Random Puzzles 

Workings

Hint
Vowels (AEIOU) and consonants are each worth a different number of miles.

Answer
2,200 miles.

Vowels (AEIOU) are worth 300 miles and consonants are worth 200 miles.

Double-Checking
Argentina has 4 vowels (AEIA = 4 x 300), and 5 consonants (RGNTN = 5 x 200), for a total of 1,200 + 1,000 = 1,200 miles.

Workings

Hint
Try writing the numbers as words.

Answer
21.

These are numbers ending in a vowel (AEIOU).

Workings

Hint
The second letter is A.

Answer
Band.

To give armband, and bandstand.

Workings

Hint
The answer involves multiplication (for example, 9 x 8 = 72).

Answer
468.

Reasoning
If we split each line in the following way:

98 68 88
72 48 64
14 32 24

Each new line is generated by multiplying the digits two at a time and writing the result below.

For example, 9 x 8 = 72, so 72 appears directly below 98.

And 7 x 2 = 14, so 14 appears directly below 72.

Double-Checking
9 x 8 = 72 and 7 x 2 = 14.

6 x 8 = 48 and 4 x 8 = 32.

8 x 8 = 64 and 6 x 4 = 24.