# Puzzle Archives :: Maths Puzzle

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- Question :: 1
An ant is placed at one corner of a wire frame in the shape of a cube. At the diagonally opposite corner is a piece of sugar.The ant crawls along the all the wires of the frame searching for the sugar. At each of the 8 corners the ant randomly chooses one of the 3 wires to follow next (including the one it just traveled) What is the expected number of edges the Ant will traverse until it reaches the sugar?

What if the Ant never doubles back on the wire it just crossed?

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- Question :: 2
Anil has to receive a mail from Station, but the train arrives early and the mail is then sent by a cart to him. Both Anil and cart met in the middle in 30 mins. Due to this in whole journey anil saved 20 mins, due to eary arrival of train.

Now tell me how early the train arrived?

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- Question :: 3
# Five Pirates

5 pirates of different ages have a treasure of 100 gold coins.On their ship, they decide to split the coins using this scheme:

The oldest pirate proposes how to share the coins, and all pirates remaining will vote for or against it.

If 50% or more of the pirates vote for it, then the coins will be shared that way. Otherwise, the pirate proposing the scheme will be thrown overboard, and the process is repeated with the pirates that remain.

Assuming that all 5 pirates are intelligent, rational, greedy, and do not wish to die, (and are rather good at math for pirates) what will happen?

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- Question :: 4
How many times are the hands of a clock at a right angle in a day?

- Question :: 5
if a 0.1mm paper is folded 100 times then what will be the thickness of it after 100 foldings?

- Question :: 6

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 :: 7
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 :: 8
# 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 :: 9

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 :: 10
# 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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