ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VII - Relations and Mapping
Question 1
1.
    • If
    • f
      :
      A
      →
      B
    • is defined by
    • f
      (
      x
      )
      =
      (
      7
      x
      +
      9
      		)
    • and A =
    • {2,1,9,8}
    • ,
    • find the range
  • {65,23,72}
  • {16,72,76,23}
  • {65,23,16,72,-15,-8}
  • {16,15,72,62}
  • {23,16,72,65}
Question 2
2.
    • If A =
    • {9,7}
    • and B =
    • {4,5}
    • , find
    • A ✕ B
  • {(9,4),(7,4),(7,5),(5,9)}
  • {(9,4),(9,5),(7,5),(5,6)}
  • {(9,4),(9,5),(7,5)}
  • {(9,4),(9,5),(7,4),(7,5),(5,9)}
  • {(9,4),(9,5),(7,4),(7,5)}
Question 3
3.
    • If
    • f
      (
      x
      )
      =
      (
      8
      x
      +
      9
      		)
    • and
    • g
      (
      y
      )
      =
      (
      4
      y
      +
      5
      		)
    • , then find
    • f
      (
      7
      )
    • ,
    • g
      (
      3
      )
  • 64,16
  • 68,20
  • 65,17
  • 66,18
  • 62,14
Question 4
4.
    • Find the range of given relation diagram.
  • {10,9,3}
  • {6,2,5}
  • {4,5,2,1,6,3}
  • {10,9,3,6}
  • {4,5,2,1,6}
Question 5
5.
    • Find the cardinality of the given roster form,
    • where R =
    • {(6,10),(6,2),(6,6),(5,9),(5,2),(5,5),(8,5),(3,6)}
  • 10
  • 9
  • 6
  • 8
  • 7
Question 6
6.
Which of the following are true?
a)
    • (a,b) = (b,a)
b)
    • a
    • ∈
    • (a,b)
c)
    • (a,b)
    • ∈
    • {(a,b)}
d)
    • (a,b)
    • ≠
    • {a,b}
e)
    • (a,b)
    • ⊂
    • {a,b}
  • {c,d}
  • {b,d}
  • {b,d,c}
  • {e,a,c}
  • {a,c}
Question 7
7.
    • If A =
    • {5,7,6}
    • and B =
    • {81,49,25,100,4,36}
    • ,
    • then the relation
    • R
      :
      A
      →
      B
    • such that
    • a ∈ A
    • is the square root of
    • b ∈ B
    • is
  • {(5,25),(7,49),(37,5)}
  • {(5,25),(6,36)}
  • {(5,25),(7,49),(6,36)}
  • {(5,25),(7,49),(6,36),(49,7)}
  • {(5,25),(6,36),(49,7)}
Question 8
8.
    • Write the relation
    • R
      :
      A
      →
      B
    • in the given diagram,
    • where A =
    • {8,3,5,2,9}
    • and B =
    • {6,10,7,4}
  • {(9,6),(3,10),(3,4),(9,7),(8,7),(6,5)}
  • {(9,6),(3,10),(5,6),(3,4),(9,7),(8,7)}
  • {(9,6),(3,10),(5,6),(9,7),(8,7)}
  • {(9,6),(3,10),(5,6),(3,4),(9,7),(8,7),(6,5)}
  • {(9,6),(3,10),(5,6),(9,7),(8,7),(5,2)}
Question 9
9.
    • Which of the following does not represent a function
    • f
      :
      A
      →
      B
    • ,
    • where A =
    • {3,7,10,4,8,5}
    • and B =
    • {2,6,1,9}
    • ?
  • {(3,2),(5,6),(10,9),(7,1),(4,2),(8,1)}
  • {(10,1),(8,1),(3,1),(7,1),(5,9),(4,1)}
  • {(5,1),(3,6),(7,1),(8,6),(10,2)}
  • {(4,1),(8,9),(7,1),(5,6),(10,9),(3,9)}
  • {(10,2),(7,9),(4,2),(5,9),(3,6),(8,6)}
Question 10
10.
    • Which of the following relations
    • R
      :
      A
      →
      B
    • represent a function,
    • given A =
    • {8,3}
    • and B =
    • {5,2}
    • ?
  • I
  • IV
  • III
  • II