Question

Write true or false against each of the following statement: $0.9:0.36::10:4$

• A. True
• B. False

Answer 1

The correct option is A True

If the two ratios are equal, they are said to be in proportion. For example, if $\mathrm{a}:\mathrm{b}::\mathrm{c}:\mathrm{d}$, then we have $\mathrm{Product}\mathrm{of}\mathrm{mean}\mathrm{terms}=\mathrm{Product}\mathrm{of}\mathrm{extreme}\mathrm{terms}$where first and the fourth terms are called extreme terms whereas second and third terms are called mean terms.

So, for $0.9:0.36::10:4$ to be in proportion, we will check whether $\mathrm{Product}\mathrm{of}\mathrm{mean}\mathrm{terms}=\mathrm{Product}\mathrm{of}\mathrm{extreme}\mathrm{terms}$

Here, $\mathrm{Product}\mathrm{of}\mathrm{mean}\mathrm{terms}=0.36\times 10=3.6$ and

$\mathrm{Product}\mathrm{of}\mathrm{extreme}\mathrm{terms}=0.9\times 4=3.6$

We observe that, $\mathrm{Product}\mathrm{of}\mathrm{mean}\mathrm{terms}=\mathrm{Product}\mathrm{of}\mathrm{extreme}\mathrm{terms}$

Hence, $0.9:0.36::10:4$ is true.