ABC26GN2992 · Ratio and Proportion

Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · Marks: · Difficulty:

If the ratio between the ages of $P$ and $Q$ is 2 : 3 and that between the ages of $Q$ and $R$ is 4 : 5, then the ratio between the ages of $P$ and $R$ is

(a)3 : 4

(b)3 : 5

(c)5 : 6

(d)8 : 15

Answer

Answer (as printed): D

Explanation

$\frac{P}{Q}=\frac{2}{3}$ and $\frac{Q}{R}=\frac{4}{5} \Rightarrow \frac{P}{R}=\left(\frac{P}{Q} \times \frac{Q}{R}\right)$ $$=\frac{2}{3} \times \frac{4}{5}=\frac{8}{15} \Rightarrow P: R=8: 15 .$$

Explanation as extracted from the printed page; notation may be imperfect.

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