Find the remainder when ($$12^{13}$$ + 12) is divided by 13.

Correct option is D

Concept Used:

​$$(x^3 + y^3) = (x + y) (x^2 + y^2 – xy)$$

then  ($$x^3 + y^3$$​) is divisible by (x + y).

Solution:
Similarly,
​$$(12^{13} + 12)\\(12^{13} + 1) + 11\\\text {As we know, }(12^{13} + 1^{13})\text{ is divisible by} (12 + 1),\\\text{Hence 11 is the remainder.}$$​​