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Bunuel
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Bunuel
√5 is what percent of √125?

A. 4%
B. 5%
C. 20%
D. 24%
E. 25%
Solution:

  • Questions like this need translation
  • Let the required answer be x
  • Thus we can translate the question statement as \(\sqrt{5}=x\%\) (x in place of 'what') of \(\sqrt{125}\)
    \(⇒\sqrt{5}=\frac{x}{100} \times \sqrt{125}\)
    \(⇒x=\frac{\sqrt{5}}{\sqrt{125}}\times 100\)
    \(⇒x=\frac{\sqrt{5}}{5\times \sqrt{5}} \times 100\)
    \(⇒x=20\%\)

Hence the right answer is Option C
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√5 = 5^(1/2) , √125 = 5^(3*1/2)=5^(3/2)
√5/√125 = 5^(1/2-3/2)=5(-1)=1/5
choose C.
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√5 is what percent of √125?

Solution:

√125= √5x5x5= √5^2 x 5 = 5√5

Let y% of √125 be √5. So,

√125 x y/100 = √5

5√5 x y/100 = √5

(√5 will get cancelled on both sides)

5y/100 = 1
y=20

Hence 20% is correct. Option C is the answer.

All the Best!

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