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.

Sorry to spoil the show, but the problem statement seems incorrect.

With the help of keys 1,2 & 4. We can decide

_ _ 5

2 7 4

8 3 1

if I correctly interpreted key 3, it implies column 1 does not have even product. But having 2 & 8 in A2 & A3 it is not possible.

I think in key 3, column 2 should be asked to be ignored so that we can correctly fill the grid as

6 9 5

2 7 4

8 3 1 

Posted by Rupesh Khandelwal on 2005-05-19 10:35:30