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UPSC CDS II 2024 Math Paper

Question : 74 of 100

Marks: +1, -0

What is the square root of 64%?

0.08%
0.8%
8%
80%

Solution:

Concept:

The square root of a percentage is computed by taking the square root of the fraction representing the percentage and then converting the result back to a percentage.

Explanation:

Write

64\%

as a fraction:

\frac{64}{100}

Take the square root:

\sqrt{\frac{64}{100}} = \frac{\sqrt{64}}{\sqrt{100}} = \frac{8}{10} = 0.8

Convert

0.8

to a percentage:

0.8 \times 100\% = 80\%

Therefore, the square root of

64\%

80\%

Answer:

80\%

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