I think Ques. should be like this
123123...... 300 digits
(a) This no. is divisible by 11
(b) for divisibility by 9 = 3*100(3 digit is appearing 100 times) + 2*100+1*100
= 600
600 will give 6 Rem when divided by 9
So as per Chinese Them. 11x = 9y+6
So the smallest no is 33, which is divisible by 11 and gives 6 rem when/9. hope it is clear.
If Ques is same as provided by u, then
123123......... 300 times
(1) this no is divisible by 11
(2) 3*300 + 2*300 + 1*300 = 1800 which is also divisible by 9
so Ans is 0 (no rem.)
Hope you are clear now. |