Abe challenges Bee to determine a 3-digit positive integer N.
It is known that the number formed by the last two digits of N when divided by 9, yields a remainder of 3.

Abe makes the following statements, precisely one of which is false:

1. N divided separately by each of 2, 4, 6, and 8 yields a remainder of 1.
2. N divided separately by each of 5 and 7 yields a remainder of 2.
3. N divided separately by each of 5 and 11 yields a remainder of 3.

Determine the value of N from the above statements and given clues.

(In reply to computer solution by Charlie)

Your program stops after finding the 1st answer and misses  993

Posted by Ady TZIDON on 2016-02-16 12:30:43