Brain Teasers and Puzzles 

Workings

Hint
Snakes don't have legs.

Answer
6 snakes, along with 7 people and 14 lizards.

Reasoning
We know that for each person (2 legs) there were 2 lizards (4 legs each).

Which means for every person, we can count a total of 10 legs.

Snakes don't have legs, so the total of 70 legs must have been 7 people (and 14 lizards).

This is a total of 21 heads, so the remaining 6 heads were all snakes.

Double-Checking
7 people gives 7 heads and 14 feet.

14 lizards gives 14 heads and 56 feet.

6 snakes gives 6 heads and 0 feet.

For a total of 6 + 7 + 14 = 27 heads, and 0 + 14 + 56 = 70 feet.

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
Look at the first and last letters.

Answer
2,300 miles.

Take the alphabetic position of the first and last letters, add them together and multiply by 100. S = 19, D = 4, 19 + 4 = 23, 23 x 100 = 2,300.

Workings

Hint
Does the answer change = YES.

Answer