Aptitude Question ID : 93632

If p : q : r = 1 : 2 : 4, then \sqrt{5p^{2}+q^{2}+r^{2}} is equal to :
[A]4r
[B]5p
[C]2q
[D]5

5p
\because  \frac{p}{1} = \frac{q}{2} = \frac{r}{4} = k (let)
=> p = k, q = 2k, r = 4k
\therefore \sqrt{5p^{2}+q^{2}+r^{2}} = \sqrt{5k^{2}+4k^{2}+16k^{2}}
=> \sqrt{25k^{2}}
=> 5k = 5p
Hence option [B] is the right answer.

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