Answer: Option D 461 = 4 × 460 = 4 × (44)15 = 4 × (256)15 Now, (xn - an) is divisible by (x - a) for all values of n. ∴ (25615 - 1) is divisible by (256 - 1) i.e., 255 and hence by 51 ⇒ On dividing (256)15 by 51, we get 1 as remainder ⇒ On dividing 460 by 51, we get 1 as remainder ⇒ On dividing 461 by 51, remainder obtained = (4 × 1) = 4
Submit Comment/FeedBack