What has one letter and starts with an E?

I am an odd number. Take away a letter and I become even. What number am I?

Name one eight-letter word with 'kst' in the middle, 'in' the beginning, 'and' at the end.?

I never was there, I am always to be.
You have never ever seen me, not ever you will.
Yet I am the confidence of everyone.

Who Am I?

The Little ant seems to be always confused. Do you know why?

A mules travels the same distance daily.
I noticed that two of his legs travels 10km and the remaining two travels 12km.
Obviously two mules legs cannot be a 2km ahead of the other 2.

The mules is perfectly normal. So how come this be true ?

If a shopkeeper can only place the weights on one side of the common balance. For example, if he has weights 1 and 3 then he can measure 1, 3 and 4 only. Now the question is how many minimum weights and names of the weights you will need to measure all weights from 1 to 1000? This is a fairly simple problem and very easy to prove also.

How do you go from 98 to 720 using just one letter?

What four weights can be used to balance from 1 to 30 pounds?

Which of the following words don't belong in the group and why?
CORSET, COSTER, SECTOR, ESCORT, COURTS