Question

Write true or false against each of the following statements: $21:6::35:10$

• A. True
• B. False

Answer 1

The correct option is A True

$\begin{array}{rcl}\mathrm{Ratio}\mathrm{of}21\mathrm{and}6& =& \frac{21}{6}\\ & & \mathrm{Dividing}\mathrm{numerator}\mathrm{and}\mathrm{denominator}\mathrm{by}3\\ & =& \frac{7}{2}\\ & =& 7:2\end{array}$

$\begin{array}{rcl}\mathrm{Ratio}\mathrm{of}35\mathrm{and}10& =& \frac{35}{10}\\ & & \mathrm{Dividing}\mathrm{numerator}\mathrm{and}\mathrm{denominator}\mathrm{by}5\\ & =& \frac{7}{2}\\ & =& 7:2\end{array}$

We get, $21:6=35:10$

Hence, $21:6::35:10$ is true.