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CGP EDU Academic Team
Published on: August 13, 2026
The remainder when (2021) 2022 + (2022) 2021 is divided by 7 is
Text Solution
Verified by ExpertsThe correct answer is:
A
(2021) 2022 + (2022) 2021
= (2023 - 2) 2022 + (2023 - 1) 2021
= 7n 1 + 2 2022 + 7 n 2 - 1
= 7(n 1 +n 2 ) + 8 674 -1
= 7(n l +n 2 ) + (1-1) 614 -1
= 7(n 1 +n 2 ) + 7n 3 +1-l
= 7 (n 1 +n 2 + n 3 )
Given number is divisible by 7 hence remainder is zero
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