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NTPC Graduate Tier 1 2025 Shift-1 📅 06 May, 2025

Fardeen starts from point A and drives 13 km towards west. He then takes a left turn, drives 7 km, turns right and drives 6 km. He then takes a left turn and drives 8 km. He takes a final left turn, drives 19 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 degrees turns only unless specified)?

A
10 km north
B
15 km south
C
12 km south
D
15 km north
Result Summary
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NTPC Graduate Tier 1
2025 • 06 May, 2025 • Shift-1
Fardeen starts from point A and drives 13 km towards west. He then takes a left turn, drives 7 km, turns right and drives 6 km. He then takes a left turn and drives 8 km. He takes a final left turn, drives 19 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 degrees turns only unless specified)?
Correct Answer
15 km north
Coordinate Mapping Method: Assume the journey's starting point A is located precisely at the origin (0,0). His initial drive of 13 km straight west repositions ......
Ref/Book : NTPC Graduate Tier 1 2025
Ref. Subject Reasoning
Chapter -
Ref. Topic Direction Sense
Pg. No -
💡 Analysis & Explanation
Coordinate Mapping Method ▼
Assume the journey's starting point A is located precisely at the origin (0,0). His initial drive of 13 km straight west repositions him to the coordinate (-13, 0).
Tracing the Navigational Path ▼
He executes a left turn (now facing South) for 7 km, placing him at (-13, -7). A subsequent right turn (now facing West) for 6 km shifts him horizontally to (-19, -7). Another left turn (facing South again) for an 8 km stretch takes him down to (-19, -15).
Locating the Final Position ▼
His culminating maneuver is a left turn (now facing East) driving 19 km, which brings him perfectly to point P at the coordinate (0, -15), aligning him in a direct vertical line with his original starting point.
Conclusion ▼
Consequently, from his current position at P (0, -15), he must travel strictly upwards (North) for a direct distance of 15 km to successfully return to origin A (0,0).
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