ABC26GN3025 · Ratio and Proportion
Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · Marks: · Difficulty:
$x, y, z, u$ are real numbers such that $x: y=y: z$ $=z: u$ and $x: u=64: 27$. The value of $x: z$ is
(a)64 : 27
(b)16 : 9
(c)4 : 3
(d)3 : 4
Answer
Explanation
Let $\frac{x}{y}=\frac{y}{z}=\frac{z}{u}=k$. Now, $\frac{x}{u}=\frac{64}{27} \Rightarrow \frac{x}{y}\times\frac{y}{z}\times\frac{z}{u}=\frac{64}{27}$ $$\Rightarrow k^3=\left(\frac{4}{3}\right)^3 \Rightarrow k=\frac{4}{3}.$$ So, $x:y=y:z=z:u=4:3$. $$\therefore \frac{x}{z}=\frac{x}{y}\times\frac{y}{z}=\frac{4}{3}\times\frac{4}{3}=\frac{16}{9}.$$
Explanation as extracted from the printed page; notation may be imperfect.
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