There is a number formed by n copies of 2020 and 1 in the unit place. If this number is divisible by 11, what is the smallest possible value of n
I'm not exactly sure what you mean by n copies, but I think it might be this...if we apply alternating signs to each digit - generating a sum of the digits - and this sum is either 0 or divisible by 11, then the number is divisible by 11
So
If we repeat 2020 8 times and append 1 at the end
We get
2020 2020 2020 2020 2020 2020 2020 2020 1
If we begin with a plus sign on the first digit, all the digits will be positive and their sum = 33 which is divisible by 11
Note : 202020202020202020202020202020201/11 = 18365472910927456382001836547291
So n = 8