ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VII - Relations and Mapping
Question 1
1.
    • If A =
    • {3,1,4}
    • and B =
    • {5,9,8}
    • , then
    • A ✕ B
    • is
  • I
  • II
  • IV
  • III
Question 2
2.
    • If A =
    • {d,h,n}
    • and B =
    • {r,j,g}
    • ,
    • which of the following is relation
    • R
      :
      A
      →
      B
    • ?
  • {(j,h),(j,d),(r,d),(g,n),(g,h)}
  • {(h,r),(d,r),(d,j),(d,g),(n,g)}
  • {(j,c),(g,q),(j,e),(j,m),(j,q)}
  • {(h,i),(h,q),(h,c),(d,m),(d,q)}
  • {(q,h),(i,n),(c,n),(i,d),(m,n)}
Question 3
3.
    • If (
    • (
      7
      x
      +
      y
      +
      9
      		)
    • ,
    		•
      7
    • ) = (
    		•
      1
    • ,
    • (
      7
      x
      +
      3
      y
      +
      5
      		)
    • ) then find (x,y)
  • (
    (
    -13
    7
    		 )
    ,
    5
    )
  • (
    (
    -5
    3
    		 )
    ,
    6
    )
  • (
    5
    ,
    (
    -13
    7
    		 )
    )
  • (
    (
    -13
    7
    		 )
    ,
    4
    )
  • (
    (
    -11
    7
    		 )
    ,
    5
    )
Question 4
4.
    • Which of the following does not represent a function
    • f
      :
      A
      →
      B
    • ,
    • where A =
    • {2,7,5,9,10,4}
    • and B =
    • {8,1,6,3}
    • ?
  • {(10,1),(7,6),(2,6),(9,3),(5,6),(4,6)}
  • {(10,6),(5,1),(7,6),(9,1),(9,8),(5,8)}
  • {(4,1),(5,3),(2,1),(10,6),(7,3),(9,8)}
  • {(10,8),(7,1),(2,3),(4,3),(9,6),(5,1)}
  • {(9,1),(5,1),(4,6),(2,1),(10,6),(7,3)}
Question 5
5.
    • Find the range of given relation diagram.
  • {6,4,1,2}
  • {7,9,8}
  • {1,3,4,6,2,8}
  • {8,7,4}
  • {1,3,4,6,2}
Question 6
6.
    • Find the domain of the given relation.
  • {6,8,9,5}
  • {1,2,3}
  • {1,3,2,10,7}
  • {1,2,3,9}
  • {1,3,2,10,7,8}
Question 7
7.
    • If
    • f
      (
      t
      )
    • =
    • (
      5
      t
      2
       
      +
      9
      t
      +
      4
      		)
    • then find
    • f
      (
      5
      x
      −
      5
      )
  • (
    124
    x
    2
     
    −
    205
    x
    +
    84
    		)
  • (
    123
    x
    2
     
    −
    205
    x
    +
    84
    		)
  • (
    126
    x
    2
     
    −
    205
    x
    +
    84
    		)
  • (
    125
    x
    2
     
    −
    205
    x
    +
    84
    		)
  • (
    127
    x
    2
     
    −
    205
    x
    +
    84
    		)
Question 8
8.
    • Which of the following does not represent a function
    • f
      :
      A
      →
      B
    • ,
    • where A =
    • {1,2,4,6,10,3}
    • and B =
    • {7,5,8,9}
    • ?
  • {(3,9),(4,8),(2,5),(1,7),(6,7),(10,8)}
  • {(4,9),(2,8),(1,5),(10,7),(6,7),(3,7)}
  • {(3,9),(10,8),(4,8),(6,5),(2,8)}
  • {(10,5),(2,8),(1,5),(3,8),(4,7),(6,7)}
  • {(2,7),(1,9),(4,5),(10,7),(3,8),(6,7)}
Question 9
9.
Which of the following are true?
a)
    • (a,b)
    • ∈
    • {(a,b)}
b)
    • (a,b) = (b,a)
c)
    • (a,b)
    • ⊂
    • {a,b}
d)
    • a
    • ∈
    • (a,b)
e)
    • (a,b)
    • ≠
    • {a,b}
  • {b,a}
  • {c,e}
  • {c,e,a}
  • {d,b,a}
  • {a,e}
Question 10
10.
    • Which of the following relations
    • R
      :
      A
      →
      B
    • represent a function,
    • given A =
    • {3,10,1}
    • and B =
    • {6,5}
    • ?
  • I
  • III
  • II
  • IV