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.
???
Puzzle 410
Hidden in the grid below are six hidden animals. The letters are in sequence, but you move from letter to letter using the moves of a chess knight.
Once you have crossed off all of the animals, you will be left with seven unused letters. What animal do these letters spell?
O
I
A
A
L
T
F
R
E
E
R
F
N
H
K
P
G
L
N
A
E
G
D
A
N
L
E
T
O
A
O
A
H
G
E
A
O
R
M
P
E
P
S
O
T
T
A
E
R
The moves of a knight are:
Note: this puzzle is not interactive, and the letters cannot be clicked.
Reasoning
The original large cube with 16 small cubes along each edge would require 16 x 16 x 16 = 4,096 small cubes.
Removing the outside layer would leave a large cube now with 14 small cubes along each edge (which requires 14 x 14 x 14 = 2,744 small cubes).
It isn't 15 small cubes because you're removing both ends of an edge.
Therefore, you have removed 4,096 − 2,744 = 1,352 small cubes.
?
Puzzle 412
The BrainBashers football world tour is well underway and Alex is planning the journey to each country.
Unfortunately, the BrainBashers atlas software is playing up again and has worked out the mileage incorrectly, as shown below.
China 3,500
Finland 6,000
Chile 3,700
Jamaica 3,800
Wales 6,000
According to the software, how many miles is it to Germany?
