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Question


Which of the following options are correct?


Options:
A .   4 kg : 20 kg :: 50 : 250
B .   2 dozens : 3 dozens :: 40 : 80
C .   8 liters : 15 liters :: 25: 50
D .   2 km : 3 km :: 1m : 2m
Answer: Option A
:
A

Ratios are in proportion if they are equal or equivalent. This can be verified by using the product of means and product of extremes.


In a: b :: c: d; 'b' and 'c' are means and 'a' and 'd' are extremes.


For 4 kg : 20 kg :: 50 : 250


Product of means = 20 × 50 = 1000
Product of extremes = 4 × 250 = 1000

So, this is in proportion.


For 2 dozens : 3 dozens ::  40 : 80


Product of means = 3 × 40 = 120
Product of extremes = 2 × 80 = 160


So, this is not in proportion.


For  8 liters : 15 liters :: 25 : 50
Product of means = 15 × 25 = 375
Product of extremes = 8 × 50 = 400


So, this is also not in in proportion.


For  2 km : 3 km :: 1 m : 2m
Product of means = 3 × 1 = 3
Product of extremes = 2 × 2 = 4


So, this is also not in in proportion.



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