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1. Find the remainder when
10 + 102 + 103 + 104 + ........ + 1099 is divided by 6.
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,
Thus, Required remainder is 0.
10 + 102 + 103 + 104 + ........ + 1099 is divided by 6.
Solution:
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,
Thus, Required remainder is 0.