How many people must be gathered together in a room, before you can be certain that there is a greater than 50/50 chance that at least two of them have the same birthday?

What number comes next in this sequence:
7 8 5 5 3 4 4 _

I have Rs.50 and I spend it in the way as below.

My cousin lives in one story house in Antarctica. His house is made the of-of sandstone. what is the color of stairs?

You walk into a room that contains a match, a kerosene lamp, a candle and a fireplace. What would you light first?

Can you think of a smallest +ve number such that if we shuffle the digits of the number, the new number becomes double the original number?

During which month do people sleep the least?

You stand in front of two doors. A guard stands next to each door. You know the following things: one path leads to paradise, the other leads to death. You cannot distinguish between the two doors. You also know that one of the two guards always tells the truth and the other always lies. You have permission to ask one guard one question to discover which door leads to paradise. What one question would you ask to guarantee you enter the door to paradise?

Guess the hidden movie name?

I am 5 letters long.
My first two tell you who I am
My first 3 could be a medicine
My last three reversed could be a young boy.
My 4th, 3rd and 2nd in that order could be a fruit drink.
If you have me you may hang me round your neck
WHAT AM I ?