IIMB 2001 (QA) PYQs

Three containers $A, B$ and $C$ are having mixtures of milk and water in the ratio of $1:5$, $3:5$ and $5:7$, respectively. If the capacities of the containers are in the ratio $5:4:5$ , find the ratio of milk to water, if the mixtures of all the three containers are mixed together.

The Rajdhani Express, without any wagons, can travel $36$ km per hour. The speed decreases by an amount that is proportional to the square root of the number of wagons attached. Given that with four wagons, its speed is $24$ km per hour, determine the maximum number of wagons the engine can pull while still being able to move.

A and B are the two alloys of copper and brass prepared by mixing metals in the proportion of $7:2$ and $7:11$ respectively. If the two alloys are mixed in the ratio $3:2$, and melted to form a third alloy called C, then the proportion of brass and copper in C will be,