If $\frac{1}{5}: \frac{1}{x}=\frac{1}{x}

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Simplification

Question:

If $\frac{1}{5}: \frac{1}{x}=\frac{1}{x}: \frac{1}{1.25}$, then the value of x will be:

Options:

1.5

2.5

0.5

3.5

Correct Answer:

2.5

Explanation:

1/5 : 1/x = 1/x : 1/1.25

x/5 = 1.25/x

x^2 = 1.25*5 = 6.25

x = 2.5

The correct answer is Option (2) → 2.5