Question

$ 24:50::102:\_\_\_\_\_\_\_\_\_\_\_\_\_ $ Find the number.

Answer 1

Hint: First of all find out the correct pattern in the given three terms. Here we can observe the correlation between the first two terms, that is the second term is more than the double of the first term and will calculate what exactly is added in the first term to get the second term and accordingly has to identify the fourth term in the ratio.

Complete step by step solution:
Here, we can find the correlation between the given terms:
Add to the given number
It gives $ 24 + 1 = 25 $
Now, multiplied the resultant term by
 $ \Rightarrow 2 \times 25 = 50 $
The above resultant value is the same value as given as expressed as the ratio of first term and the second term. So, following the same pattern, adding one and multiplying its value with two will give us the required value.
Therefore, take the third given term –
 $ 102 $
Add one to the above term gives –
 $ = 102 + 1 $
Simplify adding the terms
 $ = 103 $
Now, multiply the above term with
 $ = 103 \times 2 $
Simplify the above terms finding the product of the terms –
 $ = 206 $
Thus, the required solution is $ 24:50::102:206 $
So, the correct answer is “ $ 24:50::102:206 $ ”.

Note: Always be good in the basic four operations that are Division, Multiplication, Addition and the subtraction and its different combinations to find the pattern of the terms. Use different techniques and ways to identify the correct pattern to know the right and the wrong numbers in the series. Cross check the identified pattern with the given terms and then find the unknown term.