ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VII - Relations and Mapping
Question 1
1.
    • If A =
    • {d,f,i}
    • and B =
    • {c,s,a}
    • ,
    • which of the following is relation
    • R
      :
      A
      →
      B
    • ?
  • {(h,d),(r,i),(r,d),(p,f),(h,f)}
  • {(f,g),(f,r),(i,g),(d,h),(f,h)}
  • {(d,a),(f,a),(f,s),(i,c),(i,a)}
  • {(c,i),(s,d),(c,d),(c,f),(s,i)}
  • {(c,r),(s,r),(c,g),(s,p),(a,r)}
Question 2
2.
    • Find the domain of the given relation.
  • {8,5,9,7,2}
  • {4,2,10,3}
  • {8,9,5}
  • {8,5,9,7}
  • {8,9,5,10}
Question 3
3.
    • Which of the following does not represent a function
    • f
      :
      A
      →
      B
    • ,
    • where A =
    • {6,5,2,4,10}
    • and B =
    • {8,3,1,7,9}
    • ?
  • {(5,7),(6,9),(4,9),(10,7)}
  • {(6,8),(2,7),(4,9),(10,3),(5,7)}
  • {(4,7),(5,9),(6,7),(10,1),(2,9)}
  • {(4,3),(2,3),(5,7),(6,1),(10,3)}
  • {(2,1),(5,1),(4,7),(6,8),(10,7)}
Question 4
4.
    • Find the cardinality of the given relation
  • 4
  • 8
  • 6
  • 5
  • 3
Question 5
5.
    • Which of the following relations is a function given ,
    • A =
    • {9,3,5,8}
    • and B =
    • {6,2,5,10}
    • ?
  • {(9,5),(3,6),(5,10),(8,6)}
  • {(9,5),(3,6),(8,6)}
  • {(9,5),(3,6),(8,6),(11,4)}
  • {(9,5),(5,10),(8,6),(6,3)}
  • {(9,5),(3,6),(5,10),(8,6),(6,3)}
Question 6
6.
    • Which of the following relations is a function
    • f
      :
      A
      →
      B
    • ,
    • where A =
    • {a,o,h,e}
    • and B =
    • {k,a,e,l}
    • ?
  • {(e,e),(o,k),(h,l),(a,e),(k,o)}
  • {(e,e),(o,k),(h,l),(a,e)}
  • {(e,e),(o,k),(a,e)}
  • {}
  • {(e,e),(h,l),(a,e),(k,o)}
Question 7
7.
    • Let
    • f
      :
      R
      →
      R
    • be a function defined by given conditions
    • f
      (
      x
      )
    • =
    • (
      x
      +
      1
      		)
    • if
    • x
      <
      -3
    • f
      (
      x
      )
    • =
    • (
      4
      x
      +
      4
      		)
    • if
    • -3
      ≤
      x
      ≤
      8
    • f
      (
      x
      )
    • =
    • (
      5
      x
      +
      3
      		)
    • if
    • x
      >
      8
    • find
    • f
      (
      x
      )
    • where x =
    • -5
  • -4
  • -16
  • -5
  • -22
  • -3
Question 8
8.
    • If A =
    • {2,4,6,5}
    • and B =
    • {9,10}
    • , find
    • A ✕ B
  • {(2,9),(2,10),(4,9),(4,10),(6,10),(5,9),(5,10)}
  • {(2,9),(2,10),(4,9),(6,9),(6,10),(5,9),(5,10),(11,3)}
  • {(2,9),(2,10),(4,10),(6,9),(6,10),(5,9),(5,10),(9,4)}
  • {(2,9),(2,10),(4,9),(4,10),(6,9),(6,10),(5,9),(5,10)}
  • {(2,9),(2,10),(4,9),(4,10),(6,9),(6,10),(5,9),(5,10),(9,4)}
Question 9
9.
    • Find the range of given relation diagram.
  • {8,6,1,10,4}
  • {4,5,2,8}
  • {6,10,8,1}
  • {8,6,10}
  • {3,4,2,5}
Question 10
10.
    • Find the cardinality of the given roster form,
    • where R =
    • {(10,9),(10,4),(8,9),(8,6),(5,6)}
  • 4
  • 5
  • 6
  • 2
  • 8