Competitive Exams / CUET UG / Logical Reasoning / Direction Sense

Direction Sense for CUET UG

Master compass logic, turns, displacement, shortest distance, shadow orientation, and degree-based rotations with original notes and timed practice built for the Learn at My Place competitive flow.

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Overview

Why This Chapter Matters in CUET

Direction Sense is a highly scoring chapter because the same compass and turning logic repeats across route tracing, shadow questions, and shortest-distance problems.

Students improve fastest when they stop imagining everything mentally and start converting the path into arrows, turns, and net displacement.

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Section A

Notes & Concept Builder

Compass first, movement second

1. The 8-Point Compass

Direction Sense becomes easy once the compass is fixed in your head: North, South, East, West, and the four subdirections North-East, North-West, South-East, and South-West.

Base rule: opposite directions are North-South and East-West.

Every movement question becomes simpler when you imagine this compass before reading the path.

2. Turn Logic

Right turn means clockwise. Left turn means anticlockwise. If a question says only turn right or turn left, aptitude convention usually treats it as a 90° turn unless another angle is given.

Track order: first update the facing direction, then apply the next movement.

Most errors come from moving in the old direction after a turn.

3. Path Length vs Shortest Distance

Total path travelled is not the same as the shortest distance from the start. The shortest distance depends only on the net horizontal and net vertical shift.

Shortest distance: reduce the route to net East-West and net North-South movement first.

When those two shifts are perpendicular, the direct distance is found using the right-triangle rule.

4. Pythagoras in Direction Questions

If the final horizontal and vertical shifts are aa and bb, then the shortest distance from the start is the hypotenuse cc where c2=a2+b2c^2=a^2+b^2.

Classic example: 6 km East and 8 km North gives a shortest distance of 10 km, not 14 km.

This is one of the most repeated CUET direction patterns.

5. Shadow Logic

At sunrise the Sun is in the East, so shadows fall in the West. At sunset the Sun is in the West, so shadows fall in the East.

Quick visual: if you face sunrise, your left is North and your right is South.

Shadow questions are just direction questions with a light source added.

6. Degree-Based Rotations

A 90° turn is a quarter turn. A 180° turn reverses direction. A 45° turn shifts between a prime direction and a subdirection.

Compass tip: the 8-point compass already divides the circle into 45° steps.

That is why degree-based turning becomes much easier after the compass is internalized.

7. How to Map a Route Quickly

Use arrows for movement and dots for turning points. Keep horizontal movement separate from vertical movement if the question asks only the final position.

Fast workflow: start point → direction faced → turn → move → turn → move → net displacement.

Once your route sketch is clean, the answer usually becomes mechanical.

8. Exam Strategy for CUET UG

Direction Sense is highly scoring because the logic stays stable even when the words change. Practice direct turns first, then route tracing, then shortest distance, then shadow logic and degree turns.

Weekly loop: compass → turns → displacement → shortest distance → shadow → mixed mock.

That order builds speed without sacrificing accuracy.

Solved Practice

Solved Examples

Update the compass after every turn
Example 1: Aman starts facing North, turns right, walks 6 m, turns left, and walks 4 m. Which direction is he facing now?

Facing North, a right turn makes him face East.

From East, a left turn makes him face North.

Example 2: Riya walks 6 km East and 8 km North from school. What is her shortest distance from the starting point?

The horizontal and vertical shifts are 6 and 8.

Using c2=62+82=36+64=100c^2=6^2+8^2=36+64=100, the shortest distance is 10 km.

Example 3: At sunrise, Mehul stands facing the Sun. In which direction does his shadow fall?

At sunrise the Sun is in the East.

A shadow falls opposite the Sun, so the shadow is in the West.

Example 4: If a person is facing East and turns right, which direction will they face?

Right turn from East means one 90° clockwise step to South.

Example 5: If a person walks 5 km North, 5 km East, 2 km South, and 3 km West, where is the endpoint from the start?

Net East-West shift is 2 km East. Net North-South shift is 3 km North.

The endpoint lies to the North-East.

Example 6: If a person faces West at sunset, which side is South?

At sunset the Sun is in the West. If the person faces West, South falls on the left side.

Example 7: From South-West, what is the result of a 90° clockwise turn?

Move two 45° steps clockwise from South-West.

The new direction is North-West.

Example 8: Why is shortest distance usually different from total distance travelled?

Total distance adds every segment of the route.

Shortest distance uses only the net displacement between the start and end points.

Example 9: If someone walks 3 km East and 4 km North, what geometry is hidden in the question?

The route creates perpendicular sides of a right triangle.

The direct distance is the hypotenuse.

Example 10: What is the safest order for solving a direction question?

Fix the initial direction, update each turn one by one, then compute the final displacement or facing direction.

Next Step

Move into Timed Practice

Use the sectional practice page to isolate compass turns, route tracing, shortest distance, and shadow-based direction logic. Then finish with the full mixed mock to test speed and clarity together.

Finished this topic?

Keep the practice loop moving

Move straight from chapter-wise questions into a subject test, then loop back into weaker areas instead of ending the session here.