Question 20

State whether the given statements are true (T) or false (F).

15m : 40m = 35m : 65m

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Solution

Given, 15m : 40m = 35m : 65m
$\Rightarrow \frac{15}{40} = \frac{35}{65}$
Simplest form of $\frac{15}{40} = \frac{3}{8}$ [on dividing numerator and denominator by 5]
Simplest form of $\frac{35}{65} = \frac{7}{13}$ [on dividing numerator and denominator by 5]
Simplest form of both the ratios are not equal as $\frac{3}{8} \neq \frac{7}{13}$ .

Hence, the given statement is false.

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