Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Ratios

Question:

What is the proportion equivalent to $\frac{X}{Y} : \frac{Y}{Z} : \frac{X}{Z}$, if $X : Y : Z = 4 : 7 : 9$?

Options:

36 : 49 : 32

16 : 21 : 14

36 : 51 : 28

36 : 49 : 28

Correct Answer:

36 : 49 : 28

Explanation:

\(\frac{X}{Y}\) : \(\frac{Y}{Z}\) : \(\frac{X}{Z}\)

⇒ \(\frac{4}{7}\) : \(\frac{7}{9}\) : \(\frac{4}{9}\)

⇒ Taking LCM of denominators as 63, therefore

⇒ 9 x 4 : 7 x 7 : 7 x 4

36 : 49 : 28