ABC26GN3000 · Ratio and Proportion
Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · Marks: · Difficulty:
If $A: B=\frac{1}{2}: \frac{1}{3}$ and $B: C=\frac{1}{2}: \frac{1}{3}$, then $A: B: C$ is equal to
(a)1 : 2 : 6
(b)2 : 3 : 3
(c)3 : 2 : 6
(d)9 : 6 : 4
Answer
Explanation
$A: B=\frac{1}{2}: \frac{1}{3}=3: 2$, $$\begin{aligned} & B: C=\frac{1}{2}: \frac{1}{3}=3: 2=\left(3 \times \frac{2}{3}\right):\left(2 \times \frac{2}{3}\right)=2: \frac{4}{3} . \\ & \Rightarrow A: B: C=3: 2: \frac{4}{3}=9: 6: 4 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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