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Question

What is the remainder when (163+173+183+193) is divided by 70?

A
10
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B
20
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C
30
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Solution

163+173+183+193=163+193+173+183 is divisible by (16+19) i.e. 35 and is also divisible by (17+18) i.e. 35 as well. So, (163+173+183+193)=35x+35y, as x+y must be even, hence the given expression is divisible by 70. So, the remainder will be 0.

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