State true or false $21 : 6 = 35 : 10$ .

True

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False

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Solution

The correct option is A True
Ratio and proportaions:
Consider the two ratios individually.
$\begin{array}{rcl} 21 : 6 & = & \frac{21}{6} \\ \Rightarrow & 21 : 6 = \frac{7}{2} \\ \Rightarrow & 21 : 6 = 7 : 2 \end{array}$
$\begin{array}{rcl} 35 : 10 & = & \frac{35}{10} \\ \Rightarrow & 35 : 10 = \frac{7}{2} \\ \Rightarrow & 35 : 10 = 7 : 2 \end{array}$
Therefore, $21 : 6 = 35 : 10$ .
Hence, statement is false.

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