2 / √5, 3 / 5, 4 / 5√5, 5 / 25,(.....) - Number Series - Series Completion - Verbal Reas

In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces. - 2 / √5, 3 / 5, 4 / 5√5, 5 / 25,(.....)

A. 6 / 5?5

B. 6 / 25?5

C. 6 / 125

D. 7 / 25

E. None of the above

Answer: B. 6 / 25?5

Clearly, the numerators of the given fraction are consecutive natural numbers.
So, the numerator of the missing fraction should be 6.
Also, the denominator of each fraction is multiplied by

√5 to obtain the denominator of the next fraction.
So, the denominator of the missing fraction should be 25√5.

Posted in: Number Series - Series Completion - Verbal Reasoning