Find the remainder when
10 + 102 + 103 + 104 + ........ + 1099 is divided by 6.
B. 1
C. 2
D. 3
E. None of these
Answer: Option A
Solution (By Examveda Team)
The remainder when 10 is divided by 6 is 4.The remainder when 102 is divided by 6 is 4.
The remainder when 103 is divided by 6 is 4.
The remainder when 104 is divided by 6 is 4.
Thus, remainder is always 4.
So, the required remainder,
$$\eqalign{ & = \frac{{4 + 4 + 4 + 4 + \,.....\,99{\text{ times}}}}{6} \cr & = \frac{{396}}{6} \cr} $$
Thus, Required remainder is 0.
This Question Belongs to Arithmetic Ability >> Number System
Why four is adding ninghty nine times and dividing by six there
Why4 is adding 99 times and dividing6