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Binary Question

Posted by Karl Sharman under Tom (8 Responds)

Heres a simple bit of binary code…. translate back into english, and answer the question…
Unsurprisingly, I’m giving no hints at this stage, and I’ve removed spaces and punctuation, except the question mark.
110011101001000100110011100110011110110
101100101100110010011101101001111010111
001010010000101011101011010110010110011
010010001111101011111000101001001101001
011111111010111001001000101110010000100
111010011100111011101100110011100111011
000011001011000110101101100111010010011
111111010111100011010010011001111111110
101100001100101011001111111110101?
Oh, alright, z=11010… is that enough help?

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Letter Crunching

Posted by Karl Sharman under Tom (13 Responds)

I have a 5 letter word written in front of me. If you ask me any five letter word, I will tell you how many letters in common your word has with mine. If my word is BLACK and yours is WHITE, I will tell you 0. If my word is PLUME and yours is [...]

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Stamps from the Post Office

Posted by Karl Sharman under Tom (6 Responds)

My small village post office, in the village of Diophantine, is selling 1st class stamps and 2nd class stamps in a book costing £3. If a 1st class stamp is 27p and a 2nd class stamp is 21p, how many ways can a £3 book be filled?

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Eketahuna’s Party

Posted by Karl Sharman under Tom (18 Responds)

Eketahuna is having a party. The party was to be held in his private mansion in the city of Puzzlaria. The city, conveniently, is laid out in a perfect grid. Every house’s address is composed of two positive numbers, indicating its relative position to the Town-hall in the southwest corner. For example, House 3-8 [...]

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Black or white?

Posted by Chris under Tom (23 Responds)

Three men A, B and C are captured by cannibals. They are tied to stakes. A can see B and C. B can only see C. C can’t see either A or B. They are then shown five hats. Three are black and two are white. The men are then blindfolded. A hat is put [...]

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Infinity series

Posted by Vago under Mathemagic, Tom (25 Responds)

Hi guys, long time no see.
Here i give two infinite series:
1) What are all the possible values of the following series?
1-1+1-1+1-1+1-1+1-1+1……to infinity
2) What are all the possible values of ‘x’ for which the following series converges.
((((((x-2)²-2)²-2)²-2)²-2)²-2)²……..

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