Target Exam

CUET

Subject

General Aptitude Test

Chapter

Verbal Reasoning

Topic

Direction Sense

Question:

Mr. X starts walking towards the West. After walking 70 m, then he turns to the left and walks 35 m straight. If he now turns left again and walks 30 m, and then he turns to the left and walks a distance of 35 m. How far will he be from the starting point finally?

Options:

60 m

10 m

70 m

40 m

Correct Answer:

40 m

Explanation:

The correct answer is Option (4) → 40 m

Step 1: Starting point

Mr. X walks towards West first → 70 m

  • Now at point A: 70 m West of start

Step 2: First turn (left)

  • Facing West, left → South
  • Walk 35 m → now at point B: 70 m West, 35 m South

Step 3: Second turn (left)

  • Facing South, left → East
  • Walk 30 m → now at point C:
    • West coordinate: 70 – 30 = 40 m West
    • South coordinate: 35 m

Step 4: Third turn (left)

  • Facing East, left → North
  • Walk 35 m → now at point D:
    • West coordinate: 40 m (unchanged)
    • South coordinate: 35 – 35 = 0 m (back to same latitude as start)

Step 5: Distance from starting point

  • West coordinate = 40 m
  • South coordinate = 0 m

$\text{Distance} = \sqrt{40^2 + 0^2} = 40 \text{ m}$