Questions
1–2 questions per paper
Difficulty
Easy
Importance
Low-effort, high-accuracy scoring area
Overview
Direction Sense tests your spatial reasoning ability by requiring you to map movements and positions relative to fixed cardinal directions. It is a recurring theme in PSU aptitude sections as it evaluates your logical visualization skills under exam pressure. Mastering this requires internalizing the 8-point compass and applying geometric principles to determine final displacements.
Basic Cardinal and Intercardinal Directions
Aspirants must memorize the four main directions (North, South, East, West) and the four cardinal points between them. Understanding how movements like 'turning right' or 'turning left' affect your vector on a 2D plane is the prerequisite for all advanced problems.
- North is always 0 degrees, East is 90 degrees clockwise
- A right turn is always a 90-degree clockwise rotation
- A left turn is always a 90-degree counter-clockwise rotation
- The 8-point compass includes NE, NW, SE, and SW
Distance Calculation and Pythagoras Theorem
Most complex PSU questions ask for the 'shortest distance' between the starting and ending points, which requires the application of the Pythagorean theorem. Always construct a right-angled triangle using the vertical and horizontal net displacements.
- Hypotenuse^2 = Base^2 + Perpendicular^2
- Draw a Cartesian plane with the starting point at origin (0,0)
- Sum all North-South movements to get the Y-coordinate
- Sum all East-West movements to get the X-coordinate
Shadow and Rotation Problems
Shadow problems depend strictly on the position of the Sun. In the morning, the Sun is in the East, casting shadows to the West; in the evening, the Sun is in the West, casting shadows to the East.
- Morning: Sun in East, shadow falls in the West
- Evening: Sun in West, shadow falls in the East
- No shadow at 12:00 PM (Noon) as the Sun is overhead
- Rotation problems: Map the shift in degrees relative to initial direction
Formula Sheet
Pythagoras Theorem: c = sqrt(a^2 + b^2)
Resultant Direction = tan(theta) = (Net Vertical)/(Net Horizontal)
Exam Tip
Always sketch a mini-plus sign (+) on your rough sheet to track your orientation; never attempt these problems purely by mental visualization.
Common Mistakes
- Mixing up clockwise and counter-clockwise turns when imagining the perspective of a person facing South.
- Forgetting to account for the specific time of day in shadow problems, leading to reversed directions.
- Attempting to calculate total distance traveled instead of the shortest displacement, which is usually the intended answer.
More Revision Notes
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