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
      )
      =
      (
      2
      x
      +
      5
      		)
    • and A =
    • {7,9,6,1}
    • ,
    • find the range
  • {19,23,17,7}
  • {17,23,25,31}
  • {7,19,22,23}
  • {7,17,23,-7,19,-14}
  • {17,19,23}
Question 2
2.
    • Find the domain in the given roster form,
    • where R =
    • {(10,5),(9,7),(10,7),(9,2),(10,2)}
  • {10,9}
  • {10,9,3}
  • {6,1,8,9,10}
  • {6,1,8,9,10,3}
  • {5,2,4,3,7}
Question 3
3.
    • If
    • f
      (
      x
      )
      =
      (
      7
      x
      +
      6
      		)
    • and
    • g
      (
      y
      )
      =
      (
      6
      y
      +
      4
      		)
    • , then find
    • f
      (
      8
      )
    • ,
    • g
      (
      5
      )
  • 64,36
  • 61,33
  • 59,31
  • 62,34
  • 63,35
Question 4
4.
    • If A =
    • {q,d,h,o}
    • and B =
    • {l,e,s,a}
    • ,
    • which of the following is relation
    • R
      :
      B
      →
      A
    • ?
  • {(h,l),(q,a),(d,e),(h,a),(h,s)}
  • {(e,o),(s,h),(s,q),(e,d),(a,o)}
  • {(c,h),(m,d),(c,o),(p,q),(r,o)}
  • {(o,m),(d,r),(h,c),(d,c),(q,p)}
  • {(s,p),(s,m),(a,j),(a,c),(e,r)}
Question 5
5.
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)}
  • {d,a,c}
  • {b,e,c}
  • {b,e}
  • {c,e}
  • {a,c}
Question 6
6.
    • Which of the following does not represent a function
    • f
      :
      A
      →
      B
    • ,
    • where A =
    • {6,3,4}
    • and B =
    • {9,10,7,8}
    • ?
  • I
  • II
  • IV
  • III
Question 7
7.
    • Which of the following relations is a function given ,
    • A =
    • {6,9,3,1,2}
    • and B =
    • {1,4,8,5,7,9}
    • ?
  • {(6,9),(9,8),(1,4),(2,4)}
  • {(6,9),(9,8),(1,4),(2,4),(8,2)}
  • {(6,9),(9,8),(3,7),(1,4),(2,4)}
  • {(6,9),(9,8),(3,7),(1,4),(2,4),(8,9)}
  • {(6,9),(3,7),(1,4),(2,4),(8,9)}
Question 8
8.
    • Which of the following does not represent a function
    • f
      :
      A
      →
      B
    • ,
    • where A =
    • {2,4,3,9,10}
    • and B =
    • {6,7,5,8,1}
    • ?
  • {(3,6),(2,1),(9,7),(4,8),(10,8)}
  • {(9,8),(10,5),(4,7),(3,8),(2,7)}
  • {(3,1),(4,8),(10,1),(10,5),(9,5)}
  • {(3,6),(2,8),(4,1),(9,8),(10,8)}
  • {(2,8),(9,6),(3,8),(10,7),(4,1)}
Question 9
9.
    • If A =
    • {2,9,4,6}
    • and B =
    • {3,36,10,12,5,8}
    • ,
    • then the relation
    • R
      :
      A
      →
      B
    • such that
    • a ∈ A
    • is a factor of
    • b ∈ B
    • is
  • {(2,36),(2,10),(2,12),(2,8),(9,36),(4,36),(4,12),(4,8),(6,36),(6,12),(8,2)}
  • {(2,36),(2,10),(2,12),(9,36),(4,36),(4,12),(4,8),(6,36),(6,12),(8,2)}
  • {(2,36),(2,10),(2,12),(2,8),(9,36),(4,12),(4,8),(6,36),(6,12)}
  • {(2,36),(2,10),(2,12),(2,8),(4,36),(4,12),(4,8),(6,36),(6,12),(37,8)}
  • {(2,36),(2,10),(2,12),(2,8),(9,36),(4,36),(4,12),(4,8),(6,36),(6,12)}
Question 10
10.
    • Which of the following does not represent a function
    • f
      :
      A
      →
      B
    • ,
    • where A =
    • {9,10,4,8,7,2}
    • and B =
    • {3,1,6,5}
    • ?
  • {(9,1),(10,1),(4,3),(7,3),(2,5),(8,1)}
  • {(9,5),(7,1),(2,3),(10,5),(8,3)}
  • {(4,6),(10,3),(8,1),(7,3),(9,6),(2,5)}
  • {(7,5),(8,6),(4,1),(9,3),(10,6),(2,1)}
  • {(10,1),(7,1),(4,3),(8,6),(9,1),(2,5)}