BrainBashers - Random Puzzles

Puzzle 5

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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Puzzle 6

During the recent BrainBashers cipher convention, a Morse code contest took place.

The contest consisted of a Morse code transmission where the spaces between the letters and words were missing.

Can you decipher the sequence and find the well known proverb?

Luckily, BrainBashers has provided you with a list of the Morse code characters:

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

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www.brainbashers.com /puzzle/zrsq share

Puzzle 7

How many cubic feet of earth are removed …

… to make a hole 4 feet wide by 7 feet long by 2 feet deep?

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www.brainbashers.com /puzzle/zids share

Puzzle 8

Start with a number larger than 0, square it, add 4, double, take away 3, times 4 and finally subtract the original number.

If you were now left with 20, what number did you start with?

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