Dev, Kumar, Nilesh, Ankur and Pintu are standing facing North in a playground…
2025
Dev, Kumar, Nilesh, Ankur and Pintu are standing facing North in a playground as given below: Kumar is 40 m to the right of Ankur. Dev is 60 m to the south of Kumar. Nilesh is 25 m to the west of Ankur. Pintu is 90 m to the north of Dev. Which one is to the North-East of the person who is to the left of Kumar?
- A.
Dev
- B.
Nilesh
- C.
Ankur
- D.
Pintu
Attempted by 1 students.
Show answer & explanation
Correct answer: D
Concept: In a distance-and-direction problem, assign each person a coordinate on an East-West / North-South grid using the stated distances and directions, then read off relative position (which quadrant) between any two points from the sign of their East-West and North-South differences. When a person faces North, 'right' means East and 'left' means West.
Application:
Take Ankur as the origin (0, 0), where the first coordinate is the East-West position and the second is the North-South position.
Kumar is 40 m to the right of Ankur (facing North, right = East), so Kumar is at (40, 0).
Dev is 60 m to the south of Kumar, so Dev is at (40, -60).
Nilesh is 25 m to the west of Ankur, so Nilesh is at (-25, 0).
Pintu is 90 m to the north of Dev, so Pintu is at (40, -60 + 90) = (40, 30).
Since Kumar is 40 m to the right of Ankur, the two are stated as a right-left pair in the question -- Ankur is the person 'to the left of Kumar' referred to here (the stated relation, not simply any point lying west of Kumar). So the question asks who is North-East of Ankur, i.e., who has BOTH a positive East-West and a positive North-South value relative to Ankur's (0, 0).
Checking each person's coordinates against Ankur's (0, 0): Dev (40, -60) is east but south -- that is the south-east direction, not north-east. Nilesh (-25, 0) is west, not east at all. Pintu (40, 30) is both east and north of Ankur -- that is exactly the north-east direction.
Cross-check:
An independent check: Pintu's north-south value equals Dev's north-south value plus 90, and Dev's equals Kumar's north-south value (0) minus 60, so Pintu's north-south value is 0 - 60 + 90 = 30, positive (north of Ankur's line), while Pintu's east-west value stays at Kumar's 40 (positive, east of Ankur) throughout, since Pintu's move was purely north-south. Both signs positive confirms Pintu sits in the north-east direction from Ankur.
Hence, Pintu is to the North-East of Ankur, the person to the left of Kumar.