Question : If $\sqrt {0.05 imes 0.5 imes a } = 0.5 imes 0.05 imes \sqrt b$, then $\frac{a}{b}$ is equal to:
Option 1: 0.0025
Option 2: 0.025
Option 3: 0.25
Option 4: 0.00025

Question

Question : If $\sqrt {0.05 imes 0.5 imes a } = 0.5 imes 0.05 imes \sqrt b$, then $\frac{a}{b}$ is equal to:

Option 1: 0.0025

Option 2: 0.025

Option 3: 0.25

Option 4: 0.00025

Team Careers360 · Accepted Answer

Correct Answer: 0.025

Solution : $\sqrt {0.05 imes 0.5 imes a } = 0.5 imes 0.05 imes \sqrt b$
On squaring both sides,
⇒ $ 0.05 imes 0.5 imes a = 0.5 imes 0.05 imes 0.5 imes 0.05 imes b$
⇒ $a = 0.5 imes 0.05 imes b$
⇒ $\frac{a}{b} = 0.5 imes 0.05 = 0.025$
Hence, the correct answer is 0.025.

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Question : If 0.05×0.5×a=0.5×0.05×b, then ab is equal to:Option 1: 0.0025Option 2: 0.025Option 3: 0.25Option 4: 0.00025

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Question : If $\sqrt{0.05 \times 0.5 \times a} = 0.5 \times 0.05 \times \sqrt{b}$ , then $\frac{a}{b}$ is equal to:
Option 1: 0.0025
Option 2: 0.025
Option 3: 0.25
Option 4: 0.00025