Ratio, Proportion, Indices, LogarithmMCQMTP May 18Question 812 of 305
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P, Q and R three cities. The ratio of average temperature between P and Q is 11:12\displaystyle 11:12 and that between P and R is 9:8\displaystyle 9:8. The ratio between the average temperature Q and R

Options

A22:27\displaystyle 22:27
B27:22\displaystyle 27:22
C32:33\displaystyle 32:33
DNone of these
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Correct Answer

✅ Option d — None of these

All Options:

  • A22:27\displaystyle 22:27
  • B27:22\displaystyle 27:22
  • C32:33\displaystyle 32:33
  • DNone of these

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Detailed Solution & Explanation

Let TP,TQ,TR\displaystyle T_P, T_Q, T_R represent the temperatures of cities P,Q,R\displaystyle P, Q, R respectively.
We are given two ratios:
TPTQ=1112  ⟹  TQ=1211TP\frac{T_P}{T_Q} = \frac{11}{12} \implies T_Q = \frac{12}{11} T_P
TPTR=98  ⟹  TR=89TP\frac{T_P}{T_R} = \frac{9}{8} \implies T_R = \frac{8}{9} T_P
We want to find the ratio between the average temperatures of Q\displaystyle Q and R\displaystyle R:
TQTR=1211TP89TP\frac{T_Q}{T_R} = \frac{\frac{12}{11} T_P}{\frac{8}{9} T_P}
=1211×98=3×911×2=2722= \frac{12}{11} \times \frac{9}{8} = \frac{3 \times 9}{11 \times 2} = \frac{27}{22}
Thus, the ratio is 27:22\displaystyle 27 : 22.

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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