# Puzzle Archives :: Maths Puzzle

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- Question :: 1

A millionaire bought a job lot of hats 1/4 of which were brown. He sold 2/3 of the hats including 4/5 of the brown hats. What fraction of the unsold hats were brown.

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- Question :: 2
Every station in a railroad issue every other station's ticket. Some stations are added. Now they have to issue 46 more tickets. The number of stations before and after the addition is?

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- Question :: 3
# Man & Dog

A man is taking his dog for a walk. They set off together for a waterfall 10 miles away. They set off exactly together and the man walks at a steady 4 miles an hour. The dog runs off at 8 miles an hour and when it reaches the waterfall it turns around and runs back to the man. When it reaches the man it turns around and runs back to the waterfall and so on until the man and dog arrive at the waterfall. when they both arrive at the waterfall?

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- Question :: 4

Jack and his wife went to a party where four other married couples were present. Every person shook hands with everyone he or she was not acquainted with. When the handshaking was over, Jack asked everyone, including his own wife, how many hands they shook. To his surprise, Jack got nine different answers. How many hands did Jack's wife shake?

- Question :: 5
# Substitute digits for the letters

Substitute digits for the letters to make the following relation true.

W O R L D

+ T R A D E

-------------

C E N T E R

[Note that the leftmost letter can't be zero in any word. Also, there

must be a one-to-one mapping between digits and letters.

e.g. if you substitute 3 for the letter W, no other letter can be 3

and all other W in the puzzle must be 3. ]

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