Question

Ashok had two vessels which contain $720$ ml and $405$ ml of milk respectively. Milk in each vessel was poured into glasses of equal capacity to their brim. Find the minimum number of glasses which can be filled with milk

• A. $15$
• B. $20$
• C. $25$
• D. $30$

Answer 1

The correct option is C $25$

The least of number glasses used will have the quantity of milk equal to the HCF of $720$ and $405$
Prime factorisation of $720=2^4\times 3^2\times 5$
Prime factorisation of $405=3^4\times 5$
So,HCF of $720,405=3^2\times 5=45$
So with $720ml$ of milk, number of glasses filled $=\frac{720}{45}=16$
And with $405ml$ of milk, number of glasses filled $=\frac{405}{45}=9$
So, total glasses filled $=16+9=25$