I shave every day, but my beard stays the same. What am I?

Can you find the key in the picture below?

The following sentence is false. The preceding sentence is true.
Are these two sentences true or false?

What English word has three consecutive double letters?

Using the clues below, what four numbers am I thinking of?

The sum of all the numbers is 31.
One number is odd.
The highest number minus the lowest number is 7.
If you subtract the middle two numbers, it equals two.
There are no duplicate numbers.

What is the four-digit number in which the first digit is one-third the second, the third is the sum of the first two, and the last is three times the second?

An American nightclub called 'The Coconut Grove' had a terrible fire in which over 400 people died. A simple design flaw in the building led to a high death toll. Subsequently, regulations were changed to ensure that all public buildings throughout the country eliminated this one detail, which proved deadly. What was it?

Complete the following series. It.s very logical:

1, 4, 5, 6, 7, 9, 11, __?

If two's company, and three's a crowd, then whats four and five ?

Which city is three-fifths chick two third cat and 50% goat?