Ratio, Proportion, Indices, LogarithmMCQMTP May 18Question 812 of 302
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P, Q and R three cities. The ratio of average temperature between P and Q is $11:12$ and that between P and R is $9:8$. The ratio between the average temperature Q and R

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

✅ Option d — None of these

All Options:

  • A$22:27$
  • B$27:22$
  • C$32:33$
  • DNone of these

Detailed Solution & Explanation

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

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.

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Exam Strategy Tip

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

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