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

A man plots the murder of his wife. His plan is full proof. Nobody saw them leaving their house. He stabbed her with a knife while driving. She died on the spot. He threw her body in a valley. He threw the knife carefully wiping his finger prints on a random garbage bin. Then he went back to his home and no one was watching him this time as well.

After an hour, he was called by the local police department who informed him that his wife was murdered. They asked him to reach the scene of crime immediately. But as soon as he arrived at the crime scene, he was arrested by them.

How did the police know that he himself is the murderer?

The picture shows the dice results in each couple of throws. If they are actually following a pattern, can you find out the missing one?

I’m tall when I’m young, and I’m short when I’m old. What am I?

One is to three as three is to five and five is to four and four is the magic number.
What is the pattern?

Irene killed hundreds of people mercilessly and yet the police were not able to put her behind the bars. Why?

What is the difference between a jeweller and a jailer?

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 do you get if you add 2 to 100 four times?

For an extra income, John decided to work at a Hotel for one hour daily. The manager offers him that they will pay him $11 after every 11 days.
However, John offered a different proposition to the manager. The offers stand as:
He will be paid just a penny on his first day.
Two pence will be paid on the second day,
Four pence will be paid on the third day.
And so on till the 11th day.

Should the Hotel manager accept his offer?