Direction

🟢 Lite — Quick Review (1h–1d)

Rapid summary for last-minute revision before your exam.

Direction — Key Facts for SSC CGL • There are 4 cardinal directions: North (N), South (S), East (E), West (W) and 4 intercardinal directions: NE, SE, SW, NW. • Turning right/clockwise and left/anticlockwise by 90°: Right from North → East; Left from North → West. • Turning by 45° (for intercardinal): Right from NE → SE; Left from NE → NW. • Turning 180° = reverse direction (North ↔ South, East ↔ West). • Left-Right Rule: When a person turns left, their right-hand side stays fixed relative to their original orientation. • Shadow-based direction: In the morning, shadows fall towards the West. At noon, shadows fall towards the South (in India). In the evening, shadows fall towards the East.

⚡ Exam Tip: Draw a small compass diagram immediately. Mark the starting direction, each turn (L/R), and the number of steps. Re-draw from the starting point if confused. Most SSC CGL direction questions involve a person walking a path with multiple turns — always track facing direction separately from position.

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🟡 Standard — Regular Study (2d–2mo)

Standard content for students with a few days to months.

Direction — SSC CGL Study Guide

Core Concept: Direction questions test your ability to track position and orientation after a sequence of movements and turns. Two things must always be tracked: (1) the person’s final position relative to start, and (2) the person’s facing direction at the end (needed if another turn or shadow question follows).

Key Principles:

• After every right turn: Rotate your facing direction 90° clockwise.
• After every left turn: Rotate your facing direction 90° anticlockwise.
• After two right turns (180°): Face the opposite direction.
• After four right turns (360°): Return to the original facing direction.

Worked Example 1: Rahul starts facing North. He walks 10 m, turns right, walks 15 m, turns left, walks 8 m. How far is he from the starting point and in which direction?

• Start: North → Turn right → Face East → Walk 15 m → Turn left → Face North → Walk 8 m
• Position: North 10+8 = 18 m, East 15 m
• Distance from start: $\sqrt{18^2 + 15^2} = \sqrt{324 + 225} = \sqrt{549} ≈ 23.43$ m
• Direction: $\tan θ = 15/18 = 0.833$; $θ ≈ 40°$ East of North → Northeast, ~23.4 m

Worked Example 2: Priya starts facing South. She turns left, walks 12 m, turns right, walks 9 m, turns right, walks 12 m. Where is she now?

• South → Left → Face East → Walk 9 m → Right → Face South → Walk 12 m
• She ends 9 m East and 12 m South of starting point.

Worked Example 3 (Multiple Turns): A man starts from point A facing North. He turns right, then right again, then left. Which direction is he facing now?

• North → Right (East) → Right (South) → Left (East) → East

Common Student Mistakes: Confusing the facing direction with the direction of movement (the person may walk East while facing North), and forgetting that turns accumulate cumulatively through the sequence.

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🔴 Extended — Deep Study (3mo+)

Comprehensive coverage for students on a longer study timeline.

Direction — Comprehensive SSC CGL Notes

Theoretical Foundation: Direction reasoning combines spatial orientation with sequential logic. SSC CGL consistently features 2-3 direction questions in Tier-I (Reasoning) and 1-2 in Tier-II (Geometry/Mensuration crossover). The difficulty typically escalates when direction is combined with distance (geometry) or when the path forms a closed shape.

Advanced Direction Concepts:

1. Bus/Car Starting Point Problems: A bus travels East 5 km, turns right (South), travels 3 km, turns left (East), travels 2 km. Find the displacement from start. → Solution: Net East = 5+2 = 7 km, South = 3 km. Displacement = $\sqrt{49+9} = \sqrt{58} ≈ 7.6$ km

2. Circular Direction Problems: Standing at the centre of a clock, 12 is North. What is the direction of 3? → East. What is the direction of 9? → West. → This also applies to questions about facing a person in a circle.

3. Shadow-Based Direction (Important for India context):

   • Sun rises in East → Shadow falls towards West in the morning
   • Sun at noon (India): Due to Northern Hemisphere location, sun is in the South at noon → Shadow falls towards North
   • Sun sets in West → Shadow falls towards East in the evening
   • A person facing the sun at sunrise (East) has their shadow behind them (West)

4. Wind-Vane Problems: A wind vane shows wind direction. If it points NE, the wind blows from NE towards SW.

PYQ Pattern (SSC CGL 2019-2023):

• Most common: Person walking a path with alternating left-right turns (approximately 60% of questions)
• Medium difficulty: Finding final position using Pythagoras theorem after multi-step movement
• Higher difficulty: Combining direction with time (e.g., “if you walk North for 2 hours at 5 km/h, then turn right…”) — tests direction + speed-distance combined
• Rare: Wind vane and shadow-based direction (appears in 1 out of every 3-4 exams)

Key Formulas:

• After $n$ right turns (each 90°): facing direction = starting + $n \times 90°$ (mod 360°)
• Clockwise rotation formula: N→E→S→W→N (each right = +90°)
• Anticlockwise: N→W→S→E→N (each left = +90°)

Practice Strategy: Always draw a quick compass on your rough sheet with N at the top. Number the turns as you go. For Pythagoras-based distance questions, draw the path as a right-angled diagram. The most common mistake is miscounting the number of turns, so number them explicitly.

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