1.

Dividing (x80 + x40 + 5) by (x8 + 1) gives the remainder as ______.A. 5B. 8C. 12D. 131. A2. B3. D4. C

Answer» Correct Answer - Option 1 : A

Calculations :

(x80 + x40 + 5) = x(8 × 10) + x(8 × 5) + 5 

⇒ (x8)10 + (x8)5 + 5 

Now to get the remainder for (x80 + x40 + 5) when dividing it by x8 + 1, we should put x+ 1 = 0 or x8 = -1 in given equation 

⇒ (x8)10 + (x8)5 + 5 

⇒ (-1)10 + (-1)5 + 5     (x8 + 1 = 0 or x8 = -1)

⇒ 1 - 1 + 5 

⇒ 5 

∴ Option A will be the correct answer.



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