The GATE Grind

GATE Engineering Mathematics: Numerical Methods: Bisection and Newton-Raphson, numerical differentiation, trapezoidal and Simpson's rules – Previous Year Questions

4 GATE previous year questions on Numerical Methods: Bisection and Newton-Raphson, numerical differentiation, trapezoidal and Simpson's rules (Engineering Mathematics, Aerospace Engineering) with answers and explanations, from every paper.

  1. GATE 2021 AE Q48 (2 marks, Numerical answer) – Approximate 15x2\,dx using four equal intervals. The difference between trapezoidal and Simpson results is (two decimals)
  2. GATE 2023 AE Q12 (1 mark, Multiple choice) – A monotonic continuous function y=f(x) has only one root in x 1<x<x 2. Then
  3. GATE 2025 AE Q44 (2 marks, Numerical answer) – An approximate solution of the equation x3 - 17 = 0 is to be obtained using the Newton-Raphson method. If the initial guess is x o = 2, the value at…
  4. GATE 2024 AE Q31 (1 mark, Numerical answer) – Using Trapezoidal rule with one interval, the approximate value of the definite integral: 12 dx1 + x2 = (rounded off to 2 decimal places).