Good Riddles

Question: A tomato vine is 3 meters long. The bottom foot of the vine doesn't grow any tomatoes but the rest of the vine grows a tomato every 5 inches.

How many vegetables can grow off of the vine?

Question: I take what you receive and surrender it all by waving my flag.What am I?

Question: Under pressure is the only way I work,
and by myself is the only way I'm hurt.

What am I?

Question: Why is a raven like a writing desk?

Question: Sum Sam and Product Pete are in class when their teacher gives Sam the Sum of two numbers and Pete the product of the same two numbers (these numbers are greater than or equal to 2). They must figure out the two numbers.

Sam: I don't know what the numbers are Pete.
Pete: I knew you didn't know the numbers... But neither do I.
Sam: In that case, I do know the numbers.

What are the numbers?