SATHEE: Quantitative Aptitude Ques 1456

Quantitative Aptitude Ques 1456

Question: A person observed that he required 30 s time to cross a circular ground along its diameter than to cover it once along the boundary. If his speed was 30 m/min, then the radius of the circular ground is $ ( take\pi =\frac{22}{7} ). $

Options:

A) 10.5 cm

B) 3.6 m

C) 5.5 m

D) 7.5 m

Show Answer

Answer:

Correct Answer: B

Solution:

1st the radius of circular field $ =r,m $ Speed of person in $ m/s=\frac{30}{60}=\frac{1}{2}m/s $ According to the question, $ \frac{2\pi r}{1/2}-\frac{2r}{1/2}=30 $
$ \Rightarrow $ $ 4\pi r-4r=30 $

$ \Rightarrow $ $ ( 4\times \frac{22}{7}-4 )r=30 $

$ \Rightarrow $ $ (12.5-4y)r=30 $

$ \Rightarrow $ $ (8.5)r=30 $

$ \therefore $ $ r=\frac{30}{8.5}=3.5m $

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