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 Flaw in the problem by Rupesh Khandelwal)

Rupesh,

I disagree with your interpretation of key (3). There's nothing said about column (1).

It's the same that the following :

a) If it rains tomorrow, I will go to the movie.

It occurs that it doesn't rain. I could go to the movie, because I didn't say nothing about "and if it doesn't rain ?" 

Posted by pcbouhid on 2005-05-19 17:14:00