Complete the following series. It.s very logical:

1, 4, 5, 6, 7, 9, 11, __?

If I put in one bird per cage, I have one bird too many. If I put in two bird per cage, I have one cage too many. How many cages and birds do I have?

Is the statement valid that it does not matter how much older a sibling is, eventually the younger one will be half as old as the older one?

I possess a head

I flaunt a tail

But I don't have mouth or legs

Can you find out who I am?

Two Twins Jack and Jill were standing back to back and suddenly they started running in opposite direction for 4 kilometres and then turn to left and run for another 3 kilometres.

what is the distance between the Baggio twins when they stop ?

Can you find a number that lies one third of the distance between 1/3 and 2/3?

Can you tell a 3D object that has just two surfaces?

I have nine bottles of wine and one of the nine bottles is poisoned.
I need to find the poisoned bottle with two facts
(1) Poison is deadly, only a sip will cost death
(2) I have two mice to do so.

How should I do it?

Three people enter a room and have a green or blue hat placed on their heads. They cannot see their own hat but can see the other hats.
The colour of each hat is purely random. They could all be green, blue, or any combination of green and blue.
They need to guess their own hat colour by writing it on a piece of paper, or they can write 'pass'.
They cannot communicate with each other in any way once the game starts. But they can have a strategy meeting before the game.
If at least one of them guesses correctly they win $10,000 each, but if anyone guesses incorrectly they all get nothing.
What is the best strategy?

Below rebus represent famous DiCaprio movie. Can you name it?