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 re: Flaw in the problem by pcbouhid)

pcbouhid,

I agree with your way of looking at the key. To sum up my understanding -

'If you ignore column 1, all the columns have even products. ' is same as saying 'Columns 2 & 3 have even products'

Thanks,

Rupesh

Posted by Rupesh Khandelwal on 2005-05-21 06:21:53