Ratio, Proportion, Indices, LogarithmMCQPYQ Sept 25Question 4103 of 305
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The ratio of 1235:13140\displaystyle \frac{1}{2}\sqrt{35} : \frac{1}{3}\sqrt{140} is equal to the ratio

Options

A4:3
B2:1
C5:4
D3:4
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Correct Answer

✅ Option d — 3:4

All Options:

  • A4:3
  • B2:1
  • C5:4
  • D3:4

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Detailed Solution & Explanation

We need to find the ratio: R=123513140R = \frac{\frac{1}{2}\sqrt{35}}{\frac{1}{3}\sqrt{140}}
First, simplify the term 140\displaystyle \sqrt{140}: 140=4×35=4×35=235\sqrt{140} = \sqrt{4 \times 35} = \sqrt{4} \times \sqrt{35} = 2\sqrt{35}
Substitute this value back into the ratio: R=123513×235R = \frac{\frac{1}{2}\sqrt{35}}{\frac{1}{3} \times 2\sqrt{35}}
Canceling the common factor 35\displaystyle \sqrt{35} from both the numerator and the denominator: R=1223R = \frac{\frac{1}{2}}{\frac{2}{3}} R=12×32=34R = \frac{1}{2} \times \frac{3}{2} = \frac{3}{4}
Thus, the ratio is equal to 3:4\displaystyle 3:4.
Hence, **Option D** is the correct answer.

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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