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Multiplication Table (Posted on 2006-07-07) Difficulty: 3 of 5
Imagine a multiplication table (like the one below, except it continues on forever):

   1   2   3   4     
 +---+---+---+---+---
1| 1 | 2 | 3 | 4 |...
 +---+---+---+---+---
2| 2 | 4 | 6 | 8 |...
 +---+---+---+---+---
3| 3 | 6 | 9 | 12|...
 +---+---+---+---+---
4| 4 | 8 | 12| 16|...
 +---+---+---+---+---
 |...|...|...|...|...

Find three of the same number in a straight line somewhere within the table. If this is not possible, show why not.

No Solution Yet Submitted by tomarken    
Rating: 3.0000 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Just from a kid in high school. (kinda a solution if you want) | Comment 8 of 12 |

I don't think it would be possible. Not because of you guys' fancy explinations or whatever. But I think you guys are all reading way to much into the question. I think tomarken means next to each other when he says straight line. So using that it would be impossible because in order to do so you would always have to be multipying one number, A, by  B, C, and D. And since B, C, and D would always be one after the other, they woulb never be the same.

To put it simpler I guess I mean:
       A*B A*C A*D

The products will never be the same.


  Posted by Liz on 2006-07-07 23:35:12
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