Answer: Option B $$\eqalign{ & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{(1001)^{2008}} + (1002) \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, \downarrow \cr & {\text{unit digit}} \to {\text{ }}{{\text{1}}^{2008}} + 1002 \cr} $$ Unit digit will be 1 in case of 1 respective of power ⇒ 1 + 1002 = 1003 ⇒ 3 unit digit (last digit)
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