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Question 19

In the following fraction series, two fractions have been put within brackets. Study the series carefully and select the correct alternative with respect to the series.

$$\frac{2}{\sqrt{5}},\frac{4}{5},\frac{6}{5\sqrt{5}},(\frac{8}{25}),\frac{10}{25\sqrt{5}},\frac{12}{125},(\frac{14}{125\sqrt{5}})$$

Numerator is in logic series of +2 gaping of all numbers

2+2=4, 4+2=6, (6+2=8), 8+2=10, 10+2=12, (12+2=14)... Hence numerator has no mistake.

Let's see denominator series.. multiply every denominator with $$ \sqrt{5} $$

$${\sqrt{5}},{5},({5\sqrt{5}},{25}),{25\sqrt{5}},{125},({125\sqrt{5}})$$ ... Hence Denominator has no mistake

Hence bracket series is also correct. 

Option D will be appropriate option.

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