GATE Engineering Mathematics: Numerical Methods – Previous Year Questions

4 GATE previous year questions on Numerical Methods (Engineering Mathematics, Mining Engineering) with answers and explanations, from every paper.

1. GATE 2021 MN Q31 (1 mark, Numerical answer) – Approximate I= 04x\,dx by Simpson’s 1/3 rule with two subintervals. Round to three decimals.
2. GATE 2024 MN Q40 (2 marks, Multiple choice) – For I= 13(x3+6)dx, find the magnitude of Simpson one-third-rule error using step 1.
3. GATE 2024 MN Q52 (2 marks, Numerical answer) – Apply two bisection iterations on[0, 1] to f(x)=x3-2x2+3x-1. Give the root estimate to two decimals.
4. GATE 2026 MN Q37 (2 marks, Multiple choice) – Data are (x,y)=(2,3),(2.5,3.5),(3,5). Newton’s polynomial is y=b 0+b 1(x-2)+b 2(x-2)(x-2.5). Given b₀=3 and b₁=1, find b₂.