What always comes into a house through the keyhole?

I am quite hot but become too cold if you remove the first two letters. What am I?

Jim has three close friends at his school: Michael, John and Alice. Two of them play football, two play basketball and two play hockey. The friend who does not play hockey does not play basketball as well. The friend who does not play football does not play hockey.

Can you identify which sport/s is played by which person?

Who always enjoys poor health?

A man in a car saw a Golden Door, Silver Door and a Bronze Door. What door did he open first?

What will be the best approach to finding all the prime numbers less than 75 that leave an odd reminder when we divide them with 5?

One absent-minded ancient philosopher forgot to wind up his only clock in the house. He had no radio, TV, telephone, internet, or any other means for telling time. So he travelled on foot to his friend's place a few miles down the straight desert road. He stayed at his friend's house for the night and when he came back home, he knew how to set his clock. How did he know?

Find the next number in the following series:
6, 14, 26, 98, __?

In a family supper, a grandfather, a grandmother, two fathers, two mothers, four children, three grandchildren, one brother, two sisters, two sons, two daughters, one daughter-in-law, and one mother-in-law need to sit at a table.

There are only seven chairs available at the place. How many more chairs do they have to borrow so that everyone can sit down together for the suppers if everybody requires a separate chair?

Lifeless eyes on my smiling face and watch your child's sleeping place. In their dreams they hold me tight. What am I?