ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VIII - Relations and Mapping
Question 1
1.
    • If A =
    • {10,8,3,4}
    • and B =
    • {9,7,5}
    • , find
    • A ✕ B
  • {(10,9),(10,7),(10,5),(8,9),(8,7),(8,5),(3,9),(3,7),(3,5),(4,9),(4,7),(4,5)}
  • {(10,9),(10,7),(10,5),(8,9),(8,7),(3,9),(3,7),(3,5),(4,9),(4,7),(4,5),(6,7)}
  • {(10,9),(10,7),(10,5),(8,9),(8,5),(3,9),(3,7),(3,5),(4,9),(4,7),(4,5),(7,8)}
  • {(10,9),(10,7),(10,5),(8,9),(8,7),(8,5),(3,9),(3,7),(3,5),(4,9),(4,7),(4,5),(7,8)}
  • {(10,9),(10,7),(10,5),(8,9),(8,7),(8,5),(3,7),(3,5),(4,9),(4,7),(4,5)}
Question 2
2.
    • Which of the following relations is a function given ,
    • A =
    • {7,2,5,3,10,9}
    • and B =
    • {2,10,5,8,7,6}
    • ?
  • {(7,6),(2,6),(5,2),(10,2),(9,8),(8,2)}
  • {(7,6),(2,6),(3,7),(10,2),(9,8),(2,5)}
  • {(7,6),(2,6),(5,2),(3,7),(10,2),(9,8)}
  • {(7,6),(2,6),(5,2),(3,7),(10,2),(9,8),(2,5)}
  • {(7,6),(2,6),(5,2),(10,2),(9,8)}
Question 3
3.
    • Find the range of given relation diagram.
  • {2,6,9,10,4}
  • {5,8,3,1,10}
  • {6,4,9}
  • {1,3,8,5}
  • {2,6,9,10,4,5}
Question 4
4.
    • Let
    • f
      :
      R
      →
      R
    • be a function defined by given conditions
    • f
      (
      x
      )
    • =
    • (
      6
      x
      +
      6
      		)
    • if
    • x
      <
      2
    • f
      (
      x
      )
    • =
    • (
      5
      x
      +
      6
      		)
    • if
    • 2
      ≤
      x
      ≤
      9
    • f
      (
      x
      )
    • =
    • (
      9
      x
      +
      3
      		)
    • if
    • x
      >
      9
    • find
    • f
      (
      x
      )
    • where x =
    • 14
  • 129
  • 90
  • 130
  • 76
  • 128
Question 5
5.
    • Find the domain in the given roster form,
    • where R =
    • {(5,8),(9,3),(7,3),(9,4),(2,3)}
  • {2,5,7}
  • {3,4,8}
  • {2,5,7,9,8}
  • {5,9,7,2}
  • {5,9,7,2,8}
Question 6
6.
    • Find the domain and range of the given relation
    • R
      :
      A
      →
      B
    • =
    • {(10,3),(10,10),(10,8),(10,4),(2,3),(2,10),(2,8),(2,4)}
  • A = {7,2,8} , B ={4,3,7,6,8}
  • A = {23,7} , B ={-10,3,8,17}
  • A = {2,8} , B ={4,8,3,10}
  • A = {14,2} , B ={3,4,10,14}
  • A = {10,2} , B = {3,10,8,4}
Question 7
7.
    • Find the range of
    • f
      :
      Z
      →
      Z
    • where
    • f
      (
      x
      )
    • =
    • (
      6
      x
      2
       
      +
      5
      x
      +
      1
      		)
    • and domain of
    • f
    • is
    • {x : -3 ≤ x ≤ 1}
  • {40,15,2,12}
  • {40,15,2,1,12}
  • {40,15,2,1,10}
  • {15,2,1,12,39}
  • {40,15,1,12,4}
Question 8
8.
    • If (
    • (
      8
      x
      +
      9
      y
      +
      9
      		)
    • ,
    		•
      4
    • ) = (
    		•
      4
    • ,
    • (
      2
      x
      +
      5
      y
      +
      6
      		)
    • ) then find (x,y)
  • (
    (
    -5
    22
    		 )
    ,
    (
    -3
    11
    		 )
    )
  • (
    (
    -3
    11
    		 )
    ,
    (
    -7
    22
    		 )
    )
  • (
    (
    -7
    22
    		 )
    ,
    (
    -1
    3
    		 )
    )
  • (
    (
    -7
    22
    		 )
    ,
    (
    -3
    11
    		 )
    )
  • (
    (
    -7
    24
    		 )
    ,
    (
    -3
    13
    		 )
    )
Question 9
9.
    • If A =
    • {6,5,10,9,4}
    • and B =
    • {3,7,6,2,5,9}
    • ,
    • then the relation
    • R
      :
      A
      →
      B
    • such that
    • a ∈ A
    • is equal of
    • b ∈ B
    • is
  • {(6,6),(5,5),(9,9),(3,3)}
  • {(6,6),(5,5),(10,8)}
  • {(6,6),(5,5),(9,9)}
  • {(6,6),(5,5),(9,9),(4,4)}
  • {(6,6),(9,9)}
Question 10
10.
    • Which of the following does not represent a function
    • f
      :
      A
      →
      B
    • ,
    • where A =
    • {2,3,5,1,7,10}
    • and B =
    • {8,9,6,4}
    • ?
  • {(7,6),(2,9),(5,9),(1,8),(3,6),(10,4)}
  • {(5,9),(7,8),(1,6),(3,8),(7,9),(1,8)}
  • {(5,9),(3,6),(1,6),(10,6),(7,6),(2,8)}
  • {(1,8),(2,6),(10,8),(7,4),(5,9),(3,6)}
  • {(1,6),(7,6),(3,6),(5,9),(10,6),(2,4)}