ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VIII - Relations and Mapping
Question 1
1.
    • If (
    • (
      x
      +
      9
      y
      +
      6
      		)
    • ,
    		•
      1
    • ) = (
    		•
      6
    • ,
    • (
      8
      x
      +
      6
      y
      +
      4
      		)
    • ) then find (x,y)
  • (
    (
    -7
    22
    		 )
    ,
    1
    22
    )
  • (
    (
    -3
    8
    		 )
    ,
    1
    24
    )
  • (
    (
    -9
    22
    		 )
    ,
    1
    22
    )
  • (
    1
    22
    ,
    (
    -9
    22
    		 )
    )
  • (
    (
    -9
    22
    		 )
    ,
    1
    20
    )
Question 2
2.
    • Which of the following does not represent a function
    • f
      :
      A
      →
      B
    • ,
    • where A =
    • {6,10,9,7,3}
    • and B =
    • {8,2,1,5,4}
    • ?
  • {(3,8),(10,5),(9,2),(7,8),(6,5)}
  • {(6,2),(10,8),(9,5),(7,5),(3,1)}
  • {(10,1),(7,1),(9,2),(3,5)}
  • {(7,1),(6,4),(9,8),(3,2),(10,5)}
  • {(7,4),(10,8),(3,1),(6,4),(9,4)}
Question 3
3.
    • Find the cardinality of the given relation
  • 9
  • 6
  • 7
  • 4
  • 8
Question 4
4.
If n(A) = 3 and n(B) = 2 then the number of possible relations from A → B is
  • 62
  • 64
  • 61
  • 63
  • 65
Question 5
5.
    • Which of the following does not represent a function
    • f
      :
      A
      →
      B
    • ,
    • where A =
    • {7,2,3,5,9}
    • and B =
    • {1,8,10,4}
    • ?
  • {(2,10),(7,4),(5,4),(9,4),(3,4)}
  • {(9,4),(7,8),(3,4),(2,1),(5,10)}
  • {(9,4),(2,1),(3,4),(7,4),(5,10)}
  • {(5,8),(2,4),(3,8),(9,4),(7,1)}
  • {(5,10),(3,10),(2,1),(3,4),(5,1)}
Question 6
6.
    • Which of the following relations
    • R
      :
      A
      →
      B
    • represent a function,
    • given A =
    • {10,6,1,4}
    • and B =
    • {2,8}
    • ?
  • III
  • IV
  • I
  • II
Question 7
7.
    • Find the domain and range of the given relation
    • R
      :
      A
      →
      B
    • =
    • {(1,2),(1,10),(1,6),(5,2),(5,10),(5,6),(7,2),(7,10),(7,6),(9,2),(9,10),(9,6)}
  • A = {7,11,1,5} , B ={6,2,16}
  • A = {-5,11,14,1} , B ={20,1,8}
  • A = {1,5,7,9} , B = {2,10,6}
  • A = {7,1,9,10} , B ={10,2,1}
  • A = {9,5,4,7,1} , B ={5,1,6,2}
Question 8
8.
    • Find the cardinality of the given roster form,
    • where R =
    • {(3,2),(1,2),(3,6),(3,9)}
  • 1
  • 4
  • 7
  • 5
  • 3
Question 9
9.
    • If A =
    • {o,h,n,c}
    • and B =
    • {b,e,i,k}
    • ,
    • which of the following is relation
    • R
      :
      B
      →
      A
    • ?
  • {(m,n),(j,n),(d,n),(d,o),(j,o)}
  • {(k,j),(i,m),(b,d),(e,m),(b,j)}
  • {(n,m),(o,d),(c,j),(c,m),(n,d)}
  • {(h,i),(n,k),(n,i),(c,e),(h,k)}
  • {(i,n),(i,h),(e,n),(e,c),(i,o)}
Question 10
10.
    • Which of the following statements are true if
    • f
      :
      A
      →
      B
    • and
    • a ∈ A
    • ,
    • b ∈ B
    • ?
a)
    • f
      (
      b
      )
    • is called the image of
    • b
    • under
    • f
b)
    • f
      (
      b
      )
      =
      a
c)
    • f
      (
      a
      )
    • is called the image of
    • a
    • under
    • f
d)
    • f
      (
      a
      )
      =
      b
  • {a,c}
  • {c,d}
  • {a,d,c}
  • {a,b,c}
  • {b,d}