MathematicsState True or False for the following,0.9:0.36 :: 10:4 are in proportion.

State True or False for the following,


0.9:0.36 :: 10:4 are in proportion.


  1. A
    True
  2. B
    False 

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    Solution:


    Given data is 0.9:0.36 :: 10:4 are in proportion.
    It can be written as,
    0.9×100 0.36×100 = 90 36  
    HCF of each number in pairs is,
    90=3×3×2×5 36=2×2×3×3  
    HCF of 90 and 36 = 3 ×  3 ×  2=18.
    HCF is 18.
    10=5×2 4=2×2  
    HCF is 2.
    90 18 36 18 = 5 2 .....(1) 10 2 4 2 = 5 2 ....(2)  
    From above, (1)=(2).
    The numbers are in proportion.
    The given statement is true.
    Therefore, option 1 is correct.
     
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