Question
Download Solution PDFWhat will be the remainder when (265)4081+ 9 is divided by 266?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
(265)4081 + 9 is divisible by 266
⇒ (266 - 1)4081+ 9
Now when divided by 266,
⇒ \( (266 - 1)^{4081}\over 266\) + \(9 \over 266\)
Remainder from first fraction will be (- 1)4081and + 9 from second fraction
Remainder as whole = - 1 + 9 = 8
∴ Remainder when (265)4081+ 9 is divided by 266 is 8.
Last updated on Jun 13, 2025
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