Question Bank • QB_EM_129 MCQ • 1 Mark

Section 1: Engineering Mathematics

Numerical Methods

Subtopic: Numerical integration – trapezoidal and Simpson's rule

Question Statement:

Simpson's $1/3$ rule of numerical integration requires the total number of sub-intervals $n$ to be:

Options:

  • (A) Any positive integer
  • (B) Strictly an even number
  • (C) Strictly an odd number
  • (D) A multiple of 3

Answer Key:

B

Step-by-Step Solution & Explanation

Simpson's $1/3$ rule pairs two adjacent sub-intervals per parabolic arc, thus requiring the total number of sub-intervals $n$ to be an even number. (Simpson's $3/8$ rule requires $n$ to be a multiple of 3).
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