IIM-K (BMSAT) 2025 (QA) PYQs

In a bowl containing 60 ml orange juice, 40 ml of water is poured. Thereafter, 100 ml of apple juice is poured to make a fruit punch. Madhu drinks 50 ml of this fruit punch and comments that the proportion of orange juice needs to be higher for better taste. How much orange juice should be poured into the fruit punch that remained, in order to bring up the level of orange juice to 50 percentage?

A mixture of alcohol and water contains 35% alcohol by weight. if 25 g water is added to such a mixture of 100 g, then the percentage of alcohol in the mixture is

In a room, there are $n$ persons whose average height is $160 \ \text{cm}$. If $m$ more persons, whose average height is $172 \ \text{cm}$, enter the room, then the average height of all persons in the room becomes $164 \ \text{cm}$. Then $m: n$ is