Allied & ICAR Exam Bank • ALLIED_2764 NAT • 1 Mark

Section 1: Engineering Mathematics

Numerical Methods

Subtopic: Solutions of linear and non-linear algebraic equations

Question Statement:

In the Bisection method, the interval containing the root after $n$ iterations is reduced by a factor of $2^{-n}$. After $5$ iterations, the reduction factor is $1 / k$. The integer $k$ is:

Answer Key:

32

Step-by-Step Solution & Explanation

$2^5 = 32$. Hence $k = 32$.
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