Place the numbers 1 through 9 in the grid below:

   1 2 3  
A |_|_|_|  
B |_|_|_|  
C |_|_|_|  
 

1. The product of the numbers in row C is twice the sum of the numbers in row C.
2. The product of the numbers in column 3 is twice the sum of the numbers in column 3.
3. If you ignore column 1, all the columns have even products.
4. If you take the six-digit number C3 B3 B1 C1 A3 B2 and multiply it by 3, you get the six-digit number B3 B1 C1 A3 B2 C3.

Try to figure it out without using a computer program.

(In reply to Huh? by raegurl317)

I know this is old so you probably won't see it, but I am replying anyway. :P Clue 3 isn't invalid. It doesn't say that column 1 has an odd product. All it says is that if you ignore it, all the columns have even products, or equivalently, "columns 2 and 3 have even products." It is not guaranteeing that column 1 doesn't have an even product.

Posted by Caleb on 2019-03-09 13:49:30