Direction Sense
About 7 min · Reasoning Ability and Problem Solving · English
Time worked out from the lesson's 572 words at 150 words a minute, plus a minute for each question.
Direction Sense is a core reasoning topic in SSC MTS Session-I, testing your ability to track movement on a map or compass and calculate final positions or shortest distances. Questions typically describe a person or object moving in various directions (North, South, East, West and their combinations) and ask you to determine the final position relative to the starting point or the shortest distance between two points.
Key ideas
- Cardinal and intercardinal directions: The four main directions are North (N), South (S), East (E), West (W). The four intercardinal (diagonal) directions are North-East (NE), North-West (NW), South-East (SE), South-West (SW). Each intercardinal direction is 45° from adjacent cardinal directions.
- Turning conventions: When a person "turns left" or "turns right," the new facing direction depends on their current facing. For example, if facing North and turning right, the new facing is East. If facing East and turning left, the new facing is North. Practice the 90° rotation rule mentally or on paper.
- Displacement vs distance traveled: Distance traveled is the total path length. Displacement is the straight-line distance from start to finish. Questions asking "how far is X from the starting point?" require displacement, not the sum of all movements.
- Net displacement method: Track horizontal (East-West) and vertical (North-South) displacements separately. East and North are positive; West and South are negative. The final position is (net horizontal, net vertical) from the origin.
- Pythagoras theorem: For movements involving only cardinal directions (N, S, E, W), the shortest distance = √(horizontal displacement² + vertical displacement²). This is essential for "distance from starting point" questions.
Watch out for
- Confusing left and right after turning: Students forget that "turn right" depends on current facing. Always re-check: if facing East, right turn = South, not West. Fix: Draw a quick compass rose and mark current facing before each turn.
- Adding distances instead of displacements: If a person walks 10 km North then 10 km South, the distance traveled is 20 km but displacement is 0 km. Fix: Only sum displacements (with signs), not total path lengths, for final position questions.
- Sign errors in displacement: Treating West as positive or forgetting that South is negative vertical. Fix: Write down your convention (E +x, W –x, N +y, S –y) at the top of your scratch work and apply consistently.
Quick reference
- Net displacement = (sum of East/West movements, sum of North/South movements); use signs.
- Shortest distance = √(horizontal² + vertical²) from Pythagoras.
- Right turn = 90° clockwise; left turn = 90° anticlockwise; about turn = 180°.
- Opposite pairs: N-S, E-W, NE-SW, NW-SE.
- Draw diagrams for multi-step movements—visual errors are easier to catch than mental math errors.
Check yourself: 3 questions
1. Rahul walks 5 km towards North, then turns left and walks 3 km. He then turns left again and walks 5 km. How far is he now from his starting point?
2. A man starts from his house and walks 40 m towards South. He then turns right and walks 30 m, then turns right again and walks 20 m, and finally turns left and walks 10 m. In which direction is he now from his starting point?
3. Priya walks 15 m towards East from her house, then turns left and walks 8 m, then turns right and walks 12 m, then turns right again and walks 8 m. What is the shortest distance between her current position and her house?
This lesson is cut from the topic's note, not rewritten. Fact-checked on 21 Oct 2026: an AI-assisted check of this note against cited sources; the errors it found were corrected that day. Some errors may remain. The questions are from Shishya's validated question bank.
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