1)

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


A) 25 years

B) 30 years

C) 36 years

D) Cannot be determined

E) None of these

Answer:

Option D

Explanation:

Let the school ages of neelam and Shaan be 5x and 6x years respectively
Then $\frac{\frac{1}{3}\times5x}{\frac{1}{2}\times6x}= \frac{5}{9}$
$=>(\frac{1}{3}\times9\times5x)=(\frac{5}{2}\times6x) => 15=15$
Thus Shaan's age cannot be determined