What will be the remainder when is divided by 266?

Correct option is A

Given:

We need to find the remainder when $$(265)^{4081} + 9$$​ is divided by 266.
Concept Used:
Since 265 is just 1 less than 266, we can simplify the expression using the property of powers and moduli:
​$$(265)^{4081} \mod 266$$​​
is equivalent to:
​$$(-1)^{4081} \mod 266$$​​
Solution:
Since 4081 is an odd number:
​$$(-1)^{4081} = -1$$​​
Thus, the expression becomes:
​$$(265)^{4081} + 9 = -1 + 9 = 8$$​​
Therefore, the remainder when  is divided by 266 is 8.
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