BrainBashers - Random Puzzles

Puzzle 1

I travelled from London to Glasgow last week at 60 miles per hour, I had filled my petrol tank just before I left, so it was full with 25 gallons.

Unfortunately, my petrol tank sprang a leak immediately, and I only managed to drive 300 miles before I ran out of petrol.

My car does 30 miles per gallon, how fast was I losing petrol through the hole?

workings hint answer print

www.brainbashers.com /puzzle/zfau share

Puzzle 2

Here we have a rectangular room, measuring 30 feet by 12 feet, and 12 feet high.

There is a spider in the middle of one of the end walls, 1 foot from the ceiling (A).

There is a fly in the middle of the opposite wall, 1 foot from the floor (B).

What is the shortest distance that the spider must crawl in order to reach the fly?

The Spider and the Fly, The Canterbury Puzzles, Henry Ernest Dudeney.

workings hint answer print

www.brainbashers.com /puzzle/zwql share

Puzzle 3

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 4

A parent recently arranged a children's party, and had 187 sweets to give out equally to the children.

Each child had more than one sweet, and there were more children than there were sweets per child.

How many sweets did each child end up with?

workings hint answer print