Two in a corner, one in a room, zero in a house, but one in a shelter. What is it?

Whats the next number in the below number sequence pattern.

How can you tell a raw egg from a hard-boiled egg?

How can you make number one disappear by adding something to it?

In a concert, Christina is performing a dance show with her group.
At 10:00, she and her crew were dancing in an absolutely straight line. At that time Christina was standing in 4th position from both the front and back end of the row.

What was the size of her crew?

I am eight letters long - "12345678"
My 1234 is an atmospheric condition.
My 34567 supports a plant.
My 4567 is too appropriate.
My 45 is a friendly thank-you.
My 678 is a man's name.

What word am I?

If eleven plus two equals one, what does nine plus five equal?

Which word is least like the others? Third, fourth, fifth, sixth, seventh, eighth, ninth?

10+10 and 11+11 can give you the same answer.

Explain how?

A convention is held where all the big logicians are summoned. The master places a band on everyone's forehead. Now all of them can see others bands but can't see his own. Then they are told that there are different colours of bands. All the logicians sit in circle and they are further explained that a bell will ring at regular intervals. The moment when a logician knew the colour of band on his forehead, he will leave at the next bell. If anyone leaves at the wrong bell, he will be disqualified.

The master assures the logicians that the puzzle will not be impossible for anyone of them. How will the logicians manage ?