Solution:

I was born in Hospital whose room number is 1950.

Solution:

3/7

Explanation:
If a 31day month starts on a Friday, Saturday or Sunday it will have five Sunday, if not it will have 4 Sunday.

Solution:

Solution is shown in image below

Solution:

I filled a glass full of water and held it over my head for 20 minutes.

Solution:

It can be done in 8 moves as shown in the animated image below.

Solution:

Remove the same 2 matchsticks from each figure and move figure towards left 45 degrees, It forms the letters V W X Y.

Solution:

To do it, the marbles must be arranged as the vertices of an octahedron. If you are unsure, check the image below.

Solution:

Align the toothpicks to form TEN. Use one toothpick for each of the lines.

Solution:

It can surely be true because it is not mentioned that it was raining.

Solution:

Move and then pour all juice from second glass to fifth glass.

Solution:

Lucky days are here again.

Explanation:
Lucky + Day + s + R + H + Ear + Again (Flower represent lucky symbol)