Hint: For every real hour, how many watch minutes pass?

Answer: 12:11pm.

Since the watch is losing 6 minutes every hour, for every real hour that has passed, the watch will only show 54 minutes (i.e. for every 54 clock minutes, 60 real minutes have passed)

Since the watch shows 10:39am we know:

10:39am = (10 x 60) + 39 = 639 watch minutes

for every 54 watch minutes, 60 real minutes have passed:

(639 ÷ 54) x 60 = 710 real minutes

and converting this to hours:

710 minutes = 11 hours 50 minutes

the watch stopped 21 minutes ago, so the current time is:

12.11pm. QED.

Puzzle 997

Gib is to llams as nepo is to desolc as pu is to ==?==

Hint: It didn't matter how many male or female borrowers there were.

Answer: 4200 books.

It doesn't matter how many female borrowers there were as 1/2 of the females accepted the books, and those that did accepted 6 books, which is 3 books per female on average.

Similarly it doesn't matter how many male borrowers there were as 3/4 of the males accepted 4 books each, which is again 3 books each.

So both the males and females accepted, on average, 3 books each. And 1400 * 3 = 4200. QED.

Puzzle 1000

The International Women's Speed Skating championship was recently completed, however, the computer storing the results suffered from a power cut. Using the following information, can you determine who finished where, their ages (18, 21, 24 and 28) and the colour they wore? The youngest, who didn't wear blue, won the championship. Jessica was three years younger than the person who wore red. Katy performed well to finish in second place. Lauren wore green and Mary was the oldest competitor. The person who wore yellow was younger than Katy, whereas the person who came last was 21.