+0  
 
-2
71
4
avatar+212 

(deleted)

 Apr 7, 2020
edited by somehelpplease  May 8, 2020
 #1
avatar+932 
+1

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 as your answer.

 

Hope it helps!

 Apr 7, 2020
 #2
avatar+4569 
+1

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!

 Apr 7, 2020
edited by tertre  Apr 7, 2020
 #3
avatar+932 
+2

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

 Apr 7, 2020
 #4
avatar+212 
+3

3 was correct, thanks! :D 

 Apr 7, 2020

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