ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VIII - Relations and Mapping
Question 1
1.
    • If
    • f
      :
      A
      →
      B
    • is defined by
    • f
      (
      x
      )
      =
      (
      6
      x
      +
      2
      		)
    • and A =
    • {5,4,1,7}
    • ,
    • find the range
  • {26,44,32}
  • {32,26,8,44}
  • {8,10,1,26,44,32}
  • {26,27,-12,44}
  • {8,26,32,43}
Question 2
2.
Find the co-domain of given relation diagram.
  • {9,2,1}
  • {9,2,1,10}
  • {10,3,8,7}
  • {3,7}
  • {10,3,8,7,2}
Question 3
3.
    • If A =
    • {3,4}
    • and B =
    • {8,5,9}
    • , then
    • A ✕ B
    • is
  • II
  • IV
  • I
  • III
Question 4
4.
    • If
    • f
      (
      t
      )
    • =
    • (
      6
      t
      2
       
      +
      6
      t
      +
      1
      		)
    • then find
    • f
      (
      3
      x
      +
      4
      )
  • (
    53
    x
    2
     
    +
    162
    x
    +
    121
    		)
  • (
    55
    x
    2
     
    +
    162
    x
    +
    121
    		)
  • (
    54
    x
    2
     
    +
    162
    x
    +
    121
    		)
  • (
    52
    x
    2
     
    +
    162
    x
    +
    121
    		)
  • (
    57
    x
    2
     
    +
    162
    x
    +
    121
    		)
Question 5
5.
    • Find the range of
    • f
      :
      Z
      →
      Z
    • where
    • f
      (
      x
      )
    • =
    • (
      9
      x
      −
      2
      		)
    • and domain of
    •   
      f
        
    • is
    • {x : -3 ≤ x ≤ 1}
  • {-29,-20,-2,7,-13}
  • {-29,-20,-11,-2,8}
  • {-29,-20,-11,-2,7}
  • {-29,-11,-2,7,-18}
  • {-20,-11,-2,7,-30}
Question 6
6.
    • If A =
    • {2,3,4,8,7}
    • and B =
    • {9,10,2,8,5,3}
    • ,
    • then the relation
    • R
      :
      A
      →
      B
    • such that
    • a ∈ A
    • is equal of
    • b ∈ B
    • is
  • {(2,2),(8,8),(3,3),(5,5)}
  • {(2,2),(3,3)}
  • {(2,2),(8,8),(3,3),(4,4)}
  • {(2,2),(8,8),(4,2)}
  • {(2,2),(8,8),(3,3)}
Question 7
7.
Which of the following are true?
a)
    • (a,b)
    • ⊂
    • {a,b}
b)
    • (a,b)
    • ∈
    • {(a,b)}
c)
    • a
    • ∈
    • (a,b)
d)
    • (a,b) = (b,a)
e)
    • (a,b)
    • ≠
    • {a,b}
  • {a,b}
  • {b,e}
  • {d,a,b}
  • {c,e}
  • {c,e,b}
Question 8
8.
    • If
    • f
      (
      x
      )
      =
      (
      5
      x
      +
      2
      		)
    • , then find
    • f
      (
      8
      )
  • 45
  • 42
  • 41
  • 43
  • 39
Question 9
9.
    • If A =
    • {4,2,7}
    • and B =
    • {16,49,4,36,64,81}
    • ,
    • then the relation
    • R
      :
      A
      →
      B
    • such that
    • a ∈ A
    • is the square root of
    • b ∈ B
    • is
  • {(4,16),(2,4),(50,6)}
  • {(4,16),(7,49),(4,2)}
  • {(4,16),(2,4),(7,49)}
  • {(4,16),(2,4),(7,49),(4,2)}
  • {(4,16),(7,49)}
Question 10
10.
    • If A =
    • {b,d,p}
    • and B =
    • {i,a,m}
    • ,
    • which of the following is relation
    • R
      :
      B
      →
      A
    • ?
  • {(p,m),(b,i),(d,a),(b,m),(d,m)}
  • {(o,d),(o,b),(o,p),(r,d),(j,b)}
  • {(i,d),(a,p),(m,b),(m,p),(a,b)}
  • {(p,o),(p,r),(b,o),(d,r),(d,o)}
  • {(i,j),(a,r),(m,r),(a,j),(i,o)}