Xavier Aptitude Test 2013 Paper

Question : 57 of 121

Marks: +1, -0

At the centre of a city’s municipal park there is a large circular pool. A fish is released in the water at the edge of the pool. The fish swims north for 300 feet before it hits the edge of the pool. It then turns east and swims for 400 feet before it hits the edge of the pool. It then turns east and swims for 400 feet before hitting the edge again. What is the area of the pool?

62500 π
125000 π
250000 π
500000 π
Cannot be answered from the given data

Validate

Solution:

(a)

The path of the fish shown in above figure where 500 is the diameter of circular pool.
∴ Area of pool = πr

^{2}

= π(250)

^{2}

= 62500 π
Hence, the correct answer is option (a).

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