ABC26GN2994 · Ratio and Proportion
Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: 2007 · Marks: · Difficulty:
If $A: B=2: 3, B: C=2: 4$ and $C: D=2: 5$, then $A: D$ is equal to
(a)1 : 5
(b)2 : 5
(c)3 : 5
(d)2 : 15
Answer
Explanation
$\frac{A}{B}=\frac{2}{3}, \frac{B}{C}=\frac{2}{4}, \frac{C}{D}=\frac{2}{5} \Rightarrow \frac{A}{D}=\left(\frac{A}{B} \times \frac{B}{C} \times \frac{C}{D}\right)$ $$=\frac{2}{3} \times \frac{2}{4} \times \frac{2}{5}=\frac{2}{15} \Rightarrow A: D=2: 15 .$$
Explanation as extracted from the printed page; notation may be imperfect.
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