Question : If $\frac{1}{2}: x:: x: \frac{1}{8}$, find the positive value of $x$.
Option 1: $\frac{1}{25}$
Option 2: $\frac{1}{12}$
Option 3: $\frac{1}{4}$
Option 4: $\frac{1}{11}$
Answer (1)
25th Jan, 2024
Correct Answer: $\frac{1}{4}$
Solution :
Given: $\frac{1}{2}: x:: x: \frac{1}{8}$
⇒ $x^2=\frac{1}{2}\times \frac{1}{8}$
⇒ $x^2=\frac{1}{16}$
⇒ $x=\frac{1}{4}$
Hence, the correct answer is $\frac{1}{4}$.
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