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?
= (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