The greatest ratio in each pair:13:25; 17:10

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The greatest ratio in each pair:

$13 : 25; 17 : 10$

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$13 : 25 < 17 : 10$

$13 : 15 > 17 : 10$

$12 : 24 > 17 : 10$

$12 : 24 < 17 : 10$

answer is B.

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Detailed Solution

$13 : 25 and 17 : 10$

$13 : 25 = \frac{13}{25} and 17 : 10 = \frac{17}{10}$

L.C.M. of 25 and 10 $= 50$

$= \frac{13}{25} \times 50 and \frac{17}{10} \times 50$

$= 13 \times 2 and 17 \times 5$

$= 26 and 85$

$∴ 26 < 85$

$\Rightarrow 13 : 25 < 17 : 10$

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