Random Puzzles 

Workings

Hint
How many watch minutes pass in a real hour?

Answer
12:11pm.

Reasoning
The watch now shows 10:39am, so we know that 10 x 60 + 39 = 639 watch minutes have passed.

Since the watch is losing 6 minutes every hour, for every real hour that has passed, the watch will show 54 minutes.

So, 639 ÷ 54 ≈ 11.8333 real hours have passed.

This equals 710 minutes, which is 11 hours and 50 minutes = 11:50am.

The watch stopped 21 minutes ago, therefore the time must now be 12:11pm.

Workings

Hint
Does the number of adults and children matter?

Answer
3,672.

Reasoning
The actual number of adults and children doesn't actually matter.

If all of the people were adults, then half of them (306) would be given 12 sweets:

  306 x 12 = 3672

If all of the people were children, then three quarters of them (459) would be given 8 sweets:

  459 x  8 = 3672

If there were 512 adults (so 256 would get 12 sweets = 3072) and 100 children (so 75 would get 8 sweets = 600):

  256 x 12 + 75 x 8 = 3672

We can change the numbers of adults and children, but it doesn't change the answer.

The reason for this lies in the fact that ¹/₂ adults x 12 sweets = ³/₄ children x 8 sweets (both are 6).

Workings

Hint
A very tricky puzzle involving prime numbers.

Answer
101.

These are prime numbers, which, when reversed, are also prime.

Workings

Hint
One word starts with T and the other with W.

Answer
Tower and wrote.

While captive in the tower, James wrote an entire book.