If the four number 1/4, 1/6, 1/10, and 1/x are proportional, then what is the value of x ?

Option b: 14. Solution: Since the four quantities 1/4 , 1/6 , 1/10 , and 1/x are proportional: 1/4/1/6 = 1/10/1/x Simplifying both fractions: 6/4 = x/10 3/2 = x/10 2x = 30 x = 15

If the four number $1/4, 1/6, 1/10, \text{ and } 1/x$ are proportional, then what is the value of $x$?

The correct answer is Option b: $14$. Since the four quantities $\frac{1}{4}$, $\frac{1}{6}$, $\frac{1}{10}$, and $\frac{1}{x}$ are proportional: $$\frac{1/4}{1/6} = \frac{1/10}{1/x}$$ Simplifying both fractions: $$\frac{6}{4} = \frac{x}{10}$$ $$\frac{3}{2} = \frac{x}{10} \implies 2x = 30 \implies x = 15$$

Ratio, Proportion, Indices, LogarithmMCQPYQ June 24Question 809 of 305

All Questions

If the four number $\displaystyle 1/4, 1/6, 1/10, \text{ and } 1/x$ are proportional, then what is the value of $\displaystyle x$ ?

Options

\displaystyle 15

\displaystyle 14

\displaystyle 10

\displaystyle 1/12

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Correct Answer

✅ Option b — $\displaystyle 14$

All Options:

A $\displaystyle 15$
B $\displaystyle 14$
C $\displaystyle 10$
D $\displaystyle 1/12$

Detailed Solution & Explanation

Since the four quantities

\displaystyle \frac{1}{4}

\displaystyle \frac{1}{6}

\displaystyle \frac{1}{10}

, and

\displaystyle \frac{1}{x}

are proportional:

\frac{1/4}{1/6} = \frac{1/10}{1/x}

Simplifying both fractions:

\frac{6}{4} = \frac{x}{10}

\frac{3}{2} = \frac{x}{10} \implies 2x = 30 \implies x = 15

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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If the four number 1/4,1/6,1/10, and 1/x\displaystyle 1/4, 1/6, 1/10, \text{ and } 1/x1/4,1/6,1/10, and 1/x are proportional, then what is the value of x\displaystyle xx?