Aptitude hub

Direction Sense

0/10 problems solved

Formulas & 30-Second Shortcut Tricks

Formulas

  • Right turn from North → East → South → West → North (clockwise)
  • Left turn = anticlockwise
  • Shortest distance = √(Δx² + Δy²) (Pythagoras)
  • Shadow: morning sun in East ⇒ shadow falls West; evening ⇒ shadow East

Shortcuts

  • Track net East–West and North–South displacement separately.
  • Common triples: 3-4-5, 6-8-10, 5-12-13, 8-15-17.

Practice problems

Q1

Ravi walks 6 km North, turns right and walks 4 km, then turns right and walks 3 km. How far is he from the start?

Q2

Starting at point P, Anu walks 8 m West, then turns left and walks 6 m. In which direction is she from P, and how far?

Q3

Ravi walks 9 km North, turns right and walks 12 km, then turns right and walks 4 km. How far is he from the start?

Q4

Starting at point P, Anu walks 15 m West, then turns left and walks 8 m. In which direction is she from P, and how far?

Q5

Ravi walks 14 km North, turns right and walks 12 km, then turns right and walks 5 km. How far is he from the start?

Q6

Starting at point P, Anu walks 16 m West, then turns left and walks 12 m. In which direction is she from P, and how far?

Q7

Ravi walks 11 km North, turns right and walks 24 km, then turns right and walks 4 km. How far is he from the start?

Q8

Starting at point P, Anu walks 20 m West, then turns left and walks 15 m. In which direction is she from P, and how far?

Q9

Ravi walks 22 km North, turns right and walks 21 km, then turns right and walks 2 km. How far is he from the start?

Q10

Starting at point P, Anu walks 24 m West, then turns left and walks 10 m. In which direction is she from P, and how far?

Direction Sense Speed Test

1 minute per question. Use the palette to jump around; you'll see time spent on every question at the end.