Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Simplification

Question:

Find the value of \(\left(\sqrt[3]{ \frac{125}{27} } - \sqrt[3]{ \frac{512}{729} }\right) ÷ \sqrt[3]{ \frac{64}{5832} }\):

Options:

2.5

3.5

4.5

5.5

Correct Answer:

3.5

Explanation:

\(\left(\sqrt[3]{ \frac{125}{27} } - \sqrt[3]{ \frac{512}{729} }\right) ÷ \sqrt[3]{ \frac{64}{5832} }\)

= (5/3 - 8/9) / (4/18)

= (7/9) / (4/18)

= 7/2 =3.5