 All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars  perplexus dot info  1-2-3 Remainder Resolution (Posted on 2016-02-16) 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.

 No Solution Yet Submitted by K Sengupta Rating: 4.5000 (2 votes) Comments: ( Back to comment list | You must be logged in to post comments.) Solution Comment 12 of 12 | The first clue yields a set of 90 numbers - half even, half odd.  Looking at the clues, there is a conflict between clues 2 and three (i.e. division by 5 leaves different remainders), so the false statement must be one of these.

From clue 1, all even number can be eliminated.  Dividing the odd ones by both 6 and 8 reduces the set to these five numbers:

121, 193, 457, 721, 793

After dividing these numbers by 5, 7, and 11, the only one with matching remainders is 457.

 Posted by hoodat on 2016-06-28 05:15:07 Please log in:

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