Sudeep starts from Point A and drives 3 km towards south. He then takes a left turn, drives 4 km, turns right and drives 4 km. He then takes a left turn and drives 3 km. He takes a final left turn, drives 7 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again (all turns are 90° turns only unless specified)?

7 km; East

6 km; East

7 km; West

6 km; West

APEDIA

NTPC Graduate Tier 1

2025 • 05 Jun, 2025 • Shift-3

Sudeep starts from Point A and drives 3 km towards south. He then takes a left turn, drives 4 km, turns right and drives 4 km. He then takes a left turn and drives 3 km. He takes a final left turn, drives 7 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again (all turns are 90° turns only unless specified)?

Correct Answer

7 km; West

[Coordinate Mapping Method]: Let's plot Sudeep's path on an X-Y plane, assuming Point A is the origin (0,0).[Step-by-Step Trajectory]:1. Drives 3 km South -> Cu......

💡 Analysis & Explanation

Introduction ▼

[Coordinate Mapping Method]

Let's plot Sudeep's path on an X-Y plane, assuming Point A is the origin (0,0). ▼

[Step-by-Step Trajectory]

1. Drives 3 km South -> Current Position ▼

(0, -3).

2. Takes a left turn (now facing East) and drives 4 km -> Position ▼

(4, -3).

3. Takes a right turn (now facing South) and drives 4 km -> Position ▼

(4, -7).

4. Takes a left turn (now facing East) and drives 3 km -> Position ▼

(7, -7).

5. Takes a final left turn (now facing North) and drives 7 km -> Position ▼

(7, 0). This is Point P.

[Return Vector Calculation] ▼

Point P is located at coordinate (7, 0), directly 7 kilometers East of the starting Point A (0,0).

[Final Instruction] ▼

To return precisely back to Point A from Point P, Sudeep must drive 7 kilometers in the exact opposite direction, which is West.

Conclusion ▼

He needs to drive 7 km West.

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