Answer
I asked for 7 feet, 4 inches, but Alex brought me 4 feet, 7 inches.
Reasoning
If we label what I asked for as A feet and B inches, which is (12 x A + B) inches, then I actually received B feet and A inches, which is (12 x B + A) inches. Which means that:
5⁄8 x (12 x A + B) = (12 x B + A)
Simplifying gives:
A = 91⁄52 x B
As B is the number of inches, it can only be between 1 and 12 and must give A as a whole number of feet.
B = 4 is the only possible value, which means that A = 7.
So I originally asked for 7 feet, 4 inches.
Double-Checking
I received 4 feet, 7 inches = 55 inches.
I asked for 7 feet, 4 inches = 88 inches, and 88 x 5⁄8 = 55.
After a local bank robbery, five suspects were interviewed.
Below is a summary of their statements.
Police know that each of them told the truth in one of the statements and lied in the other.
From this information, can you work out who committed the crime?
Billie said: It wasn't Chris It was Alex Drew said: It was Chris It wasn't Alex Chris said: It was Billie It wasn't Emery Alex said: It was Emery It wasn't Billie Emery said: It was Drew It was Alex
Reasoning
Since each suspect told the truth just once, Emery's statements mean that it was either Drew or Alex.
If it was Alex, then both of Billie's statements would be true, which isn't allowed (and similarly both of Drew's would be false).
Therefore, it was Drew.
This can be double-checked with all of the other statements.
?
Puzzle 4
Below are safari animals, however, each letter has been replaced by its position in the alphabet, but the spaces between the resulting numbers have been removed.
