 All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars  perplexus dot info  Column Bases (Posted on 2004-12-15) All of the following relationships are correct, except one. Determine the wrong answer and explain why the others are correct.
```A) 5612 ~ 1475
B) 4657 ~ 1210
C) 4326 ~ 1080
D) 2474 ~ 755
E) 1781 ~ 737
```

 See The Solution Submitted by Juggler Rating: 2.0000 (2 votes) Comments: ( Back to comment list | You must be logged in to post comments.) Second Stab | Comment 2 of 7 | For the first group of numbers, let the "thousands" column be base 6, the "hundreds" column be base 8, the "tens" column be base 9, the the ones column can be anything greater than 7.

Then the first column translates to the second column perfectly except for B):
`A) 5612 ~ 1475  B) 4657 ~ 1300C) 4326 ~ 1080  D) 2474 ~ 755  E) 1781 ~ 737`
`For example:5612 --->  5*6^3 + 6*8^2 + 1*9 + 2 = 1475 in decimal4657 --->  4*6^3 + 6*8^2 + 5*9 + 7 = 1300 in decimal4326 --->  4*6^3 + 3*8^2 + 2*9 + 6 = 1080 in decimal2474 --->  2*6^3 + 4*8^2 + 7*9 + 4 =  755 in decimal1781 --->  1*6^3 + 7*8^2 + 8*9 + 1 =  737 in decimal`
`  `

Edited on December 15, 2004, 8:43 pm

Edited on December 15, 2004, 8:44 pm

Edited on December 15, 2004, 8:45 pm
 Posted by Larry on 2004-12-15 20:38:22 Please log in:

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