What has one letter and starts with an E?

There is one thing that goes round the house and also inside the house but never even share a brief touch. What is it?

If I remove one from eleven it becomes Ten and if I remove one from nine also becomes Ten. How?

The first box has two white balls. The second box has two black balls. The third box has a white and a black ball.

Boxes are labeled but all labels are wrong!

You are allowed to open one box, pick one ball at random, see its colour and put it back into the box, without seeing the colour of the other ball.

How many such operations are necessary to correctly label the boxes?

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

Find the next number in the following series:
6, 14, 26, 98, __?

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.

I am eight letters long - "12345678"
My 1234 is an atmospheric condition.
My 34567 supports a plant.
My 4567 is too appropriate.
My 45 is a friendly thank-you.
My 678 is a man's name.

What word am I?

Solve the alphametic puzzle by replacing the alphabet with the number.

S T O R M +
S O L E S
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T O W E L
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Name one eight-letter word with 'kst' in the middle, 'in' the beginning, 'and' at the end.?