I have branches, but no fruit, trunk or leaves. What am I?

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

Christina, Allison and Lena are 3 daughters of John a well-known Mathematician, When I asked John the age of their daughters. He replied "The current age of her daughters is prime. Also, the difference between their ages is also prime."

How old are the daughters?

Your job is to measure 45 minutes if you have only two cords and matches to light the cords.

1. The two cords are twisted from various materials, so their different segments can burn at different rates.
2. Each cord burns from end to end in exactly one hour.

Describe your way of measuring the 45 minutes.

When I got four, I have it none.
When I got two, I have it some.
When I got none, I have it all.

What is it?

Two-person want to cross a river. Only one boat is present on the riverside that can carry only one person at a time.

However, they still manage to cross the river. How is it possible?

Imagine you are in a room with no windows or doors. How will you get out?

What runs around the whole yard without moving?

If you go to the movies and you're paying, is it cheaper to take one friend to the movies twice, or two friends to the movies at the same time?

What word is pronounced the same if you take away four of its five letters?