One of a group of swans 7 2 times the square root of the number is playing on the shore of the pound...........

Quantitative Aptitude ( CCS) Number System

One of a group of swans, 7/2 times the square root of the number is playing on the shore of the pound. The two remaining are inside the pond. What is the total number of swans?

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Explanation:

Let the total no. of swans = x
No. of swans playing on the shore = 7/2 √x
Remaining swans = 2
A/Q x=7/2 √x+2
x-2 = 7/2 √x
2(x-2) = 7√x
4(x-2)² = 49x
4(x²-4x+4) = 49x
4x²-65+16 = 0
(x-16) (4x -1) = 0
x-16 = 0 or 4x-1 = 0
x = 16 or x = 1/4
Since, the no. of swans cannot be 1/4
∴ x = 16
The total no.of swans = 16

Hence, option 4 is the correct answer.