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
      2
       
      +
      5
      x
      −
      7
      		)
    • and domain of
    • f
    • is
    • {x : 4 ≤ x ≤ 8}
  • {109,239,322,417,169}
  • {109,168,239,322,417}
  • {168,239,322,417,108}
  • {109,168,322,417,241}
  • {109,168,239,322,415}
Question 2
2.
    • Which of the following relations is a function
    • f
      :
      A
      →
      B
    • ,
    • where A =
    • {h,i,m,k}
    • and B =
    • {f,l,d,n,b}
    • ?
  • {}
  • {(m,n),(h,d),(k,b)}
  • {(m,n),(i,n),(k,b),(d,h)}
  • {(m,n),(h,d),(i,n),(k,b),(d,h)}
  • {(m,n),(h,d),(i,n),(k,b)}
Question 3
3.
    • Find the range of
    • f
      :
      Z
      →
      Z
    • where
    • f
      (
      x
      )
    • =
    • (
      x
      +
      5
      		)
    • and domain of
    •   
      f
        
    • is
    • {x : 1 ≤ x ≤ 5}
  • {7,8,9,10,5}
  • {6,7,8,9,10}
  • {6,8,9,10,5}
  • {6,7,8,10,11}
  • {6,7,9,10}
Question 4
4.
    • If A =
    • {4,6,7,5,3,10}
    • and B =
    • {3,10,5,8,6,4}
    • ,
    • then the relation
    • R
      :
      A
      →
      B
    • such that
    • a ∈ A
    • is equal of
    • b ∈ B
    • is
  • {(6,6),(5,5),(3,3),(4,4),(10,10),(8,8)}
  • {(6,6),(5,5),(4,4),(10,10),(4,2)}
  • {(6,6),(5,5),(4,4),(10,10)}
  • {(6,6),(5,5),(3,3),(4,4),(10,10)}
  • {(6,6),(5,5),(3,3),(4,4),(10,10),(7,7)}
Question 5
5.
    • If
    • f
      :
      A
      →
      B
    • is defined by
    • f
      (
      x
      )
      =
      (
      5
      x
      +
      7
      		)
    • and A =
    • {8,5,3,9}
    • ,
    • find the range
  • {52,32,1,22,11,47}
  • {47,32,22,52}
  • {22,52,47}
  • {69,34,47,15}
  • {53,22,32,47}
Question 6
6.
    • Let
    • f
      :
      R
      →
      R
    • be a function defined by given conditions
    • f
      (
      x
      )
    • =
    • (
      9
      x
      +
      3
      		)
    • if
    • x
      <
      -4
    • f
      (
      x
      )
    • =
    • (
      2
      x
      +
      8
      		)
    • if
    • -4
      ≤
      x
      ≤
      9
    • f
      (
      x
      )
    • =
    • (
      6
      x
      +
      9
      		)
    • if
    • x
      >
      9
    • find
    • f
      (
      x
      )
    • where x =
    • 9
  • 26
  • 25
  • 27
  • 84
  • 63
Question 7
7.
    • If
    • f
      (
      t
      )
    • =
    • (
      6
      t
      2
       
      +
      4
      t
      +
      2
      		)
    • then find
    • f
      (
      8
      x
      +
      1
      )
  • (
    386
    x
    2
     
    +
    128
    x
    +
    12
    		)
  • (
    385
    x
    2
     
    +
    128
    x
    +
    12
    		)
  • (
    384
    x
    2
     
    +
    128
    x
    +
    12
    		)
  • (
    382
    x
    2
     
    +
    128
    x
    +
    12
    		)
  • (
    383
    x
    2
     
    +
    128
    x
    +
    12
    		)
Question 8
8.
    • If A =
    • {32,36,2,4,12}
    • and B =
    • {3,8,9}
    • ,
    • then the relation
    • R
      :
      A
      →
      B
    • such that
    • a ∈ A
    • is a multiple of
    • b ∈ B
    • is
  • {(32,8),(36,9),(12,3),(3,36)}
  • {(32,8),(36,3),(12,3)}
  • {(32,8),(36,3),(12,3),(10,35)}
  • {(32,8),(36,3),(36,9),(12,3),(3,36)}
  • {(32,8),(36,3),(36,9),(12,3)}
Question 9
9.
    • If A =
    • {j,n,a,e,i}
    • and B =
    • {h,b,r,k,m}
    • ,
    • which of the following is relation
    • R
      :
      B
      →
      A
    • ?
  • {(h,a),(h,i),(m,e),(r,i),(r,j)}
  • {(j,h),(e,r),(j,m),(n,k),(i,k)}
  • {(a,q),(e,q),(e,d),(a,d),(n,q)}
  • {(m,q),(h,d),(r,d),(m,d),(k,d)}
  • {(d,j),(q,i),(d,e),(q,n),(q,a)}
Question 10
10.
    • 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,b}
  • {a,c,b}
  • {b,c}
  • {a,d,b}
  • {d,c}