IIM-B (BBA-DBE) 2024 #2 (LR) PYQs

Two cars A and B start running from the opposite ends X and Y of a national highway with a length of 120 Km. Car A starts from end X and runs 30 Km straight. It then takes a right turn and runs 15 Km, then turns left and runs for 30 Km. Thereafter, the car turns towards the highway and reaches back on the highway. In the meantime, the car B has also started running from the other end Y of the highway, but due to a minor breakdown could run only for 35 Km along the highway till the time the car A has reached back on the highway. What is the distance between two cars at this point?

A square park $P Q R S$ of side $90 \mathrm{~m}$ is so located that its diagonal $P R$ is from north to south and the corner $Q$ is to the west of $S$. Radha and Mohan start walking along the sides from $Q$ and $R$ respectively in clockwise and anti-clockwise directions with speeds of $8 \mathrm{~km} / \mathrm{hr}$ and $10 \mathrm{~km} / \mathrm{hr}$. Where will they cross each other the second time ?

Raj starts from point A and walks 7kms towards West direction. He then takes a left turn and walks 11kms, turns left and walks 11kms, turns left and walks 7kms. He then takes the final left turn, walks 4kms and stops at point How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90 degrees turns only unless specified)