ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VII - Relations and Mapping
Question 1
1.
    • If A =
    • {10,9,2}
    • and B =
    • {81,4,100,36,49,16}
    • ,
    • then the relation
    • R
      :
      A
      →
      B
    • such that
    • a ∈ A
    • is the square root of
    • b ∈ B
    • is
  • {(10,100),(2,4),(81,9)}
  • {(10,100),(9,81),(5,1)}
  • {(10,100),(9,81),(2,4)}
  • {(10,100),(9,81),(2,4),(81,9)}
  • {(10,100),(2,4)}
Question 2
2.
    • If
    • f
      :
      A
      →
      B
    • is defined by
    • f
      (
      x
      )
      =
      (
      5
      x
      +
      1
      		)
    • and A =
    • {6,2,5,3}
    • ,
    • find the range
  • {16,11,4,26,31,17}
  • {16,26,31}
  • {31,11,26,16}
  • {16,31,26,19}
  • {43,11,26,16}
Question 3
3.
    • Which of the following relations does not represent a function
    • f
      :
      A
      →
      B
    • ,
    • where A =
    • {k,f,o,g,c,e}
    • and B =
    • {j,a,n,h}
    • ?
  • {(k,h),(e,n),(c,a),(f,j),(g,j),(o,n)}
  • {(k,n),(e,a),(g,h),(f,j),(c,n),(o,a)}
  • {(e,n),(g,a),(f,n),(k,h),(c,a),(o,h)}
  • {(o,a),(g,n),(f,n),(k,h),(e,j),(c,n)}
  • {(e,h),(f,n),(g,j),(o,a),(f,j),(o,n)}
Question 4
4.
    • Find the domain of the given relation.
  • {10,4,8,6}
  • {2,9,1,3,10}
  • {3,2,9,6}
  • {2,9,1,3}
  • {3,2,9}
Question 5
5.
    • Which of the following statements are true if
    • f
      :
      A
      →
      B
    • and
    • a ∈ A
    • ,
    • b ∈ B
    • ?
a)
    • f
      (
      a
      )
      =
      b
b)
    • f
      (
      b
      )
    • is called the image of
    • b
    • under
    • f
c)
    • f
      (
      a
      )
    • is called the image of
    • a
    • under
    • f
d)
    • f
      (
      b
      )
      =
      a
  • {b,a}
  • {d,c}
  • {b,c,a}
  • {a,c}
  • {b,d,a}
Question 6
6.
    • If A =
    • {b,k,c,q,j}
    • and B =
    • {e,f,p,d,s}
    • ,
    • which of the following is relation
    • R
      :
      A
      →
      B
    • ?
  • {(d,g),(e,g),(p,g),(s,n),(e,n)}
  • {(q,m),(j,l),(q,l),(c,m),(q,n)}
  • {(m,c),(g,c),(n,k),(g,j),(g,k)}
  • {(b,f),(j,s),(j,p),(b,e),(k,d)}
  • {(d,q),(e,c),(p,c),(f,b),(d,j)}
Question 7
7.
    • Which of the following does not represent a function
    • f
      :
      A
      →
      B
    • ,
    • where A =
    • {5,2,4,8}
    • and B =
    • {10,9,7}
    • ?
  • IV
  • I
  • III
  • II
Question 8
8.
    • If A =
    • {7,1,6}
    • and B =
    • {4,5,2,9}
    • , find
    • A ✕ B
  • {(7,4),(7,5),(7,2),(7,9),(1,4),(1,5),(1,2),(1,9),(6,4),(6,5),(6,2),(6,9)}
  • {(7,4),(7,5),(7,2),(7,9),(1,4),(1,5),(1,9),(6,4),(6,5),(6,2),(6,9)}
  • {(7,4),(7,5),(7,2),(7,9),(1,4),(1,5),(1,2),(1,9),(6,4),(6,5),(6,2),(6,9),(4,1)}
  • {(7,4),(7,5),(7,2),(7,9),(1,4),(1,2),(1,9),(6,4),(6,5),(6,2),(6,9),(6,0)}
  • {(7,4),(7,5),(7,2),(7,9),(1,5),(1,2),(1,9),(6,4),(6,5),(6,2),(6,9),(4,1)}
Question 9
9.
    • Which of the following relations
    • R
      :
      A
      →
      B
    • represent a function,
    • given A =
    • {9,5,10}
    • and B =
    • {1,4,3}
    • ?
  • IV
  • I
  • II
  • III
Question 10
10.
    • Find the range of given relation diagram.
  • {4,3,7,1}
  • {4,3,7,1,8}
  • {6,5,10,1}
  • {10,8,9,5,6}
  • {4,3}