Do You See It?

What word begins and ends with an E, but has only one letter?

There are four 3-link chains. All you have to do is join them into a big 12-link chain. For joining two closed links, one of the links must be cut and placed onto the other link for closing.

How many minimum links will you have to cut to make the big chain?

If six children and two dogs were under an umbrella, how come none of them got wet?

Without looking at a calendar, within a minute name, a boy's name using 5 consecutive 1st letters of 5 consecutive months

How can you take 2 from 5 and leave 4?

If 5 cats catch 5 mice in 5 minutes, how long will it take one cat to catch a mouse?

John was going on a jungle trip. He asked his wife to pack something to eat, something to drink and something to burn if he feels cold in the jungle. When John opens the backpack he found just one thing in the bag. What was it?

When I get multiplied by any number, the sum of the figures in the product is always me. What am I?

I am under you when I am whole.
I shift above you if you remove the first letter.
I come all around you if you remove the second as well.

Can you tell me who I am?