(10,10),(10,8)}
  • A = {10,6} , B ={18,10,2}
  • A = {5,10} , B = {2,10,8}
  • A = {5,10,2} , B ={8,7,2,5}
  • A = {10,2} , B ={2,8,5}
  • A = {-1,9} , B ={8,10,-10}
Question 5
5.
    • If A =
    • {2,4,10,8,1,6}
    • and B =
    • {6,3,5,8,9}
    • ,
    • then the relation
    • R
      :
      A
      →
      B
    • such that
    • a ∈ A
    • is equal of
    • b ∈ B
    • is
  • {(8,8)}
  • {(8,8),(7,5)}
  • {(8,8),(6,6),(9,9)}
  • {(8,8),(6,6),(10,10)}
  • {(8,8),(6,6)}
Question 6
6.
If n(A) = 2 and n(B) = 4 then the number of possible relations from A → B is
  • 258
  • 256
  • 253
  • 254
  • 255
Question 7
7.
    • Which of the following does not represent a function
    • f
      :
      A
      →
      B
    • ,
    • where A =
    • {10,6,1,3}
    • and B =
    • {5,7,9,4}
    • ?
  • IV
  • III
  • I
  • II
Question 8
8.
    • Find the range of
    • f
      :
      Z
      →
      Z
    • where
    • f
      (
      x
      )
    • =
    • (
      4
      x
      2
       
      +
      3
      x
      +
      5
      		)
    • and domain of
    • f
    • is
    • {x : -2 ≤ x ≤ 2}
  • {6,5,12,27,17}
  • {15,6,12,27}
  • {15,5,12,27,4}
  • {15,6,5,12,27}
  • {15,6,5,27,11}
Question 9
9.
    • Which of the following statements are true if
    • f
      :
      A
      →
      B
    • and
    • a ∈ A
    • ,
    • b ∈ B
    • ?
a)
    • f
      (
      b
      )
      =
      a
b)
    • f
      (
      a
      )
    • is called the image of
    • a
    • under
    • f
c)
    • f
      (
      a
      )
      =
      b
d)
    • f
      (
      b
      )
    • is called the image of
    • b
    • under
    • f
  • {a,d,b}
  • {a,c,b}
  • {d,c}
  • {b,c}
  • {a,b}
Question 10
10.
    • If A =
    • {4,5,10,7}
    • and B =
    • {6,3,16,28,10,9,8,40}
    • ,
    • then the relation
    • R
      :
      A
      →
      B
    • such that
    • a ∈ A
    • is a factor of
    • b ∈ B
    • is
  • {(4,16),(4,28),(4,8),(4,40),(5,10),(5,40),(10,10),(10,40),(7,28),(40,4)}
  • {(4,16),(4,28),(4,8),(4,40),(5,10),(5,40),(10,10),(10,40),(7,28)}
  • {(4,16),(4,28),(4,8),(4,40),(5,40),(10,10),(10,40),(7,28),(11,4)}
  • {(4,16),(4,28),(4,8),(4,40),(5,40),(10,10),(10,40),(7,28)}
  • {(4,16),(4,28),(4,8),(5,10),(5,40),(10,10),(10,40),(7,28),(40,4)}