Direction Sense — Shortcuts, Tricks, and Solved Examples | TNPSC, SSC, Placement

Quick Concept Summary

Direction Sense questions test your ability to track movement across a compass and calculate the final position or distance from a starting point. Every question gives you a sequence of moves (distances + directions or turns) and asks one of three things:

1. Which direction is the person now facing? 2. Which direction is the final point relative to the start? 3. How far is the final point from the start?

The entire topic rests on three pillars: turning rules, shadow rules, and distance calculation.

The 8 Compass Directions

Memory tip: Clockwise from North — N, NE, E, SE, S, SW, W, NW — just like a clock face.

Types / Patterns

Type 1 — Direction After Turns

You are given a starting direction and a sequence of left/right/U-turns. You must find the final facing direction.

Type 2 — Final Position Relative to Start

You are told where a person walks (distance + direction) step by step. At the end, find which direction the endpoint lies from the starting point.

Type 3 — Distance from Start (Displacement)

Same as Type 2, but the question asks for the straight-line distance between start and finish.

Type 4 — Shadow Problems

You are told the time of day (morning / evening / noon) and a person's shadow direction. Find which way the person is facing.

Type 5 — Pivot / Reference Point

Two people start from the same point or different points and move in given directions. Find the distance or direction between them at the end.

Turning Rules

Left Turns

Right Turns

U-Turns

Quick rule: Left turn = anticlockwise 90°. Right turn = clockwise 90°. U-turn = 180°.

Shadow Rules

The sun always rises in the East and sets in the West.

Key deductions

• Morning shadow in front of you → You face West (shadow is in front = sun is behind = sun is East = you face opposite to East = West)
• Morning shadow behind you → You face East
• Morning shadow to your left → You face South
• Morning shadow to your right → You face North
• Evening shadow in front of you → You face East
• Evening shadow behind you → You face West
• Evening shadow to your left → You face North
• Evening shadow to your right → You face South

Distance Calculation

Two perpendicular legs

If a person walks a metres in one direction and then turns 90° and walks b metres, the straight-line distance from start to finish is:

Multiple legs — net displacement method

1. Assign positive/negative values:

2. Sum all X movements → net horizontal 3. Sum all Y movements → net vertical 4. Distance = √(net X² + net Y²)

• North = +Y, South = −Y
• East = +X, West = −X

Example: Walk 3 km North, 4 km East, 3 km South, 1 km West.

• Net Y = 3 − 3 = 0
• Net X = 4 − 1 = 3
• Distance = √(3² + 0²) = 3 km East of start

Worked Examples

Example 1 — Simple Turns (Direction After Turns)

Q: Riya faces North. She turns left twice. Which direction does she now face?

• Start: North
• 1st left turn: North → West
• 2nd left turn: West → South

Example 2 — Right Then Left Turn

Q: Arjun faces East. He turns right, then turns left. Which direction does he face now?

• Start: East
• Right turn: East → South
• Left turn: South → East

Example 3 — U-Turn

Q: Meena faces South-West. She takes a U-turn. Which direction does she face?

• SW → opposite = NE

Example 4 — Tracking Position (Type 2)

Q: Starting from point A, Ravi walks 5 km North, then turns right and walks 3 km East, then turns right again and walks 5 km South. In which direction is he from point A now?

• Start at A.
• Walk 5 km North → reach B.
• Turn right (now facing East), walk 3 km → reach C.
• Turn right (now facing South), walk 5 km → reach D.

Net Y: +5 (North) − 5 (South) = 0. He is at the same latitude as A. Net X: +3 (East).

D is 3 km East of A.

Example 5 — Distance Calculation (Pythagoras)

Q: A man walks 8 km North, then turns right and walks 6 km East. How far is he from the starting point?

• Vertical leg = 8 km
• Horizontal leg = 6 km
• Distance = √(8² + 6²) = √(64 + 36) = √100 = 10 km

Example 6 — Multiple Legs Net Displacement

Q: Priya starts from home, walks 6 km North, 4 km East, 6 km South, and 8 km West. How far and in which direction is she from home?

• Net Y: 6 North − 6 South = 0
• Net X: 4 East − 8 West = −4 (i.e., 4 km West)
• Distance = √(4² + 0²) = 4 km

She is 4 km West of home.

Example 7 — Morning Shadow

Q: In the morning, Karthik's shadow falls to his right. Which direction is Karthik facing?

• Morning sun is in the East, so shadows fall West.
• Shadow is to his right → West is to his right.
• If West is on your right, you are facing North.

Example 8 — Evening Shadow

Q: In the evening, Divya notices her shadow falls directly behind her. Which direction is Divya facing?

• Evening sun is in the West, so shadows fall East.
• Shadow falls behind her → East is behind her → She is facing West.

Shortcuts and Tricks

Trick 1 — The Clock Face

Imagine a clock on the compass. Right turn = clockwise (same as clock hands). Left turn = anticlockwise (opposite to clock hands). After 4 right turns or 4 left turns you always end up back in the starting direction.

Trick 2 — Pair Cancellation

If you turn left and then turn right (or right then left) consecutively without any other instruction, you end up facing the same direction as before both turns. Use this to instantly skip pairs in long sequences.

Trick 3 — Count Net Turns

• 4 lefts or 4 rights = no change
• 3 lefts = 1 right (270° anticlockwise = 90° clockwise)
• 3 rights = 1 left
• 2 lefts or 2 rights = U-turn

So for a long sequence of turns, count: total lefts (L) and total rights (R). Compute net = R − L. Then take net mod 4 right turns from the starting direction.

Example: 5 rights and 3 lefts → net = 5 − 3 = 2 rights → U-turn from start.

Trick 4 — Shadow Direction in One Line

Morning: face sun (East) = shadow behind (West). Face away from sun = shadow in front (East direction of shadow means evening). The shadow always points AWAY from the sun.

Trick 5 — Pythagorean Triplets to Memorise

Recognise these common right-triangle combinations in distance questions:

If you see these numbers in a direction problem, the answer is the hypotenuse — no calculation needed.

Trick 6 — Draw It Always

For Type 2 and Type 3 questions, always draw a rough sketch. Even a 5-second diagram eliminates confusion and cuts solving time by half.

Trick 7 — Pivot Point Method

When two people start from the same point and move in opposite/perpendicular directions, treat the start as the origin, assign +/− to each direction, and find the distance between their final positions using the distance formula: √((x₂−x₁)² + (y₂−y₁)²).

Exam Pattern (TNPSC / Placement)

TNPSC Group 2 / Group 4

• 1–3 questions in the "Mental Ability and Reasoning" section
• Usually Type 2 (final position) or Type 4 (shadow)
• Difficulty: beginner to intermediate
• Time available: approximately 45–60 seconds per question

SSC CGL / CHSL

• 2–3 questions per exam
• Mix of turns, shadows, and distance
• Often paired with a single figure to draw

Bank PO (IBPS / SBI)

• 1–2 questions; sometimes embedded in a larger puzzle set
• Distance calculation appears more often at PO level than clerk level

Campus Placement (TCS, Infosys, Wipro)

• 1–3 questions in the reasoning section
• Shadow-based questions are a favourite
• Straight-line distance questions appear frequently

Common question stems in TNPSC

• "In which direction is X from the starting point?"
• "How far is X from the starting point?"
• "Facing which direction is X standing?"
• "Whose shadow is longer / in which direction does the shadow fall?"

Practice Questions

Q1. Suresh faces South. He turns right, then turns right again. Which direction does he face now?

Q2. Anand walks 10 km East, then turns left and walks 10 km. He then turns left again and walks 10 km. In which direction is he from the starting point?

Q3. A woman walks 3 km North, 4 km East. What is the shortest distance between her start and end points?

Q4. In the morning, a man stands such that his shadow falls to his left. Which direction is he facing?

Q5. Ravi faces North-East. He takes a U-turn. Which direction does he face now?

Q6. Starting from P, Kiran walks 6 km West, then 8 km South. What is the straight-line distance from P?

Q7. In the evening, Sita's shadow falls to her right. Which direction is Sita facing?

Q8. Ramesh faces North. He turns right three times. Which direction does he face?

Q9. A man walks 5 km North, 12 km East, 5 km South, and 4 km West. How far and in which direction is he from the starting point?

Q10. Two friends A and B start from the same point. A walks 9 km East and B walks 12 km North. What is the distance between A and B?

Answer Key

Common Mistakes to Avoid

1. Confusing your left with the map's left. When a person faces South, their left is East (not West). Always orient from the person's perspective, not the map's.

2. Skipping the diagram. Trying to solve distance problems mentally leads to errors. 5 seconds of drawing saves 30 seconds of re-reading.

3. Forgetting the −1 trick. Distance from start is a displacement, not the total path length. A person walking 5 km North and 5 km South returns to start (distance = 0), even though they walked 10 km total.

4. Shadow in front vs. shadow behind. Students often reverse these. Remember: shadow always falls AWAY from the sun. Morning sun is in the East. If you face East (towards the sun), shadow is BEHIND you (to the West).

5. U-turn for diagonal directions. NE ↔ SW and NW ↔ SE. Don't say the U-turn of NE is NW — that is a 90° turn, not 180°.