Question:
The remainder when (2021)2023 is divided by 7 is
The remainder when (2021)2023 is divided by 7 is
Updated On: Oct 7, 2024
1
2
5
6
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The Correct Option is C
Solution and Explanation
The correct answer is (C) : 5
2021 ≡ –2 (mod 7)
⇒ (2021)2023 ≡–(2)2023 (mod 7)
≡ –2(8)674 (mod 7)
≡ –2(1)674 (mod 7)
≡ –2(mod 7)
≡ 5(mod 7)
So when (2021)2023 is divided by 7, remainder is 5.
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The binomial theorem formula is used in the expansion of any power of a binomial in the form of a series. The binomial theorem formula is
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