ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VII - Relations and Mapping
Question 1
1.
    • If A =
    • {q,f,p}
    • and B =
    • {s,o,l}
    • ,
    • which of the following is relation
    • R
      :
      B
      →
      A
    • ?
  • {(o,n),(s,b),(s,e),(o,b),(s,n)}
  • {(l,q),(s,q),(l,p),(l,f),(o,p)}
  • {(f,o),(f,l),(p,l),(q,l),(q,s)}
  • {(e,q),(b,f),(j,q),(n,q),(k,f)}
  • {(f,k),(f,e),(p,m),(q,n),(p,n)}
Question 2
2.
    • If A =
    • {3,2}
    • and B =
    • {1,7,8}
    • , then
    • A ✕ B
    • is
  • III
  • II
  • I
  • IV
Question 3
3.
    • If
    • f
      :
      A
      →
      B
    • is defined by
    • f
      (
      x
      )
      =
      (
      2
      x
      +
      8
      		)
    • and A =
    • {5,8,3,10}
    • ,
    • find the range
  • {-19,28,24,9,14,18}
  • {24,14,28}
  • {18,24,14,28}
  • {14,24,28,2}
  • {32,4,14,28}
Question 4
4.
Which of the following are true?
a)
    • (a,b)
    • ≠
    • {a,b}
b)
    • (a,b) = (b,a)
c)
    • (a,b)
    • ⊂
    • {a,b}
d)
    • a
    • ∈
    • (a,b)
e)
    • (a,b)
    • ∈
    • {(a,b)}
  • {d,b,a}
  • {b,a}
  • {c,e}
  • {c,e,a}
  • {a,e}
Question 5
5.
    • Which of the following relations is a function
    • f
      :
      A
      →
      B
    • ,
    • where A =
    • {l,i,b,j,g}
    • and B =
    • {f,o,j,e,g}
    • ?
  • {(g,e),(l,g),(b,j),(i,e)}
  • {(g,e),(l,g),(j,e),(b,j),(i,e),(g,l)}
  • {(g,e),(j,e),(b,j),(i,e),(g,l)}
  • {(g,e),(l,g),(j,e),(b,j),(i,e)}
  • {}
Question 6
6.
    • If
    • f
      (
      x
      )
      =
      (
      x
      +
      1
      		)
    • , then find
    • f
      (
      7
      )
  • 6
  • 9
  • 8
  • 11
  • 7
Question 7
7.
Find the co-domain of given relation diagram.
  • {4,10,5,1,8,9}
  • {2,7,3,6,9}
  • {10,5,8}
  • {2,7,3,6,9,8}
  • {4,10,5,1,8}
Question 8
8.
    • Which of the following relations
    • R
      :
      A
      →
      B
    • represent a function,
    • given A =
    • {9,4,2}
    • and B =
    • {3,5,6}
    • ?
  • I
  • III
  • IV
  • II
Question 9
9.
    • Let
    • f
      :
      R
      →
      R
    • be a function defined by given conditions
    • f
      (
      x
      )
    • =
    • (
      x
      +
      8
      		)
    • if
    • x
      <
      1
    • f
      (
      x
      )
    • =
    • (
      7
      x
      +
      7
      		)
    • if
    • 1
      ≤
      x
      ≤
      5
    • f
      (
      x
      )
    • =
    • (
      7
      x
      +
      3
      		)
    • if
    • x
      >
      5
    • find
    • f
      (
      x
      )
    • where x =
    • 10
  • 73
  • 77
  • 72
  • 74
  • 18
Question 10
10.
    • Which of the following does not represent a function
    • f
      :
      A
      →
      B
    • ,
    • where A =
    • {4,6,1}
    • and B =
    • {3,2,9,8}
    • ?
  • II
  • I
  • III
  • IV