Puzzle: Numbers without using '6'

[Eccentric]

Originally Posted by DesiGuru

Now that is a impressive way to get the solution.
Eccentric did you get it on your own or its the solution given in mindsport??
Unless ur a polymath, thinking like the above is rare...

Good Job!
K

Now whats' a polymath?? I presume that I am not one and I still managed to solve that on my own!

[reachmonil]

Originally Posted by Eccentric

The question doesn't say that there are 10000000 numbers in the listy. It just say all number less than 10000000 not containing '6', hence 10000000 is already in base 9 form.
There are only 9^8 numbers in the list.!

The question asks for all numbers less that 10000000, (This is the number on top of list) Had we been using only two digits 0,1 (binary) the 2nd number from top would have been 1111111. If we are using base 9(9 digits 0 1 2 3 4 5 6 7 , 2nd number is 8888888. Both these are subraction of 1 from 10000000, in different bases. I hope you got that !

Now in case I need 2nd number from top, for binary I should subtract 10 from original number. That is why I subtract base9 from of 66666 from 10000000.

Yups.... gotch it!! thanx for the explaination!

[Govi]

Originally Posted by DesiGuru

Now that is a impressive way to get the solution.
Eccentric did you get it on your own or its the solution given in mindsport??
Unless ur a polymath, thinking like the above is rare...

Good Job!
K

hey eccentric

that certainly was difficult to strike...... R u Raman Singh by any chance

cos the same solution is posted by him in MINDSPORT, there are other solutions as well but all have used computer prog. also i think there was a typing error

"convert this to base 10, so that 6 is missing (as specified above, 6 by 7, 7 by 8 and 8 by 9) Answer = 9888597."


cos the answer is 9888497

Regads

Govi...........

[Eccentric]

Originally Posted by Govi

hey eccentric

that certainly was difficult to strike...... R u Raman Singh by any chance

cos the same solution is posted by him in MINDSPORT, there are other solutions as well but all have used computer prog. also i think there was a typing error

"convert this to base 10, so that 6 is missing (as specified above, 6 by 7, 7 by 8 and 8 by 9) Answer = 9888597."


cos the answer is 9888497

Regads

Govi...........

Yep you are right 4 is not to be replaced by 5. Mistake !!

No I am not Raman Singh but I solved this myself, may be Raman singh copied it... you go his phone number by any chance..

[DesiGuru]

Yes even if the scale is 6-less, digits 6 above have to be replaced with +1.
Those less than 6 stay the same.

K