Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Simplification

Question:

If \(\sqrt[3]{x}=2y\). Then, the value of $\frac{y^3}{x}$ is _____

Options:

$\frac{1}{2}$

$\frac{2}{3}$

$\frac{1}{8}$

8

Correct Answer:

$\frac{1}{8}$

Explanation:

\(\sqrt[3]{x}=2y\)

Cubing on both sides

x = (2y)3

x = 8y3

\(\frac{y^3}{x}\) = \(\frac{1}{8}\)