The sub-triplicate ratio of 8:27

Option b: 24:81. Solution: The sub-triplicate ratio of a ratio a : b is defined as [3]a : [3]b . For the ratio 8 : 27 , the sub-triplicate ratio is: Sub-triplicate Ratio = [3]8 : [3]27 = 2 : 3

The sub-triplicate ratio of $8:27$

The correct answer is Option b: $24:81$. The sub-triplicate ratio of a ratio $a : b$ is defined as $\sqrt[3]{a} : \sqrt[3]{b}$. For the ratio $8 : 27$, the sub-triplicate ratio is: $$\text{Sub-triplicate Ratio} = \sqrt[3]{8} : \sqrt[3]{27} = 2 : 3$$

Ratio, Proportion, Indices, LogarithmMCQMTP May 19Question 816 of 305

All Questions

The sub-triplicate ratio of $\displaystyle 8:27$

Options

\displaystyle 27:8

\displaystyle 24:81

\displaystyle 2:3

Dnone of these

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Correct Answer

✅ Option b — $\displaystyle 24:81$

All Options:

A $\displaystyle 27:8$
B $\displaystyle 24:81$
C $\displaystyle 2:3$
Dnone of these

Detailed Solution & Explanation

The sub-triplicate ratio of a ratio

\displaystyle a : b

is defined as

\displaystyle \sqrt[3]{a} : \sqrt[3]{b}

.
For the ratio

\displaystyle 8 : 27

, the sub-triplicate ratio is:

\text{Sub-triplicate Ratio} = \sqrt[3]{8} : \sqrt[3]{27} = 2 : 3

About This Chapter: Ratio, Proportion, Indices, Logarithm

Paper

Paper 3: Quantitative Aptitude

Weightage

5-7 Marks

Key Topics

Ratio, Proportion, Indices, Logarithms

This chapter covers Ratio, Proportion, Indices, Logarithms and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 5-7 Marks weightage. Focus on understanding core concepts rather than memorizing.

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The sub-triplicate ratio of 8:27\displaystyle 8:278:27