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SSC Sample Paper SSC CGL - Sample Paper-23

  • question_answer
    Out of a group of swans 7/2 times the square root of the number are swimming in the pool while the two remaining are playing outside the pool. What is the total number of swans?

    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             \[=\frac{49}{4}x={{x}^{2}}+4-4x\] \[\Rightarrow \]   \[4{{x}^{2}}-65x+16=0\] \[\Rightarrow \]   \[(4x-1)(x-16)=0\] \[\Rightarrow \]   \[x=16\]                                    \[\left( \therefore \ne \frac{1}{4} \right)\]


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