To determine how far Ram was from the house, we need to analyze the steps he took and calculate the total distance traveled.

1. Ram went 15 km to the West from my house:
- This initial movement takes Ram 15 km away from the house.

2. Ram turned left and walked 20 km:
- Turning left from the west direction means Ram is now heading south.
- Ram walks 20 km in the south direction.

3. Ram turned East and walked 25 km:
- After turning east from the south direction, Ram is now heading towards the east.
- Ram walks 25 km towards the east.

4. Ram turned left and covered 20 km:
- Since Ram turned left from the east direction, he is now heading towards the north.
- Ram walks 20 km towards the north.

To calculate the distance between Ram and the house, we need to consider the displacement in both the north and west directions.

- Displacement in the north direction:
Ram initially went 15 km west and then covered 20 km towards the north.
So, the displacement in the north direction is 20 km - 15 km = 5 km.

- Displacement in the west direction:
Ram initially went 15 km west, but then turned east and covered 25 km in that direction.
So, the displacement in the west direction is 15 km - 25 km = -10 km.

Since displacement is a vector quantity, we need to calculate the magnitude of the displacement using the Pythagorean theorem.

Using the Pythagorean theorem:
Distance^2 = (Displacement in north direction)^2 + (Displacement in west direction)^2

Distance^2 = 5 km^2 + (-10 km)^2
Distance^2 = 25 km^2 + 100 km^2
Distance^2 = 125 km^2

Taking the square root of both sides:
Distance = √(125 km^2)
Distance = 11.18 km (approximately)

Therefore, Ram is approximately 11.18 km away from the house. Since none of the given answer options match this exact value, it seems that there may be an error in the question or answer choices.