An office opens at $10 \, AM$ and closes at $5 \, PM$. The lunch interval is for $30$ minutes. The ratio of the lunch interval to the total office hours is:

$A$ fraction which bears the same ratio to $\frac{1}{27}$ that $\frac{3}{11}$ does to $\frac{5}{9}$ is equal to

The ratio of three numbers is $3:4:5$ and the sum of their squares is $1250$. The sum of the numbers is:

The ratio between the present ages of $P$ and $Q$ is $5:7$ respectively. If the difference between $Q$'s present age and $P$'s age after $6$ years is $2$,what is the total of $P$'s and $Q$'s present ages (in years)?

The sides of a triangle are in the ratio $1/2 : 1/3 : 1/4$ and its perimeter is $156 \text{ cm}$. The length of the largest side is (in $\text{cm}$):

The railway fares of air-conditioned sleeper class and ordinary sleeper class are in the ratio $4:1$. The number of passengers who travelled by air-conditioned sleeper and ordinary sleeper classes were in the ratio $3:25$. If the total collection was ₹ $37,000$,how much did air-conditioned sleeper passengers pay (in ₹) (in $,000$)?