The GATE Grind

GATE Engineering Mathematics: Numerical methods – Previous Year Questions

3 GATE previous year questions on Numerical methods (Engineering Mathematics, Instrumentation Engineering) with answers and explanations, from every paper.

  1. GATE 2022 IN Q34 (1 mark, Numerical answer) – Newton–Raphson is applied to f(x)=x- x=0. Starting with x 0=0, the next approximation x 1 is (two decimal places).
  2. GATE 2024 IN Q34 (1 mark, Numerical answer) – A system satisfies dy/dt=y+2t-t2, with y(0)=1 and 0 t<. Using improved Euler with step size h=0.1, the value of y(0.1) is (two decimal places).
  3. GATE 2025 IN Q37 (2 marks, Multiple choice) – Newton-Raphson method is used to compute the inverse of the number 1.6. Among the following options, the initial guess of the solution that results in…