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Railways PYQCBT 1 2016

RRB NTPC · Question 51

Dividing (x^80 + x^40 + 5) by (x^8 + 1) gives the remainder as ______. A. 5 B. 8 C. 12 D. 13

  1. A

  2. B

  3. D

  4. C

Show answer & explanation

Answer: (A) A

Explanation

By the remainder theorem, put x⁸ = −1: x⁸⁰ = (x⁸)¹⁰ = 1 and x⁴⁰ = (x⁸)⁵ = −1. Remainder = 1 − 1 + 5 = 5.