ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VIII - Relations and Mapping
Question 1
1.
If n(A) = 3 and n(B) = 1 then the number of possible relations from A → B is
  • 8
  • 6
  • 5
  • 7
  • 10
Question 2
2.
    • Find the domain of the given relation.
  • {10,6,2,9}
  • {10,2,6}
  • {4,3,7,8}
  • {10,6,2,9,4}
  • {10,2,6,8}
Question 3
3.
    • Let
    • f
      :
      R
      →
      R
    • be a function defined by given conditions
    • f
      (
      x
      )
    • =
    • (
      5
      x
      +
      4
      		)
    • if
    • x
      <
      -4
    • f
      (
      x
      )
    • =
    • (
      5
      x
      +
      2
      		)
    • if
    • -4
      ≤
      x
      ≤
      -3
    • f
      (
      x
      )
    • =
    • (
      6
      x
      +
      2
      		)
    • if
    • x
      >
      -3
    • find
    • f
      (
      x
      )
    • where x =
    • -2
  • -10
  • -6
  • -8
  • -9
  • -11
Question 4
4.
    • If
    • f
      (
      x
      )
      =
      (
      7
      x
      +
      1
      		)
    • , then find
    • f
      (
      8
      )
  • 60
  • 55
  • 58
  • 57
  • 56
Question 5
5.
    • If A =
    • {8,3,5,7}
    • and B =
    • {10,6,2}
    • ,
    • then the relation
    • R
      :
      A
      →
      B
    • such that
    • a ∈ A
    • is less than
    • b ∈ B
    • is
  • {(8,10),(3,10),(3,6),(5,6),(7,10)}
  • {(8,10),(3,10),(3,6),(5,10),(5,6),(7,10),(6,3)}
  • {(8,10),(3,10),(5,10),(5,6),(7,10),(6,3)}
  • {(8,10),(3,10),(3,6),(5,6),(7,10),(11,4)}
  • {(8,10),(3,10),(3,6),(5,10),(5,6),(7,10)}
Question 6
6.
    • Which of the following does not represent a function
    • f
      :
      A
      →
      B
    • ,
    • where A =
    • {7,4,5,3,9}
    • and B =
    • {2,1,8,6,10}
    • ?
  • {(4,1),(3,2),(9,6),(7,8),(5,1)}
  • {(4,2),(9,10),(3,2),(3,8),(7,2)}
  • {(4,8),(3,1),(7,6),(5,6),(9,2)}
  • {(7,2),(4,2),(9,6),(5,8),(3,1)}
  • {(5,10),(7,8),(4,10),(3,10),(9,6)}
Question 7
7.
    • Find the range of
    • f
      :
      Z
      →
      Z
    • where
    • f
      (
      x
      )
    • =
    • (
      x
      2
       
      +
      6
      x
      −
      9
      		)
    • and domain of
    • f
    • is
    • {x : -5 ≤ x ≤ -1}
  • {-14,-17,-18}
  • {-14,-18,-16}
  • {-14,-18,-19}
  • {-17,-18,-12}
  • {-14,-17,-19}
Question 8
8.
    • If A =
    • {c,l,d,n}
    • and B =
    • {k,s,r,q}
    • ,
    • which of the following is relation
    • R
      :
      B
      →
      A
    • ?
  • {(d,q),(d,r),(l,q),(l,k),(n,q)}
  • {(r,c),(r,l),(r,d),(s,n),(q,l)}
  • {(b,l),(e,d),(o,d),(a,l),(o,l)}
  • {(r,b),(q,b),(k,b),(q,a),(q,o)}
  • {(d,b),(n,b),(d,o),(l,o),(c,b)}
Question 9
9.
    • If A =
    • {3,4,10,2}
    • and B =
    • {6,8,7}
    • , find
    • A ✕ B
  • {(3,6),(3,8),(3,7),(4,6),(4,7),(10,6),(10,8),(10,7),(2,6),(2,8),(2,7),(8,4)}
  • {(3,6),(3,8),(3,7),(4,6),(4,8),(4,7),(10,6),(10,8),(10,7),(2,6),(2,8),(2,7),(8,4)}
  • {(3,6),(3,8),(3,7),(4,6),(4,8),(10,6),(10,8),(10,7),(2,6),(2,8),(2,7),(8,3)}
  • {(3,6),(3,8),(3,7),(4,6),(4,8),(4,7),(10,6),(10,8),(10,7),(2,6),(2,8),(2,7)}
  • {(3,6),(3,8),(3,7),(4,6),(4,8),(4,7),(10,8),(10,7),(2,6),(2,8),(2,7)}
Question 10
10.
    • Which of the following does not represent a function
    • f
      :
      A
      →
      B
    • ,
    • where A =
    • {7,8,4,9,10}
    • and B =
    • {6,3,5,2,1}
    • ?
  • {(8,6),(7,3),(4,6),(10,5),(9,1)}
  • {(9,6),(8,5),(7,1),(4,2)}
  • {(8,1),(9,6),(7,1),(10,5),(4,2)}
  • {(4,2),(10,6),(7,6),(8,3),(9,1)}
  • {(7,2),(8,3),(4,5),(10,5),(9,6)}