MAT Exam 2023 Paper

Concept:Track the path using directions on a coordinate grid.Only the net east-west displacement determines the final distance from the start.Explanation:Take the starting point as $(0,0)$, with north as $+y$ and east as $+x$.After walking 20 m north: position is $(0,20)$.Turning right means facing east; walking 30 m gives $(30,20)$.Turning right again means facing south; walking 35 m gives $(30,-15)$.Turning left means facing east; walking 15 m gives $(45,-15)$.Finally, turning left means facing north; walking 15 m gives $(45,0)$.The final point is 45 m to the east of the starting point.So the net displacement is $45\ \mathrm{m}$ East.Answer:Manik is $45\ \mathrm{m}$ East from the starting point.Therefore, the correct option is D.