What does this below rebus puzzle mean?

Which three-digit number, made of consecutive digits, like 567, is 2 less than a cube and 2 more than a square?

What begins with T, ends with T, and has T in it?

Replace the question mark with the number below given a simple math problem.

Mr. Buttons was all set to go to the village of Buttonland to meet his friend. So, he packed his bags and left for the village at 5 in the morning. Upon travelling on a road for miles, he came across a point where the road diverged into two. He was confused on which road to take. He gazed around and he saw two owls sitting on a branch. He thought he could ask for directions for the village from the two owls. So he went to the tree. There he saw a sign which read, "One owl always lies, and one is always truthful. They both fly away if you ask them more than 1 question."
Mr. Buttons was caught in the dilemma of what to ask? And from which owl to ask, since he only had one question. What should Mr. Buttons ask?

What is always in front of you but can’t be seen?

John is the son of Jacob.
So,
Jacob is the_____of John's father?

John said, "If yesterday was tomorrow, today would be Friday."

When did John make this statement?

You have to fill the below given grid in a manner that every row and column contains the digits 1 to 6. Also, make sure that the squares that are connected with each other must contains the same digit.

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