Question

Write true or false against each of the following statements: $12:18::28:12$

• A. True
• B. False

Answer 1

The correct option is B False

$\begin{array}{rcl}\mathrm{Ratio}\mathrm{of}12\mathrm{and}18& =& \frac{12}{18}\\ & & \mathrm{Dividing}\mathrm{numerator}\mathrm{and}\mathrm{denominator}\mathrm{by}6\\ & =& \frac{2}{3}\\ & =& 2:3\end{array}$

$\begin{array}{rcl}\mathrm{Ratio}\mathrm{of}28\mathrm{and}12& =& \frac{28}{12}\\ & & \mathrm{Dividing}\mathrm{numerator}\mathrm{and}\mathrm{denominator}\mathrm{by}4\\ & =& \frac{7}{3}\\ & =& 7:3\end{array}$

We get, $12:18\ne 28:12$

Hence, $12:18::28:12$ is false.