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 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.)
 d1.5 answer | Comment 1 of 12

the number is 457 statement 3 is false

that was my original solution,  somehow I decided to check it and introduced errors,

however 993  also qualifies

Edited on February 16, 2016, 12:25 pm
 Posted by Ady TZIDON on 2016-02-16 08:34:52

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