A) 6
B) 8
C) 9
D) 10
Correct Answer: B
Solution :
\[{{5}^{99}}=(5)\,{{({{5}^{2}})}^{49}}=5{{(25)}^{49}}=5{{(26-1)}^{49}}\] = \[5\times (26)\times (\text{Positive terms)--5,}\] So when it is divided by 13 it gives the remainder ? 5 or (13 ? 5) i.e., 8.
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