The ratio between the ages of Neelam and Shiny is 5 : 6 respectively. If the ratio between the one-third age of Neelam and half of Shiny's age is 5 : 9, then what is Shiny's age = ?

A. 25 years

B. 30 years

C. 36 years

D. Cannot be determined

E. None of these

Answer: Option D

Solution(By Examveda Team)

Let Neelam's age be 5x years and
Shiny's age be 6x years
$$\eqalign{ & \left( {\frac{1}{3} \times 5x} \right):\left( {\frac{1}{2} \times 6x} \right) = 5:9 \cr & \Rightarrow \frac{{5x}}{{3 \times 3x}} = \frac{5}{9} \cr} $$
Thus, Shiny's age cannot be determined