JIPMAT 2023 (LR) PYQs

A boy runs 150 meters towards south from his house. He then turns left and runs 300 meters, again turns left and runs 350 meters. Now he turns right and runs 50 meters to reach the stadium. In which direction is the stadium from the house of the boy?

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 ?

Seven villages A, B, C, D, E, F, and G are situated as follows:

E is 2 km to the west of B. F is 2 km to the north of A. C is 1 km to the west of A. D is 2 km to the south of G. G is 2 km to the east of C. D is exactly in the middle of B and E.

How far is D from F (in km) as the crow flies?