ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VII - Relations and Mapping
Question 1
1.
    • If A =
    • {a,n,o,k}
    • and B =
    • {e,i,q,l}
    • ,
    • which of the following is relation
    • R
      :
      A
      →
      B
    • ?
  • {(n,s),(a,s),(n,g),(k,m),(k,s)}
  • {(q,m),(q,g),(l,m),(l,p),(i,m)}
  • {(g,o),(p,a),(s,a),(s,k),(m,a)}
  • {(e,k),(l,a),(l,k),(e,n),(q,n)}
  • {(o,q),(k,i),(k,e),(a,i),(n,e)}
Question 2
2.
    • Find the domain in the given roster form,
    • where R =
    • {(1,9),(1,3),(2,9),(2,3),(5,10)}
  • {5,1}
  • {1,2,5}
  • {9,10,3}
  • {5,2,1,10}
  • {1,2,5,10}
Question 3
3.
    • Which of the following does not represent a function
    • f
      :
      A
      →
      B
    • ,
    • where A =
    • {5,7,8,9,1}
    • and B =
    • {2,3,10,4,6}
    • ?
  • {(8,10),(1,2),(7,6),(5,3)}
  • {(8,3),(7,10),(1,3),(5,4),(9,2)}
  • {(1,6),(9,4),(8,6),(7,4),(5,6)}
  • {(5,2),(9,3),(7,4),(1,3),(8,6)}
  • {(1,3),(7,4),(8,10),(5,2),(9,4)}
Question 4
4.
    • Write the relation
    • R
      :
      A
      →
      B
    • in the given diagram,
    • where A =
    • {7,3,10,2,4}
    • and B =
    • {5,9,8,6}
  • {(10,9),(3,9),(2,8),(10,8),(6,4)}
  • {(10,9),(4,6),(3,9),(2,8),(10,8),(6,4)}
  • {(10,9),(4,6),(2,8),(10,8),(10,2)}
  • {(10,9),(4,6),(2,8),(10,8)}
  • {(10,9),(4,6),(3,9),(2,8),(10,8)}
Question 5
5.
    • Which of the following relations is a function given ,
    • A =
    • {9,2,8,4,7,5}
    • and B =
    • {7,10,1,6}
    • ?
  • {(9,7),(2,1),(8,7),(7,6),(5,10),(2,3)}
  • {(9,7),(2,1),(8,7),(4,1),(7,6),(5,10)}
  • {(9,7),(2,1),(8,7),(7,6),(5,10)}
  • {(9,7),(2,1),(8,7),(4,1),(7,6),(5,10),(7,8)}
  • {(9,7),(2,1),(4,1),(7,6),(5,10),(7,8)}
Question 6
6.
    • Find the range of
    • f
      :
      Z
      →
      Z
    • where
    • f
      (
      x
      )
    • =
    • (
      2
      x
      2
       
      +
      6
      x
      +
      1
      		)
    • and domain of
    • f
    • is
    • {x : 3 ≤ x ≤ 7}
  • {37,57,109,141,80}
  • {37,57,81,109,139}
  • {37,57,81,141,111}
  • {37,57,81,109,141}
  • {37,81,109,141,58}
Question 7
7.
    • Which of the following does not represent a function
    • f
      :
      A
      →
      B
    • ,
    • where A =
    • {3,5,2}
    • and B =
    • {8,4,10,6}
    • ?
  • IV
  • I
  • II
  • III
Question 8
8.
    • If (
    • (
      6
      x
      +
      2
      y
      +
      10
      		)
    • ,
    		•
      2
    • ) = (
    		•
      6
    • ,
    • (
      7
      x
      +
      6
      y
      +
      8
      		)
    • ) then find (x,y)
  • (
    (
    -4
    11
    		 )
    ,
    (
    -4
    11
    		 )
    )
  • (
    (
    -4
    11
    		 )
    ,
    (
    -6
    11
    		 )
    )
  • (
    (
    -6
    11
    		 )
    ,
    (
    -4
    11
    		 )
    )
  • (
    (
    -6
    11
    		 )
    ,
    (
    -4
    9
    		 )
    )
  • (
    (
    -6
    13
    		 )
    ,
    (
    -4
    13
    		 )
    )
Question 9
9.
    • If A =
    • {6,7,10}
    • and B =
    • {25,16,100,9,36,49}
    • ,
    • then the relation
    • R
      :
      A
      →
      B
    • such that
    • a ∈ A
    • is the square root of
    • b ∈ B
    • is
  • {(6,36),(10,100),(49,7)}
  • {(6,36),(7,49),(10,100)}
  • {(6,36),(7,49),(10,100),(49,7)}
  • {(6,36),(10,100)}
  • {(6,36),(7,49),(101,9)}
Question 10
10.
    • If A =
    • {6,9,10,2,5,8}
    • and B =
    • {4,8,6,10,9}
    • ,
    • then the relation
    • R
      :
      A
      →
      B
    • such that
    • a ∈ A
    • is equal of
    • b ∈ B
    • is
  • {(6,6),(9,9),(8,8),(11,9)}
  • {(6,6),(9,9),(10,10),(8,8),(4,4)}
  • {(6,6),(9,9),(10,10),(8,8),(2,2)}
  • {(6,6),(9,9),(8,8)}
  • {(6,6),(9,9),(10,10),(8,8)}