Number Theory Bases Question

The base 6 number when converted to base 10 is 437+42d. From here, we try the numbers 1-5 to see what makes it a multiple of 11 and we get 3 as your answer.

Hope it helps!

2dd56 _ 6 to base ten is...

(2*6^3)+(d*6^2)+(d*6^1)+(5*6^0)=432+36d+6d+5=437+42d...

437 + 42d has to be divisible by eleven...

437 mod 11 = 8

Thus, the least number is d=3..

Yes, @below, I forgot. Thank you!

I think you're 1 off, 441 is NOT divisible by 11, you would get 1 mod(11) if you add 4.

3 was correct, thanks! :D