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 my way - final answers by Ady TZIDON)

993 mod 6 = 3 -> Statement 1 is false

Posted by Brian Smith on 2016-02-16 12:51:18