A) 4
B) 8
C) 12
D) 16
Correct Answer: D
Solution :
Let total number of swans \[=x\] Number of swans swimming in the pool \[=\frac{7}{2}\sqrt{x}\] Remaining swans = 2 By given condition, \[\frac{7}{2}\sqrt{x}+2=x\] \[\Rightarrow \] \[\frac{7}{2}\sqrt{x}=x-2\] On squaring both sides, we get \[=\frac{49}{4}x={{x}^{2}}+4-4x\] \[\Rightarrow \] \[4{{x}^{2}}-65x+16=0\] \[\Rightarrow \] \[(4x-1)(x-16)=0\] \[\Rightarrow \] \[x=16\] \[\left( \therefore \ne \frac{1}{4} \right)\]You need to login to perform this action.
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