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

Look at this sequence from top to bottom. What is the next number in the sequence?
1
11
21
1211
111221
312211

If you had an infinite supply of water and 5-quart and 3-quart pails, how would you measure exactly 4 quarts? What is the least number of steps you need?

One is to three as three is to five and five is to four and four is the magic number.
What is the pattern?

The answer I give is yes, but what I mean is no. What was the question?

I am a type of word that is spelt incorrectly or used differently, on purpose for humour. What am I?
Hint 1: You can find me in a joke.
Hint 2: I am a play on words.

Can you find out the number that should replace the question mark with a valid reason?

Which tank will fill first?

A mathematician couple was having a Frappuccino in Starbucks sitting opposite to each other. Suddenly the guy noticed the text written on the paper in front of them and exclaimed that it was wrong. The girl denied it and said it is appropriate. Both are correct. What is written on the paper?

Solve the rebus riddle in the picture below.