If 25 : x :: x : $\frac{81}{4}$, find th

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Target Exam

CUET

Subject

General Aptitude Test

Chapter

Numerical Ability

Topic

Ratios

Question:

If 25 : x :: x : $\frac{81}{4}$, find the value of x, if x > 0.

Options:

20.5

22.5

25.0

25.2

Correct Answer:

22.5

Explanation:

Here,

25 : x :: x : $\frac{81}{4}$

⇒ $ { x}^{2 } $ = 25 x $\frac{81}{4}$

⇒ x = $\sqrt {25 × 81/4 }$

⇒ x = 5 x $\frac{9}{2}$

⇒ x = 22.5.