Question

Two equal glasses are respectively $\frac{1}{4}$ and $\frac{1}{3}$ full of milk. They are then filled up with water and contents mixed in a tumbler. The ratio of milk and water in the tumbler is:

• A. 3 : 11
• B. 7 : 17
• C. 9 : 23
• D. 11 : 23
• E. None of these

Answer 1

The correct option is B 7 : 17

Quantity of milk in tumbler $=\frac{1}{4}+\frac{1}{3}$
$=\frac{7}{12}$
Quantity of water in tumbler
$=(1-\frac{1}{4})+(1-\frac{1}{3})=\frac{3}{4}+\frac{2}{3}=\frac{17}{12}$
So, ratio of milk and water $=\frac{7}{12}:\frac{17}{12}$
=7 : 17.