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NDA 2023 Maths · Mathematics · Binomial Theorem · easy

The sum of the coefficients in the expansion of (2x-3)^5 is

Single correct option

The sum of the coefficients in the expansion of (2x−3)5(2x-3)^5 is
  1. A. 11
  2. B. 55
  3. C. −1-1
  4. D. −243-243
Show answer and solution

Answer: (C) −1-1

The sum of coefficients is the value of the polynomial at x=1x=1: (2−3)5=(−1)5=−1(2-3)^5=(-1)^5=-1. Adding the absolute values of coefficients, or using x=0x=0 (which gives −243-243), answers a different question.
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Original question written in the NDA 2023 Maths pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake