Random Puzzles 

Workings

Hint
Try this with a watch or clock yourself.

Answer
Ten times.

Try this with a watch or clock yourself!

Workings

Hint
There are two sequences.

Answer
26.

There are two alternate series, starting with the first two numbers, and each formed by doubling the preceding number in its own series and subtracting 2.

Workings

Hint
In the road race, where could Charlie have finished?

Answer
Cycling : Billie > Alex > Charlie > Drew

Road race : Drew > Charlie > Billie > Alex

Road Race
In the road race, where could Charlie have finished?

By (4), he wasn't last. By (5), he wasn't first.

By (2), if Charlie was third, then he would have won the cycling, but by (3) Alex beat Charlie in the cycling, so Charlie can't have won the cycling.

So Charlie must have finished in second place.

By (5), Drew was first.

By (1), Alex didn't win the cycling, so by (2) he didn't come third in the road race. Therefore, Alex came last.

Leaving Billie in third place.

Road race : Drew > Charlie > Billie > Alex

Cycling
By (2), Billie won.

By (4), Charlie wasn't last.

By (3), Alex beat Charlie. So Alex finished in second place, with Charlie in third place.

Leaving Drew in last place.

Cycling : Billie > Alex > Charlie > Drew

Workings

Hint
This is a well known nursery rhyme.

Answer
AJCTA.

These are the initial letters from the nursery rhyme 'Jack and Jill went up the hill'. The letters represent 'and Jill came tumbling after'.