P, Q and R three cities. The ratio of average temperature P and Q is $11:12 and that between P and R is $9:8 . The ratio between the average temperature Q and R .

Option b: $27:22$. Solution: We are given the following ratios of average temperatures: 1. Between P and Q : P/Q = 11/12 Q/P = 12/11 2. Between P and R : P/R = 9/8 We need to find the ratio between the average temperatures of Q and R (i.e., Q/R ): Q/R = Q/P × P/R Substitute the values of the ratios: Q/R = 12/11 × 9/8 Multiply the fractions: Q/R = 12 × 9/11 × 8 = 108/88 Divide both numerator and denominator by their greatest common divisor, which is 4 : Q/R = 27/22 = 27:22 This matches Option B. Hence, Option B is the correct answer.

P, Q and R three cities. The ratio of average temperature P and Q is $11:12 and that between P and R is $9:8 . The ratio between the average temperature Q and R .

The correct answer is Option b: $27:22$. We are given the following ratios of average temperatures: 1. Between P and Q : P/Q = 11/12 Q/P = 12/11 2. Between P and R : P/R = 9/8 We need to find the ratio between the average temperatures of Q and R (i.e., Q/R ): Q/R = Q/P × P/R Substitute the values of the ratios: Q/R = 12/11 × 9/8 Multiply the fractions: Q/R = 12 × 9/11 × 8 = 108/88 Divide both numerator and denominator by their greatest common divisor, which is 4 : Q/R = 27/22 = 27:22 This matches Option B. Hence, Option B is the correct answer.

Ratio, Proportion, Indices, LogarithmMCQMTP June 24 Series IIIQuestion 868 of 302

All Questions

$\displaystyle P, Q$ and $\displaystyle R$ three cities. The ratio of average temperature $\displaystyle P$ and $\displaystyle Q$ is $11:12$ and that between $P $\displaystyle and$ R $\displaystyle is $9:8$ . The ratio between the average temperature $\displaystyle Q$ and $\displaystyle R$ .

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

For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option b — $27:22$

All Options:

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

Detailed Solution & Explanation

We are given the following ratios of average temperatures:
1. Between

\displaystyle P

and

\displaystyle Q

\frac{P}{Q} = \frac{11}{12} ⟹ \frac{Q}{P} = \frac{12}{11}

2. Between

\displaystyle P

and

\displaystyle R

\frac{P}{R} = \frac{9}{8}

We need to find the ratio between the average temperatures of

\displaystyle Q

and

\displaystyle R

(i.e.,

\displaystyle

\frac{Q}{R} = \frac{Q}{P} \times \frac{P}{R}

Substitute the values of the ratios:

\frac{Q}{R} = \frac{12}{11} \times \frac{9}{8}

Multiply the fractions:

\frac{Q}{R} = \frac{12 \times 9}{11 \times 8} = \frac{108}{88}

Divide both numerator and denominator by their greatest common divisor, which is

\displaystyle 4

\frac{Q}{R} = \frac{27}{22} = 27 : 22

This matches **Option B**.
Hence, **Option B** 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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P,Q\displaystyle P, QP,Q and R\displaystyle RR three cities. The ratio of average temperature P\displaystyle PP and Q\displaystyle QQ is $11:12$ and that between $Pand\displaystyle andandR\displaystyle is &#36;9:8. The ratio between the average temperature Q\displaystyle QQ and R\displaystyle RR.