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Puzzle 1
Which is larger:
square feet in half a square milecubic yards in a cubic furlong
Kelly beat Sam in both games, and Reed beat Jamie in both games. The winner in game 1 came second in game 2. Reed won game 2, and Jamie beat Sam in game 1. No player got the same placing twice.
Can you determine who finished where in each game?
Answer
If the sum of the digits is divisible by nine, so is the number.
Add up all of the digits in the number and see if the sum is divisible by 9. If you still can't tell, you can add those digits again to see if the new sum is divisible by 9. You can keep going until you the sum is obviously divisible by 9 or not.
For example, is 486451464 divisible by 9?
Do 4 + 8 + 6 + 4 + 5 + 1 + 4 + 6 + 4 = 42.
Is 42 divisible by 9? Not sure, you can then do:
4 + 2 = 6. Which clearly isn't divisible by 9. So our original number, 486451464, isn't either.
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Puzzle 4
What letter completes this square in the most logical manner?
Y
G
W
A
K
L
?
O
Z
J
P
D
V
F
T
H
Note: this puzzle is not interactive, and the squares cannot be clicked.
Hint
Look at the letter positions in the alphabet.
Answer
R.
If you take the alphabetic positions of each letter in a row, the total is always 56.
Double-Checking
Y + G + W + A = 25 + 7 + 23 + 1 = 56
K + L + R + O = 11 + 12 + 18 + 15 = 56
Z + J + P + D = 26 + 10 + 16 + 4 = 56
V + F + T + H = 22 + 6 + 20 + 8 = 56