ICSE Board Practice

ICSE Grade X - Ratio
Question 1
1.
Two numbers are in the ratio 3 : 14. If 18 is added to each number, the ratio becomes 9 : 31. Find the numbers.
  • 30
    :
    140
  • 42
    :
    196
  • 39
    :
    182
  • 33
    :
    154
  • 36
    :
    168
Question 2
2.
    • If a : b =
    • 4

      5
      :
      8

      13
    • and b : c =
    • 1

      10
      :
      1

      2
    • ,
    • then a : b : c =
  • 2

    27
    :
    4

    65
    :
    4

    13
  • 2

    25
    :
    4

    65
    :
    4

    13
  • 2

    25
    :
    6

    65
    :
    4

    13
  • 2

    23
    :
    4

    65
    :
    4

    13
  • 2

    25
    :
    2

    65
    :
    4

    13
Question 3
3.
    • Find the compounded ratio of
    •  
    • w
    • :
    • t
    • and
    • i
    • :
    • g
  • i : wt
  • w
    i
    :
    t
    g
  • wt : ig
  • gi : wt
  • t : ig
Question 4
4.
The ages of A and B are in the ratio 7 : 6. 9 years ago, their ages were in the ratio 6 : 5. Find their present ages.
  • 63
    :
    54
  • 56
    :
    48
  • 77
    :
    66
  • 49
    :
    42
Question 5
5.
    • The fraction equivalent of the ratio
    • 6
      :
      5
    • =
  • 8

    5
  • 4

    5
  • 5

    6
  • 6

    5
  • 2
Question 6
6.
    • Divide
    • ₹152100
    • among A,B,C so that
    • A shall receive
    • 81

      88
    • of what B and C together recieve
    • and B may receive
    • 72

      97
    • of what A and C receive
  • 72900.00
    :
    64800.00
    :
    14400.00
  • 72900.00
    :
    64800.00
    :
    64800.00
  • 14400.00
    :
    72900.00
    :
    64800.00
  • 64800.00
    :
    14400.00
    :
    72900.00
  • 72900.00
    :
    14400.00
    :
    64800.00
Question 7
7.
Find the ratio between 9 months and 4 years 2 months
  • 9
    :
    50
  • 9
    :
    52
  • 8
    :
    50
  • 9
    :
    47
Question 8
8.
    • Find the compounded ratio of the
    • duplicate ratio of
    • 20 : 14
    • ,
    • the reciprocal ratio of
    • 4 : 3
    • and the sub-duplicate ratio of
    • 144 : 400
  • 46
    :
    49
  • 45
    :
    51
  • 45
    :
    49
  • 44
    :
    49
  • 45
    :
    46
Question 9
9.
    • If
    • (
      5
      x
      +
      833
      )
    • :
    • 56
    • is the triplicate ratio of
    • 9
      :
      2
    • ,
    • find the value of x
  • 854
  • 855
  • 856
  • 851
  • 853
Question 10
10.
    • The consequent in the ratio
    • 5

      6
      :
      8

      15
    • =
  • 5

    6
  • 8

    13
  • 1

    2
  • 2

    3
  • 8

    15