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 in given roster form,
    • where R =
    • {(4,1),(3,10),(5,1),(3,7),(4,10)}
  • {10,9,1,7,4}
  • {8,4,5,3}
  • {4,3,5,10}
  • {1,10,7}
  • {10,9,1,7}
Question 2
2.
    • Find the range of given relation diagram.
  • {6,1,2,9,10,7}
  • {7,3,4,1}
  • {3,5,7,4}
  • {6,1,2,9,10}
  • {6,2,9}
Question 3
3.
    • Which of the following statements are true if
    • f
      :
      A
      →
      B
    • and
    • a ∈ A
    • ,
    • b ∈ B
    • ?
a)
    • f
      (
      a
      )
    • is called the image of
    • a
    • under
    • f
b)
    • f
      (
      b
      )
      =
      a
c)
    • f
      (
      a
      )
      =
      b
d)
    • f
      (
      b
      )
    • is called the image of
    • b
    • under
    • f
  • {a,c}
  • {b,d,a}
  • {b,a}
  • {d,c}
  • {b,c,a}
Question 4
4.
    • Which of the following relations is a function given ,
    • A =
    • {5,10,9,4,6}
    • and B =
    • {5,1,3,10}
    • ?
  • {(5,3),(10,10),(9,3),(4,1),(6,3)}
  • {(5,3),(10,10),(4,1),(6,3)}
  • {(5,3),(10,10),(4,1),(6,3),(4,8)}
  • {}
Question 5
5.
    • Which of the following does not represent a function
    • f
      :
      A
      →
      B
    • ,
    • where A =
    • {3,4,6}
    • and B =
    • {9,10,1,5}
    • ?
  • II
  • IV
  • III
  • I
Question 6
6.
    • Which of the following does not represent a function
    • f
      :
      A
      →
      B
    • ,
    • where A =
    • {1,10,4}
    • and B =
    • {8,6,3}
    • ?
  • II
  • I
  • III
  • IV
Question 7
7.
    • If
    • f
      (
      t
      )
    • =
    • (
      9
      t
      2
       
      +
      6
      t
      +
      4
      		)
    • then find
    • f
      (
      8
      x
      +
      4
      )
  • (
    576
    x
    2
     
    +
    624
    x
    +
    172
    		)
  • (
    579
    x
    2
     
    +
    624
    x
    +
    172
    		)
  • (
    573
    x
    2
     
    +
    624
    x
    +
    172
    		)
  • (
    575
    x
    2
     
    +
    624
    x
    +
    172
    		)
  • (
    577
    x
    2
     
    +
    624
    x
    +
    172
    		)
Question 8
8.
    • If A =
    • {2,5,10}
    • and B =
    • {16,4,100,9,49,25}
    • ,
    • then the relation
    • R
      :
      A
      →
      B
    • such that
    • a ∈ A
    • is the square root of
    • b ∈ B
    • is
  • {(2,4),(5,25),(10,100),(25,5)}
  • {(2,4),(10,100)}
  • {(2,4),(10,100),(25,5)}
  • {(2,4),(5,25),(10,100)}
  • {(2,4),(5,25),(101,9)}
Question 9
9.
Which of the following are true?
a)
    • a
    • ∈
    • (a,b)
b)
    • (a,b)
    • ⊂
    • {a,b}
c)
    • (a,b)
    • ≠
    • {a,b}
d)
    • (a,b) = (b,a)
e)
    • (a,b)
    • ∈
    • {(a,b)}
  • {b,e,c}
  • {d,a,c}
  • {c,e}
  • {a,c}
  • {b,e}
Question 10
10.
    • If A =
    • {a,q,p,s}
    • and B =
    • {c,e,i,o}
    • ,
    • which of the following is relation
    • R
      :
      B
      →
      A
    • ?
  • {(i,s),(c,q),(i,a),(c,p),(e,s)}
  • {(r,p),(j,q),(m,a),(j,a),(j,s)}
  • {(q,m),(s,m),(s,r),(p,m),(p,r)}
  • {(e,r),(o,j),(e,m),(i,j),(c,r)}
  • {(s,e),(p,i),(a,c),(q,o),(s,c)}