GATE EC 2014 Set 3 — Question 13

MCQ+1 / -0.33EasyGaussian EliminationLinear AlgebraEngineering MathematicsCalculusDifferential Equations

Engineering Mathematics → Calculus → Gaussian Elimination

Last updated 5 September 2026

Question

Match the application to appropriate numerical method. Application Numerical Method P1: Numerical integration M1: Newton-Raphson Method P2: Solution to a transcendental equation M2: Runge-Kutta Method P3: Solution to a system of linear equations M3: Simpson’s 1/3-rule P4: Solution to a differential equation M4: Gauss Elimination Method

Application	Numerical Method
P1: Numerical integration	M1: Newton-Raphson Method
P2: Solution to a transcendental equation	M2: Runge-Kutta Method
P3: Solution to a system of linear equations	M3: Simpson’s 1/3-rule
P4: Solution to a differential equation	M4: Gauss Elimination Method

Correct answer (B) P1—M3, P2—M1, P3—M4, P4—M2 Solution The correct matching of applications to numerical methods is: P1 (Numerical integration) : Simpson’s 1/3-rule (M3) is a standard method for numerical integration. P2 (Solution to a transcendental equation) : Newton-Raphson Method (M1) is a popular iterative method for finding roots of equations. P3 (Solution to a system of linear equations) : Gauss Elimination Method (M4) is a direct method for solving linear systems. P4 (Solution to a differential equation) : Runge-Kutta Method (M2) is a widely used iterative method for solving ordinary differential equations. Thus, the correct sequence is P1—M3, P2—M1, P3—M4, P4—M2, which corresponds to option (B). Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.

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Correct answer (B) P1—M3, P2—M1, P3—M4, P4—M2 Solution The correct matching of applications to numerical methods is: P1 (Numerical integration) : Simpson’s 1/3-rule (M3) is a standard method for numerical integration. P2 (Solution to a transcendental equation) : Newton-Raphson Method (M1) is a popular iterative method for finding roots of equations. P3 (Solution to a system of linear equations) : Gauss Elimination Method (M4) is a direct method for solving linear systems. P4 (Solution to a differential equation) : Runge-Kutta Method (M2) is a widely used iterative method for solving ordinary differential equations. Thus, the correct sequence is P1—M3, P2—M1, P3—M4, P4—M2, which corresponds to option (B).

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