ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VIII - Relations and Mapping
Question 1
1.
    • Which of the following does not represent a function
    • f
      :
      A
      →
      B
    • ,
    • where A =
    • {6,3,10,5}
    • and B =
    • {8,2,9,4,7,1}
    • ?
  • {(5,4),(6,8),(3,7),(10,1)}
  • {(5,7),(3,2),(6,8),(10,1)}
  • {(5,1),(3,2),(10,7),(10,9)}
  • {(10,1),(3,2),(6,7),(5,2)}
  • {(3,1),(6,2),(5,8),(10,8)}
Question 2
2.
    • Which of the following relations is a function
    • f
      :
      A
      →
      B
    • ,
    • where A =
    • {l,f,d,h}
    • and B =
    • {k,d,e,h,f}
    • ?
  • {(d,e),(h,k),(f,h),(l,d),(k,h)}
  • {(d,e),(h,k),(f,h),(l,d)}
  • {}
  • {(d,e),(h,k),(l,d)}
  • {(d,e),(f,h),(l,d),(k,h)}
Question 3
3.
    • If A =
    • {5,9}
    • and B =
    • {8,2}
    • , find
    • A ✕ B
  • {(5,8),(5,2),(9,2)}
  • {(5,8),(5,2),(9,8),(9,2)}
  • {(5,8),(5,2),(9,8),(9,2),(2,5)}
  • {(5,8),(9,8),(9,2),(2,5)}
  • {}
Question 4
4.
    • If A =
    • {2,5,9,6}
    • and B =
    • {7,4,3}
    • ,
    • then the relation
    • R
      :
      A
      →
      B
    • such that
    • a ∈ A
    • is less than
    • b ∈ B
    • is
  • {(2,7),(2,4),(5,7),(6,7),(4,1)}
  • {(2,7),(2,4),(5,7),(6,7)}
  • {(2,7),(2,4),(2,3),(5,7),(6,7)}
  • {(2,7),(2,4),(2,3),(5,7),(6,7),(4,2)}
  • {(2,7),(2,3),(5,7),(6,7),(4,2)}
Question 5
5.
    • Find the domain and range of the given relation
    • R
      :
      A
      →
      B
    • =
    • {(5,10),(5,4),(5,5),(1,10),(1,4),(1,5),(8,10),(8,4),(8,5),(2,10),(2,4),(2,5)}
  • A = {1,5,10,8} , B ={13,5,4}
  • A = {4,8,9,2,1} , B ={10,1,4,5}
  • A = {8,7,0,3} , B ={5,10,2}
  • A = {1,5,2} , B ={10,4,8}
  • A = {5,1,8,2} , B = {10,4,5}
Question 6
6.
    • If A =
    • {32,27,3,2,20}
    • and B =
    • {10,8,9}
    • ,
    • then the relation
    • R
      :
      A
      →
      B
    • such that
    • a ∈ A
    • is a multiple of
    • b ∈ B
    • is
  • {(32,8),(27,9),(20,10),(9,27)}
  • {(32,8),(27,9),(20,10)}
  • {(32,8),(20,10)}
  • {(32,8),(20,10),(9,27)}
  • {(32,8),(27,9),(11,19)}
Question 7
7.
    • 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
      (
      a
      )
      =
      b
c)
    • f
      (
      b
      )
      =
      a
d)
    • f
      (
      b
      )
    • is called the image of
    • b
    • under
    • f
  • {d,b}
  • {c,b,a}
  • {c,a}
  • {a,b}
  • {c,d,a}
Question 8
8.
    • If A =
    • {q,e,s}
    • and B =
    • {h,l,i}
    • ,
    • which of the following is relation
    • R
      :
      B
      →
      A
    • ?
  • {(q,c),(q,j),(e,g),(s,c),(q,g)}
  • {(i,s),(i,q),(h,q),(l,q),(h,e)}
  • {(g,e),(c,q),(j,q),(j,s),(g,q)}
  • {(l,n),(i,c),(l,c),(h,n),(i,g)}
  • {(s,l),(e,l),(s,i),(s,h),(e,i)}
Question 9
9.
    • Which of the following relations
    • R
      :
      A
      →
      B
    • represent a function,
    • given A =
    • {5,9,6}
    • and B =
    • {3,1,2,4}
    • ?
  • IV
  • II
  • III
  • I
Question 10
10.
    • If A =
    • {10,2,7}
    • and B =
    • {81,16,64,100,4,49}
    • ,
    • then the relation
    • R
      :
      A
      →
      B
    • such that
    • a ∈ A
    • is the square root of
    • b ∈ B
    • is
  • {(10,100),(2,4),(50,6)}
  • {(10,100),(7,49),(4,2)}
  • {(10,100),(2,4),(7,49)}
  • {(10,100),(7,49)}
  • {(10,100),(2,4),(7,49),(4,2)}