Random Puzzles 

Workings

Hint
Jake also likes skiing.

Answer
Villages.

He only likes words that contain a double letter.

Workings

Hint
One of the words is antelope.

Answers
rdvrk  = aardvark rndr   = reindeer prcpn  = porcupine rhncrs = rhinoceros sqrrl  = squirrel clt    = ocelot or colt frrt   = ferret sknk   = skunk or skink dnky   = donkey ntlp   = antelope

Workings

Hint
Look at a keyboard?

Answer
8 F 7.

This is the sequence F7, F8, F9, F10, F11, F12, written backwards.

Often seen on a computer keyboard.

21F 11F 01F 9F 8F 7F

Workings

Hint
A little algebra might help.

Answer
Width=40, height=20, depth=18.

Reasoning
If we call the height H, the width W and the depth D we have:
   H x W = 800

       H = 800 ÷ W (1)

   W x D = 720

       W = 720 ÷ D (2)

   H x D = 360

       H = 360 ÷ D (3)

Using (1) and (3) we have:
   800   360
   ——— = ———
    W     D

   800 x D = 360 x W

Using (2):
   800 x D = 360 x 720
                   ———
                    D

   800 x D² = 259,200

         D² = 324

          D = 18

Using (2), W = 40.

Using (1), H = 20.