Random Puzzles 

Workings

Hint
How much is each vowel (AEIOU) worth?

Answer
29,000 miles.

Reasoning
Each vowel (AEIOU) is worth 4,000 miles and each consonant is worth 5,000 miles.

Double-Checking
Sydney has 1 vowel (E = 1 x 4,000) and 5 consonants (SYDNY = 5 x 5,000) = 29 thousand miles.

Workings

Hint
I bought at least 6 of each stamp.

Answer
Six lots of 4p, 7p. and 19p, and ten lots of 5p and 12p.

Reasoning
For three denominations of stamps, I was asked to buy 6 of each, and for the other two denominations, I had to buy 10 of each.

So I had to buy at least 6 of all five denominations.

This would be for a total of 6 x (4 + 5 + 7 + 12 + 19) = 282p = £2.82.

The remaining 68p has to buy the remaining 8 stamps, 4 of each of the two remaining denominations.

If we just bought 1 of each of the two remaining denominations they would have cost 68 ÷ 4 = 17p.

So the two remaining denominations must have been 5p and 12p.

Double-Checking
 6 x  4 =  24
10 x  5 =  50
 6 x  7 =  42
10 x 12 = 120
 6 x 19 = 114

For a total of 24 + 50 + 42 + 120 + 114 = 350p = £3.50.

Workings

Hint
The answer is in the words given.

Answer
Slow.

Reasoning
Take the third letter of the first word
   + the second letter of the second word
      + plus the first letter of the first word
         + plus the fourth letter of the second word.

Double-Checking
3-1- [1234] -2-4
s-f- [fast] -a-t
o-s- [slow] -l-w

Workings

Hint
Think about the number of legs.

Answer
There are 7 chickens, 28 mice and 280 ants.

Reasoning
For every chicken (2 legs) we have 4 mice (16 legs) and 40 ants (240 legs) = 258 legs.

So we can divide the total number of legs by 258, giving 1,806 ÷ 258 = 7 (chickens).