Remainders

It is given a set of numbers { 170; 244; 299; 333; 351; 391; 423; 644 }. Divide this numbers by number 66 and determine set of remainders. As result write sum of this remainders.


Correct result:

s =  281

Solution:

$$\begin{gathered} 170:66=2\mathrm{\mid }38 \\ 244:66=3\mathrm{\mid }46 \\ 299:66=4\mathrm{\mid }35 \\ 333:66=5\mathrm{\mid }3 \\ 351:66=5\mathrm{\mid }21 \\ 391:66=5\mathrm{\mid }61 \\ 423:66=6\mathrm{\mid }27 \\ 644:66=9\mathrm{\mid }50 \\ s=38+46+35+3+21+61+27+50=281 \end{gathered}$$

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