Gaurav exits from the backdoor of his north-facing house and walks 25 m straight, then he takes a left turn and walks 36 m, then he turns left and walks 47 m. He turns left again and walks 36 m. How far and in which direction is he from his house now?

To determine Gaurav's final position relative to his house, we can trace his movements step-by-step on a standard directional coordinate system (where North is Up, South is Down, East is Right, and West is Left).

Step 1: Starting point and initial movement
Gaurav's house is north-facing, meaning the front door faces North. Since he exits from the backdoor, he starts by walking in the opposite direction, which is South.
He walks 25 m straight out of the backdoor.
His position is now 25 m South of his starting point (house).

Step 2: First left turn
Facing South, taking a left turn means he is now facing East.
He walks 36 m in this direction (East).

Step 3: Second left turn
Facing East, taking a left turn means he is now facing North.
He walks 47 m in this direction (North).
Since he previously went 25 m South, walking 47 m North puts him:
$47-25=22$ m North of his starting latitude.

Step 4: Third left turn
Facing North, taking a left turn means he is now facing West.
He walks 36 m in this direction (West).
Since he previously walked 36 m East, walking 36 m West brings him back to the same vertical line (longitude) as his house.

Conclusion:
Gaurav's horizontal displacement is 0 m (since the 36 m East and 36 m West cancel out).
His vertical displacement is 22 m in the North direction (since $47\text{m North}-25\text{m South}=22\text{m North}$).
Therefore, he is 22 m, North from his house.