Random Puzzles 

Workings

Hint
Make sure you answer the question asked.

Answer
10,001.

Workings

Hint
Try to find Drew's boat colours first.

Answer
Alex      Red     + Green
Billie    Green   + Blue
Charlie   Yellow  + Red
Drew      Blue    + Yellow

Reasoning
By (3), Yellow and Blue went together (Combination1: Yellow + Blue).

By (4), Green and Blue went together (Combination2: Green + Blue).

By (2), Billie had Green. By (5), Charlie had Yellow. By (6), Drew had Blue. Giving:
Alex
Billie    Green
Charlie   Yellow
Drew      Blue

By (6), Drew had Blue, but not Green. This can't have been (Combination2: Green + Blue), so must have been (Combination1: Yellow + Blue):
Alex
Billie    Green
Charlie   Yellow
Drew      Blue    + Yellow

By (2), Billie didn't have Red, so Alex and Charlie must have had Red:
Alex      Red
Billie    Green
Charlie   Yellow  + Red
Drew      Blue    + Yellow

Which means that Billie had (Combination2: Green + Blue), and Alex had Green:
Alex      Red     + Green
Billie    Green   + Blue
Charlie   Yellow  + Red
Drew      Blue    + Yellow

Workings

Hint
How many clock minutes pass in a real hour?

Answer
1:20pm.

Reasoning
The clock now shows 10:12am, so we know that 10 x 60 + 12 = 612 clock minutes have passed.

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

So, 612 ÷ 54 ≈ 11.33 real hours have passed.

This equals 680 minutes, which is 11 hours and 20 minutes = 11:20am.

The clock stopped 2 hours ago, therefore the time must now be 1:20pm.

Workings

Hint
Look at the first letters of the months.

Answer
199.

Take the first letter of the month, and find its position in the alphabet: S = 19.

Then take the number of letters in the month: September = 9.
January    10-7
February   6-8
March      13-5
April      1-5
May        13-3
June       10-4
July       10-4
August     1-6
September  19-9