Question

What is the triplicate ratio of $2:5$?
$
  A.8:125 \\
  B.4:25 \\
  C.\sqrt[3]{2}:\sqrt[3]{5} \\
  D.5:2 \\
$

Answer 1

Hint: In this question we will use the concept of composition of ratios i.e. triplicate ratio which is the cube of the original ratio like $a:b$is ${a^3}:{b^3}$. Use this to find the triplicate ratio of $2:5$.

Complete step-by-step answer:
According to the question we have to find the triplicate ratio of $2:5$.
We know that the triplicate ratio of $a:b$ is ${a^3}:{b^3}$
Hence same for $2:5$,
So the triplicate ratio of $2:5$ is ${2^3}:{5^3} = 8:125$
Hence triplicate ratio is $8:125$.

Note: In such questions the concept plays a vital role so it is advisable to remember the definitions and concepts of basic composition of ratio as it saves a lot of time.