Allied & ICAR Exam Bank • ALLIED_0803 MCQ • 1 Mark

Section 1: Engineering Mathematics

Numerical Methods

Subtopic: Numerical integration – trapezoidal and Simpson's rule

Question Statement:

Simpson's $1/3^{\text{rd}}$ rule requires the number of sub-intervals $n$ to be:

Options:

  • (A) An even integer
  • (B) An odd integer
  • (C) A multiple of 3
  • (D) A prime number

Answer Key:

A

Step-by-Step Solution & Explanation

Simpson's $1/3^{\text{rd}}$ rule fits parabolas across pairs of sub-intervals, requiring an even number of intervals ($n = 2, 4, 6, \dots$).
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