If $\frac{1}{2}: x:: x: \frac{1}{8}$, fi

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Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Ratios

Question:

If $\frac{1}{2}: x:: x: \frac{1}{8}$, find the positive value of x.

Options:

$\frac{1}{25}$

$\frac{1}{12}$

$\frac{1}{4}$

$\frac{1}{11}$

Correct Answer:

$\frac{1}{4}$

Explanation:

⇒ $\frac{1}{2}$ : x :: x : $\frac{1}{8}$

⇒ $ { x}^{2 } $ = $\frac{1}{2}$ x $\frac{1}{8}$

⇒ $ { x}^{2 } $ = $\frac{1}{16}$

⇒ x = $\frac{1}{4}$