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 are true?
a)
    • (a,b) = (b,a)
b)
    • a
    • ∈
    • (a,b)
c)
    • (a,b)
    • ≠
    • {a,b}
d)
    • (a,b)
    • ∈
    • {(a,b)}
e)
    • (a,b)
    • ⊂
    • {a,b}
  • {b,d,c}
  • {c,d}
  • {b,d}
  • {e,a,c}
  • {a,c}
Question 2
2.
    • Let
    • f
      :
      R
      →
      R
    • be a function defined by given conditions
    • f
      (
      x
      )
    • =
    • (
      7
      x
      +
      6
      		)
    • if
    • x
      <
      -7
    • f
      (
      x
      )
    • =
    • (
      x
      +
      3
      		)
    • if
    • -7
      ≤
      x
      ≤
      8
    • f
      (
      x
      )
    • =
    • (
      5
      x
      +
      9
      		)
    • if
    • x
      >
      8
    • find
    • f
      (
      x
      )
    • where x =
    • -7
  • -43
  • -3
  • -4
  • -26
  • -5
Question 3
3.
    • Which of the following relations
    • R
      :
      A
      →
      B
    • represent a function,
    • given A =
    • {8,6,3,10}
    • and B =
    • {2,1}
    • ?
  • IV
  • II
  • III
  • I
Question 4
4.
    • Find the domain in the given roster form,
    • where R =
    • {(7,5),(9,3),(4,10),(6,5),(4,5)}
  • {7,9,4,6}
  • {5,3,10,8}
  • {4,7,1,6,9,8}
  • {7,9,4,6,8}
  • {4,7,1,6,9}
Question 5
5.
    • If A =
    • {5,7,4,1,6}
    • and B =
    • {4,7,6,1,9}
    • ,
    • then the relation
    • R
      :
      A
      →
      B
    • such that
    • a ∈ A
    • is equal of
    • b ∈ B
    • is
  • {(7,7),(4,4),(6,6)}
  • {(7,7),(4,4),(6,6),(2,0)}
  • {(7,7),(4,4),(1,1),(6,6),(5,5)}
  • {(7,7),(4,4),(1,1),(6,6)}
  • {(7,7),(4,4),(1,1),(6,6),(9,9)}
Question 6
6.
    • Find the domain and range of the given relation
    • R
      :
      A
      →
      B
    • =
    • {(2,8),(2,1),(2,3),(4,8),(4,1),(4,3),(9,8),(9,1),(9,3),(1,8),(1,1),(1,3)}
  • A = {9,1,5,2,4} , B ={6,8,3,5}
  • A = {2,4,9,1} , B = {8,1,3}
  • A = {10,4,2,1} , B ={1,9,8}
  • A = {16,2,5,14} , B ={1,-2,-3}
  • A = {2,9,4,8} , B ={8,1,4}
Question 7
7.
    • Which of the following does not represent a function
    • f
      :
      A
      →
      B
    • ,
    • where A =
    • {10,4,5,6}
    • and B =
    • {2,3,1,8}
    • ?
  • {(10,2),(6,2),(5,1)}
  • {(6,8),(10,8),(5,2),(4,1)}
  • {(6,8),(4,8),(5,3),(10,2)}
  • {(4,3),(10,2),(5,8),(6,1)}
  • {(5,2),(10,3),(4,2),(6,1)}
Question 8
8.
    • Find the range of given relation diagram.
  • {7,2,5,4}
  • {6,3,1,10}
  • {7,9,2,5,4,10}
  • {10,3,6,2}
  • {4,2,9,7,5}
Question 9
9.
    • If
    • f
      (
      x
      )
      =
      (
      2
      x
      +
      2
      		)
    • and
    • g
      (
      y
      )
      =
      (
      3
      y
      +
      8
      		)
    • , then find
    • f
      (
      4
      )
    • ,
    • g
      (
      5
      )
  • 9,22
  • 12,26
  • 8,20
  • 11,24
  • 10,23
Question 10
10.
    • Which of the following relations is a function
    • f
      :
      A
      →
      B
    • ,
    • where A =
    • {n,e,i,a,h,g}
    • and B =
    • {g,d,a,l,k,o}
    • ?
  • {(i,g),(h,o),(n,k),(g,a),(a,o),(a,e)}
  • {(i,g),(h,o),(e,a),(n,k),(g,a),(a,o),(a,e)}
  • {(i,g),(h,o),(e,a),(g,a),(a,o)}
  • {}
  • {(i,g),(h,o),(e,a),(n,k),(g,a),(a,o)}