Guest Posted March 23, 2010 Report Share Posted March 23, 2010 (edited) A six digit positive octal (base 8) integer of the form TOWARD is such that: The octal number denoted by TO is divisible by 2, and: The octal number denoted by OW is divisible by 3, and: The octal number denoted by WA is divisible by 4, and: The octal number denoted by AR is divisible by 5, and: The octal number denoted by RD is divisible by 6 Each of the capital letters denotes a different octal digit from 0 to 7, and T is nonzero. Determine the respective minimum value and the maximum value that TOWARD can assume. Edited March 23, 2010 by K Sengupta Quote Link to comment Share on other sites More sharing options...
0 Glycereine Posted March 23, 2010 Report Share Posted March 23, 2010 103254 763254 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 23, 2010 Report Share Posted March 23, 2010 Min: 103482 (32 isn't divisible by 4 in octal!) Max: 763482 Quote Link to comment Share on other sites More sharing options...
0 Glycereine Posted March 23, 2010 Report Share Posted March 23, 2010 Min: 103482 (32 isn't divisible by 4 in octal!) Max: 763482 Arg, you're right. However your answer isnt because there's no 8 in octal either... Quote Link to comment Share on other sites More sharing options...
0 Glycereine Posted March 23, 2010 Report Share Posted March 23, 2010 125430 741052 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 23, 2010 Report Share Posted March 23, 2010 Max: 763052 Min: 125430 Quote Link to comment Share on other sites More sharing options...
0 Glycereine Posted March 23, 2010 Report Share Posted March 23, 2010 Max: 763052 Min: 125430 You are correct and I even tried your max number but screwed something up in checking it. So I agree with what you have Quote Link to comment Share on other sites More sharing options...
Question
Guest
A six digit positive octal (base 8) integer of the form TOWARD is such that:
The octal number denoted by TO is divisible by 2, and:
The octal number denoted by OW is divisible by 3, and:
The octal number denoted by WA is divisible by 4, and:
The octal number denoted by AR is divisible by 5, and:
The octal number denoted by RD is divisible by 6
Each of the capital letters denotes a different octal digit from 0 to 7, and T is nonzero.
Determine the respective minimum value and the maximum value that TOWARD can assume.
Edited by K SenguptaLink to comment
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