Author |
Topic: 12 DIGIT NUMBERS (Read 316 times) |
|
K Sengupta
Senior Riddler
Gender: 
Posts: 371
|
 |
12 DIGIT NUMBERS
« on: Nov 27th, 2005, 11:24pm » |
 Quote  Modify
|
Place the digits 1,2,3,4,5,6,7,8 and 9 in a 12x12 Square Board with each of the nine digits occurring at least once but not repeated more than three times in any row or any column and all the twenty four 12 Digit Numbers arising out of the rows (reading both left-right and right-left) are different while all the twenty four 12-Digit numbers arising out of the columns (reading both down-up and up-down ) are distinct such that :
(a) All the twenty four 12 Digit Numbers constituted by reading the rows both left-right and right-left are Prime Numbers.
(b) All the twelve 12 Digit Numbers constituted by reading the columns only up-down are in Arithmetic Progression while reading the columns in a down-up manner generates a different Arithmetic Series comprising twelve 12 Digit Numbers.
Would there exist any solution to this problem if Clause-(b) were amended in the following manner?
"(b): All the twelve 12 digit numbers constituted by
reading the columns only up-down describes a Harmonic Series?"
|
| « Last Edit: Nov 27th, 2005, 11:28pm by K Sengupta » |
 IP Logged |
|
|
|
|
RIDDLES SITE
WRITE MATH!
Home 
Help 
Search 
Members 
Login 
Register
Reply
Notify of replies
Send Topic
Print