Random Puzzles 

Workings

Hint
Look for the question.

Answer
N.

Reasoning
Starting with the first letter and taking every other letter gives: TO BE OR NOT TO BE TH

Starting with the second letter and taking every other letter gives: AT IS THE QUESTIO

Combining gives: TO BE OR NOT TO BE THAT IS THE QUESTIO, and the last letter of QUESTION is missing.

Workings

Hint
Think of the whole alphabet, and not just the vowels (AEIOU).

Answer
8,300.

Each letter of the country is worth 100 miles based on its position in the alphabet.

Therefore, Germany = 7 + 5 + 18 + 13 + 1 + 14 + 25 = 83 x 100 miles.

Workings

Hint
What can digit 4 be?

Answer
6849.

Reasoning
Digit 4 must be a multiple of 3:
   ---3
   ---6
   ---9

Digit 3 is one more than Digit 9 ÷ 3:
   --23
   --36
   --49

Digit 2 is twice Digit 3:
   -423
   -636
   -849

But Digit 4 is one more than Digit 2, which only leaves:
   -849

And Digit 1 is three smaller than Digit 4:
   6849.

Workings

Hint
Look closely at the beginnings and the ends of the words.

Answer
Ice.

Each word begins with the last two letters of the previous word.