Random Puzzles 

Workings

Hint
The list is related to numbers.

Answer
Llama.

The length of each word is the same length as the numbers one, two, three, four, five, six, etc.

The next number is SEVEN, which has 5 letters, and llama is the only word with 5 letters.

Workings

Hint
Consonants and vowels (AEIOU) are each worth something.

Answer
12 miles away.

Consonants are worth 2 and vowels (AEIOU) are worth 3.

Double-Checking
York
   3C + 1V = 3 x 2 + 3 = 9
London
   4C + 2V = 4 x 2 + 2 x 3 = 14
Manchester
   7C + 3V = 7 x 2 + 3 x 3 = 23
Leeds
   3C + 2V = 3 x 2 + 2 x 3 = 12

Workings

Hint
There is an officer at B.

Answer
Position officers at B, G and H.

Workings

Hint
Think laterally.

Answer
A mushroom.

Or perhaps elbow room.