Latest CMAT Aptitude Question SOLUTION: Out of a group of swans, 72 times the square root of the total number of swans are playing on the shore of the pond. The remaining two swans are inside the pond. Which of the follo

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(#M40033306) CMAT Numerical Ability question quanta Keep an EYE

Out of a group of swans, 72 times the square root of the total number of swans are playing on the shore of the pond. The remaining two swans are inside the pond. Which of the following can be the total number of swans?
Option
(a) 12
(b) 10
(c) 14
(d) 16

Asked In CMAT AVIJIT (10 years ago)

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Ranjith  (5 years ago)

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

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