a number N is formed by writing 9 for 99 times

a number N is formed by writing 9 for 99 times what is the remainder if N is divided by 13 

1. 11
2. 9
3. 7
4. 1

we get remainder 0 when 9 is six times ‘999999’. It means The remainder of 999999…99 (96) times is 0 when divide by 13.
So the required remainder =(Remaining 9 for 3 times )/13= 999/13⇒511