Alok walks from point P to point Q, which is 6 km away, then turns right and walks for 12 km to point R, again turns right and goes 11 km to point S. What is the distance between points P and S?

13 km

The correct answer is Option (4) → 13 km

Step 1: Represent the path

1. Let point P = (0,0).
2. Alok walks 6 km to Q → assume north direction: Q = (0,6)
3. Turns right → moves east 12 km → R = (12,6)
4. Turns right → moves south 11 km → S = (12, -5)

Step 2: Distance between P and S

$P = (0,0), \quad S = (12, -5)$

$\text{Distance } PS = \sqrt{(12-0)^2 + (-5-0)^2} = \sqrt{144 + 25} = \sqrt{169} = 13 \, \text{km}$