ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VII - Relations and Mapping
Question 1
1.
    • Which of the following relations does not represent a function
    • f
      :
      A
      →
      B
    • ,
    • where A =
    • {g,l,a,c,i}
    • and B =
    • {h,e,o,d,b,k}
    • ?
  • {(a,k),(l,d),(g,b),(c,e),(i,h)}
  • {(a,h),(c,h),(g,b),(i,h),(l,h)}
  • {(l,b),(c,h),(g,b),(a,b),(i,e)}
  • {(c,k),(l,o),(i,k),(i,e),(g,e)}
  • {(l,d),(i,d),(g,o),(a,d),(c,b)}
Question 2
2.
    • Let
    • f
      :
      R
      →
      R
    • be a function defined by given conditions
    • f
      (
      x
      )
    • =
    • (
      3
      x
      +
      7
      		)
    • if
    • x
      <
      -8
    • f
      (
      x
      )
    • =
    • (
      4
      x
      +
      3
      		)
    • if
    • -8
      ≤
      x
      ≤
      -8
    • f
      (
      x
      )
    • =
    • (
      5
      x
      +
      8
      		)
    • if
    • x
      >
      -8
    • find
    • f
      (
      x
      )
    • where x =
    • -4
  • -12
  • -11
  • -13
  • -5
Question 3
3.
    • Write the relation
    • R
      :
      A
      →
      B
    • in the given diagram,
    • where A =
    • {6,2,8,3}
    • and B =
    • {9,4,10,5,7}
  • {(6,10),(6,4),(6,7),(10,1)}
  • {(6,10),(6,4),(2,9),(6,7)}
  • {(6,10),(6,4),(6,7)}
  • {(6,10),(6,4),(2,9),(6,7),(4,6)}
  • {(6,10),(2,9),(6,7),(4,6)}
Question 4
4.
    • Which of the following relations
    • R
      :
      A
      →
      B
    • represent a function,
    • given A =
    • {10,7,6,9}
    • and B =
    • {3,2,5}
    • ?
  • I
  • IV
  • II
  • III
Question 5
5.
    • If (
    • (
      8
      x
      +
      5
      y
      +
      3
      		)
    • ,
    		•
      7
    • ) = (
    		•
      8
    • ,
    • (
      9
      x
      +
      10
      y
      +
      9
      		)
    • ) then find (x,y)
  • (
    2
    ,
    (
    -61
    35
    		 )
    )
  • (
    14
    9
    ,
    (
    -63
    37
    		 )
    )
  • (
    12
    7
    ,
    (
    -61
    35
    		 )
    )
  • (
    (
    -61
    35
    		 )
    ,
    12
    7
    )
  • (
    12
    7
    ,
    (
    -59
    33
    		 )
    )
Question 6
6.
Find the co-domain of given relation diagram.
  • {10,1,9}
  • {5,6,2,7,8,1}
  • {5,6,2,7,8}
  • {10,1,9,5}
Question 7
7.
    • If A =
    • {32,28,5,4,3}
    • and B =
    • {7,8,2}
    • ,
    • then the relation
    • R
      :
      A
      →
      B
    • such that
    • a ∈ A
    • is a multiple of
    • b ∈ B
    • is
  • {(32,8),(32,2),(28,2),(4,2)}
  • {(32,8),(32,2),(28,2),(4,2),(8,27)}
  • {(32,8),(32,2),(28,7),(28,2),(4,2)}
  • {(32,8),(28,7),(28,2),(4,2),(2,32)}
  • {(32,8),(32,2),(28,7),(28,2),(4,2),(2,32)}
Question 8
8.
    • Find the domain in the given roster form,
    • where R =
    • {(5,1),(5,10),(8,10),(8,1),(9,4)}
  • {5,8,9}
  • {5,8,9,4}
  • {5,9,3,8}
  • {5,9,3,8,4}
  • {10,4,6,1,7}
Question 9
9.
    • Find the cardinality of the given roster form,
    • where R =
    • {(3,2),(3,7),(7,1),(4,7),(2,1),(1,6),(3,1),(1,2),(1,7),(1,1)}
  • 11
  • 9
  • 13
  • 7
  • 10
Question 10
10.
    • Which of the following does not represent a function
    • f
      :
      A
      →
      B
    • ,
    • where A =
    • {4,9,7,2}
    • and B =
    • {10,1,6}
    • ?
  • IV
  • III
  • II
  • I