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A Proof That 2 = 1. Let A = B:

           A = B

multiply by A on both sides:

         A x A = A x B

subtract B x B from both sides:

   A x A − B x B = A x B − B x B

factorise:

  (A + B)(A − B) = B(A − B)

divide by (A − B) on both sides:

       (A + B) = B

replace A with B:

         B + B = B

factorise:

          2B = B

divide by B on both sides:

           2 = 1

Where lies the flaw in the logic?

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This BrainBashers safe has a rather unusual control panel.

In order to open the safe, you have to press every single square once only, in the correct sequence, ending on the square marked E.

Each square indicates which square to press next, for example, 2U means move up 2 squares and 3R means move right 3 squares.

Can you determine which square you must start with?

6R	4R	3D	2D	2L	2L	2D
2D	1U	4R	4D	3L	2L	2L
1U	1R	3R	3L	2U	E	2D
1R	1U	3R	1D	2D	1L	3L
4U	1L	3U	2D	2U	3U	2D
1D	1U	1D	3L	2R	3L	2U
1R	1U	2U	2R	2U	1U	2L

Note: this puzzle is not interactive, and the safe buttons cannot be clicked.

Puzzle Copyright © Kevin Stone

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Can you find the country hidden in the following paragraph?

Welsh horses are my favourite animal. Tapir, llama, marmoset, and elephant closely follow. I don't care much for English rabbits nor ocelots, adders, goldfish, and spaniels.

Puzzle Copyright © Kevin Stone

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How many hexagon-type shapes, in total, can you find in this puzzle?

Puzzle Copyright © Kevin Stone

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www.brainbashers.com /puzzle/zeia share