Random Puzzles 

Workings

Hint
How many different ways could the sign be placed back?

Answer
I simply pointed Chesterton back the way I had come and this left the sign in its correct orientation.

Workings

Hint
Look at Digit 3 first.

Answer
6394.

Reasoning
Labelling the clues:

Digit 2 is smaller than Digit 4 Digit 4 is two thirds of Digit 1 Digit 1 is two thirds of Digit 3 Digit 3 is three times Digit 2
By (3), Digit 3 is divisible by 3:

   Digit 3 = 3, 6, 9

By (3), Digit 1 is two thirds of Digit 3:

   Digit 1 = 2, 4, 6.

But, by (2), Digit 1 is divisible by 3:

   Digit 1 = 6, and Digit 3 = 9.

By (4), Digit 3 is three times Digit 2:

   Digit 2 = 3.

By (2), Digit 4 is two thirds of Digit 1:

   Digit 4 = 4.

Workings

Hint
The answers are related to time.

Answer
60.

The numbers represent 100 years in a century, 365 days in a year, 24 hours in a day, 60 minutes in an hour and 60 seconds in an minute.

Workings

Hint
One of the words is Antelope.

Answer
ln      =  lion
ntlp    =  antelope
gzll    =  gazelle
strch   =  ostrich
wl      =  owl
rbn     =  robin
rdvrk   =  aardvark
dr      =  deer
clt     =  ocelot or colt
bs      =  ibis