Solution:

Did you concentrate on the point that it was a ping pong ball? Also that you have a water bottle with you. We never mentioned that it was empty. So what you will do is simply empty it in the narrow pipe and the ball will come up floating on the water. All the other things that were mentioned served just as distractions and if you were not able to find a way, they all worked quite well.

Solution:

The Password.

Explanation:
Clues 2 and 5 are correct and rest are lies.

Solution:

Move the coins as given in the figure and you will get the required result.

Solution:

The attached picture shows you how you can do it. If you were able to deduce any other way, feel free to comment.

Solution:

Tilt the barrel until the fruit juice barely touches the lip of the barrel. If the bottom of the barrel is visible then it is less than half full.If the barrel bottom is still completely covered by the fruit juice, then it is more than half full.

Solution:

Since the door is not visible in this picture, the bus is moving in the left direction.

Solution:

Solution is shown in image below

Solution:

Daughter.

Solution:

I am word "Introvert"

Solution:

It can be solved as below.

Solution:

16-days

In 15-days, he will climb 15-inch and when he climbs 5 inch more, he will be out of the well :-)