Random Puzzles - BrainBashers

Puzzle 109

Last week, I travelled from Birmingham to Glasgow, the long way round (on a bicycle!).

On day one, I travelled one quarter of the distance.

On day two, I travelled one half of the remaining distance.

On day three, I travelled three quarters of the remaining distance.

Yesterday I travelled one third of the remaining distance.

I now have 21 miles left to travel.

How far is it from Birmingham to Glasgow in total?

workings hint answer print

www.brainbashers.com /puzzle/zzva share

Puzzle 110

What letter comes next in this sequence:

J · F · M · A · M · J · J · ?

workings hint answer print

www.brainbashers.com /puzzle/zwkd share

Puzzle 111

Can you find every occurrence of the word SEPTEMBER that appears in this grid (horizontally, vertically, or diagonally)?

The hint will reveal the number of times it occurs, but where are they?

Note: this puzzle is not interactive, and the letters cannot be selected.

workings hint answer print

www.brainbashers.com /puzzle/zgix share

Puzzle 112

During a recent expedition, three intrepid adventurers were left stranded in the middle of the desert with only a crate full of apples.

During the night, Alex woke up and decided to hide some of the apples and hid a third, then promptly fell asleep again.

Billie woke up shortly after and also decided to hide a third of the remaining apples and then also dozed back to sleep.

Finally, Charlie woke up and seeing the others were asleep, took a third of what was left.

Of course, none of the adventurers knew of the other's antics, so, in the morning, they shared the remaining apples, each receiving sixteen. How many apples were in the crate originally?

workings hint answer print