Question

Find the ratio compounded of the duplicate ratio of $5:6$ , the reciprocal ratio of $25:42$ and the sub-triplicate ratio of $216:343$.

• A. $1:1$
• B. $2:1$
• C. $1:2$
• D. $2:2$

Answer 1

The correct option is A $1:1$

Since, duplicate ratio of $5:6=5^2:6^2=25:36,$
Reciprocal ratio of $25:42=\frac{1}{25}:\frac{1}{42}=42:25$
and, sub-triplicate ratio of $216:343=∛216:∛343=6:7$
Therefore, the required compounded ratio
$=(25\times 42\times 6):(36\times 25\times 7)$
$=\frac{25\times 42\times 6}{36\times 25\times 7}=1:1$