Each different capital letter below represents a different digit. Each occurrence of the same capital letter represents the same digit.

ZWEI is a prime number.
DREI is a triangular number (that is, of the form n*(n+1)/2)
VIER is a perfect square.

What do DREI and VIER represent?

Added logic bonus:

If I told you there were no zeros anywhere, and I also told you that giving you the value of Z would allow you to figure out what ZWEI represented, what would you say the value of ZWEI is?

(DREI, VIER)
= (1653, 4356)

Valid values  of ZWEI in conformity with the first part are:
(2053, 2753, 2953, 7253, 7853, 8053, 8753)

Thus, the tenets corresponding to the second part are satisfied whenever:

ZWEI = 8753 

Edited on June 20, 2007, 11:17 am

Posted by K Sengupta on 2007-06-20 11:09:54