Random Puzzles 

I was having trouble sleeping last night and I tossed and turned well into the night.

Our local town hall has a clock which strikes on the hour and also strikes just once on the half hour.

During one of my more awake moments I heard the clock strike once, but I could not tell what time it was.

Half an hour later it struck once again, but I still could not tell what time it was.

Finally, half an hour later it struck once again and I knew what the time was.

What time was it?

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Can you find a five-digit number that has no zeros, and no repeated digits, where:

The first digit is a prime number.
The second digit is the fifth digit minus the first digit.
The third digit is twice the first digit.
The fourth digit is the third digit plus three.
The fifth digit is the difference between the first digit and the fourth digit.
Don't forget that 1 isn't prime, the prime numbers start with 2, 3, 5, …

Puzzle Copyright © Kevin Stone

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Starting with HATE, change one letter at a time until you have the word LOVE-

Each change leaves the other letters in their original places and must result in a proper word-

What is the minimum number of steps required to achieve this change?

There are four different answers using common words, can you find all four?
hate
----
----
----
love

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Which letter is missing from this sequence:

B  C  E  G  K  Q  S  W

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