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What is the remainder when 678 + 687 +...

What is the remainder when
`678 + 687 + 6879 + 6890` is divided by 17 ?

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The individual remainders when 678,687,6879,6890 are divided by 17 are 15,7,11,5,respectively. Hence the requried remainder can be obtained by dividing 15+7+11+5(=38) by 17. Thus the requried remainder is 4.
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