Quantitative Aptitude Ques 2461

Question: .

A horse takes $ 2\frac{1}{2},s $ to complete a round around a circular field. If the speed of the horse was 66 m/s, then the radius of the field is, $ [ take,\pi =\frac{22}{7} ] $

Options:

A) 25.62 m

B) 26.52 m

C) 25.26 m

D) 26.25 m

Show Answer

Answer:

Correct Answer: D

Solution:

  • Circumference of circular field $ =66\times \frac{5}{2}=33\times 5=165,m $ We know that, circumference $ =2\pi r $

$ \Rightarrow $ $ 165=2\times \frac{22}{7}\times r $ [where, r is the radius of field]

$ \Rightarrow $ $ r=\frac{165\times 7}{2\times 22}=\frac{105}{4} $

$ \Rightarrow $ $ r=26.25m $