BrainBashers - Random Puzzles

Puzzle 1

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?

workings answer print

www.brainbashers.com /puzzle/zihg share

Puzzle 2

Which is longer …

… 250 centimetres or 8 feet?

workings hint answer print

www.brainbashers.com /puzzle/zpir share

Puzzle 3

What letter comes next in this sequence:

B r a i n B ?

workings hint answer print

www.brainbashers.com /puzzle/zapp share

Puzzle 4

My BrainBashers electronic world atlas has developed another fault, I did a listing of miles from England to particular countries and here is the result:
Chile     800 miles
Wales   4,200 miles
France  1,100 miles
Italy   3,400 miles

How far away did it list Scotland as?

workings hint answer print