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Q.

Out of a group of swans  72 times the square root of the total number are playing on the shore of a pond. The two remaining ones are swimming in water. Find the total number of swans.


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a

16

b

17

c

18

d

19 

answer is A.

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Detailed Solution

Given that out of a group of swans, 72 times the square root of the total number are playing on the shore of a tank, the two remaining ones are swimming in the water.
Quadratic equation is expressed as a x 2 +bx+c=0   where x is the unknown variable and a,b,c are the coefficients.
Let us find the total no of swans.
Suppose the total number of swans be x and swans playing on the shore be 72x.
Since the two remaining ones are swimming in the water, the total no. of swans is
x= 7 2 x +2 ⇒x−2= 7 2 x ⇒ x−2 2 = 7 2 x 2 ⇒4 x 2 −4x+4 =49x.............. 1  
Solving the equation (1) by factorization method.
4 x 2 −64x−x+16=0 ⇒4x x−16 −1 x−16 =0 ⇒ x−16 4x−1 =0 ⇒x=16, 1 4  
The fraction value can be neglected as count cannot be a fraction.
Thus, the total number of swans is 16.
Hence the correct option is 1.
 
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