Ratio, Proportion, Indices, LogarithmMCQPYQ Sep 24Question 811 of 302
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The mean proportional between $12x^2\displaystyle and $27y^2 is:

Select Your Answer (Keyboard: A, B, C, D)
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Correct Answer

✅ Option b — $18xy$

All Options:

  • A$81xy$
  • B$18xy$
  • C$8xy$
  • D$19.5xy$

Detailed Solution & Explanation

The mean proportional between two algebraic terms a\displaystyle a and b\displaystyle b is defined as a⋅b\displaystyle a⋅b\displaystyle \sqrt{a \cdot b}.
For the terms $12x^2\displaystyle and $27y^2, we calculate:
Mean Proportional=12x2×27y2\displaystyle \text{Mean Proportional} = \sqrt{12x^2 ×\displaystyle \times 27y^2}
=324x2y2=18xy= 324x2y2=18xy\displaystyle \sqrt{324 x^2 y^2} = 18xy

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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