Logic 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: You are a surgeon who has to perform 3 operations today, but you only have 2 pairs of gloves (a and b) to perform the operations. Each of the people you are performing surgery on are infectious so you cannot touch any of them or their bodily fluids and they can't touch each other's bodily fluids. How do you perform all 3 operations with only 2 pairs of gloves?

Question: I am very strong and tough but can be broken in some ways. What am I?

Question: A man named Edward was born on December 21st, yet his birthday is during the summer this year.

How could this be?

Question: I am a nice word composed of five letters, but the Romans would call me a numbers.

What am I?