Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-6

The areas of two circular fields are in the ratio of 25: 64, respectively. If the radius of the latter is 16 m, then what is the radius of the former?                                                                 [SBI Associate (Clerk) 2014]

A) 14 m

B) 10 m

C) 6 m

D) 18 m

E) 8 m

Correct Answer: B

Solution :

Let the radius of the former be r.

Then, \[\frac{\pi {{r}^{2}}}{\pi {{.16}^{2}}}=\frac{25}{64}\]\[\Rightarrow \]\[r=\frac{5}{8}\times 16=10m\]