Practice | Hashtable

Home > Practice > Arithmetic Aptitude > Ratio and Proportion > Miscellaneous

1. If x = $\frac{1}{3}$ y and y = $\frac{1}{2}$ z, then x : y : z is equal to

A. 1 : 2 : 6

B. 1 : 3 : 6

C. 2 : 4 : 6

D. 3 : 2 : 1

Solution:

\begin{aligned} x = \frac{1}{3} y = \frac{1}{3} \times \frac{1}{2} z = \frac{1}{6} z \\ L e t x = \frac{1}{3} y = \frac{1}{6} z = k \\ Then, \\ x = k, y = 3 k, z = 6 k \\ ∴ x : y : z = k : 3 k : 6 k \\ = 1 : 3 : 6 \end{aligned}

You must login to add comments. Login now.