If the remainder when x is divided by 4 is 3, then the remainder when 2020+x2022 is divided by 8 is _____
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answer is 1.
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Detailed Solution
Suppose that x=72020+72022=2024+32022 =2022C0⋅20242022 +......+2022C2021⋅32021+32022 =8 2022C0⋅(2024)2022 +......+2022C2021⋅(2024)132021+1+81011If the above number divide by 8, then the remainder is 1