Subject: General Aptitude · Chapter: Problems on Numbers · Exam: 2006 · Marks: · Difficulty:
Three numbers are in the ratio of 3 : 4 : 6 and their product is 1944. The largest of these numbers is
(a)6
(b)12
(c)18
(d)None of these
Answer
Answer (as printed): C
Explanation
Let the numbers be $3 x, 4 x$ and $6 x$. Then, $3 x \times 4 x \times 6 x=1944$ $$\begin{aligned} & \Leftrightarrow 72 x^{3}=1944 \Leftrightarrow x^{3}=27 \\ & \Leftrightarrow x=3 . \end{aligned}$$ ∴ Largest number $=6 x=18$.
Explanation as extracted from the printed page; notation may be imperfect.