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Why does N=100a+10b+c have the same parity as digit c?

A100a+10b is always odd
Ba+c is always even
C100a+10b is always even
Da+b is always even
Answer & Solution
Correct answer: C. 100a+10b is always even
Removing the even contribution 100a plus 10b leaves the same parity as the units digit.
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