Question

State whether the given statement is true or false :

$12:18=28:56$

• A. True
• B. False

Answer 1

The correct option is B False

To check whether the given ratios are in proportion :

We know that if $a:b::c:d$, then product of middle terms is equal to the product of extreme terms.

Here, $18$ and $28$ are middle terms and $12$ and $56$ are the extreme terms.

Product of middle terms $=18\times 28=504$

Product of extreme terms $=12\times 56=672$

So, product of middle terms is not equal to the product of extreme terms.

Therefore, $12:18\bcancel{=}28:56$

Hence, the given statement is false.