Which is the smallest number that you can write using all the vowels exactly once?

It comprises roots which nobody sees,
Much taller than those trees,
Up and up it goes,
Still it never grows?

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

A blonde put eyeliner on her head. Why?

A journalist was investigating a sacred cult in the jungles of Africa when he was caught by one of the person. He was confined in a cave till the leader arrived. The leader told him that he need to tell him a statement. If he thinks the statement is true, then the journalist head will be chopped off. If he thinks that the statement is false, his head will be smashed with a hammer.

What statement did the journalist make to survive?

The first two letters signify a male, the first three letters signify a female, the first four letters signify a great, while the entire world signifies a great woman. What is the word?

A pond had 60 fish, out of which, all but 20 died.
How many fishes are now present in that pond?

I am an odd number. Take away a letter and I become even. What number am I?

Find three whole, positive numbers that have the same answer when multiplied together as when added together.

A professor thinks of two consecutive numbers between 1 and 10.
'A' knows the 1st number and 'B' knows the second number

A: I do not know your number.
B: Nor do I know your number.
A: Now I know.

What are the four solutions for this?