Govind starts from Point A and drives 5 km towards south. He then takes a left turn, drives 5 km, turns left and drives 12 km. He then takes a left turn and drives 11 km. He takes a final left turn, drives 7 km and stops at Point P. How far (shortest distance) and
towards which direction should he drive in order to reach Point A again? (All turns are 90° turns only unless specified.)

The correct option is 6 km to the east.

To find how far and in which direction Govind needs to drive to return to Point A from Point P, let us track his movement step-by-step using a 2D Cartesian coordinate system.
Let Point A be at the origin $(0,0)$.

Step 1: Initial position and first movement
Govind starts at Point A $(0,0)$ and drives 5 km towards South.
Coordinates after 1st movement = $(0,-5)$.

Step 2: Second movement
Facing South, he takes a left turn (which means driving towards East) and drives 5 km.
Coordinates after 2nd movement = $(0+5,-5)=(5,-5)$.

Step 3: Third movement
Facing East, he takes a left turn (which means driving towards North) and drives 12 km.
Coordinates after 3rd movement = $(5,-5+12)=(5,7)$.

Step 4: Fourth movement
Facing North, he takes a left turn (which means driving towards West) and drives 11 km.
Coordinates after 4th movement = $(5-11,7)=(-6,7)$.

Step 5: Final movement to Point P
Facing West, he takes a final left turn (which means driving towards South) and drives 7 km.
Coordinates of Point P = $(-6,7-7)=(-6,0)$.

Step 6: Direction and distance required to reach Point A
Govind is currently at Point P $(-6,0)$ and wants to reach Point A $(0,0)$.
The horizontal displacement required is:

$0-(-6)=6\text{km}$

Since his x-coordinate needs to increase from -6 to 0, he must drive 6 km towards the East to reach Point A.