Random Puzzles 

Workings

Hint
The answer is in the words given.

Answer
Slow.

Reasoning
Take the third letter of the first word
   + the second letter of the second word
      + plus the first letter of the first word
         + plus the fourth letter of the second word.

Double-Checking
3-1- [1234] -2-4
s-f- [fast] -a-t
o-s- [slow] -l-w

Workings

Hint
Is there a missing letter?

Answer
The entire conundrum does not have the letter E.

However, it does contain every other letter.

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

Hints
The first letters of the words are: P, O, B, C, U, R, D, V, D, D, N, S, B, T, D.

Answers
---cil = pencil ---hid = orchid ---nze = bronze ---ese = cheese ---lug = unplug ---som = ransom ---uxe = deluxe ---uum = vacuum ---arm = disarm ---amo = dynamo ---rby = nearby ---ink = shrink ---sai = bonsai ---too = tattoo ---fen = deafen
Alternative Answers
The following answers use less common words:
 (6) ---som = hansom
 (9) ---arm = rewarm
(12) ---ink = relink
(12) ---ink = unlink