Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Ratios

Question:

If a : b = b : c, then what is the value of a6 : b6 ?

Options:

a3 : b3

b3 : ac

a3 : c3

a2 : b2

Correct Answer:

a3 : c3

Explanation:

⇒ \(\frac{a}{b}\) = \(\frac{b}{c}\)

⇒ ac = \( {b }^{ 2} \)

⇒ \( {a }^{ 6} \) : \( {b }^{ 6} \) = \( {a }^{ 6} \) : (\( {(ac)^3}\))

⇒ \( {a }^{ 6} \) : \( {a }^{ 3} \) \( {c }^{ 3} \)

\( {a }^{ 3} \) : \( {c }^{ 3} \)