Question

Match the LIST-I with LIST-II:\[\begin{array}{|c|c|} \hline \textbf{LIST-I} & \textbf{LIST-II} \\ \hline \text{A. Gauss Seidel method} & \text{I. Interpolation} \\ \hline \text{B. Forward Newton method} & \text{II. Non-linear Differential equation} \\ \hline \text{C. Runge Kutta method} & \text{III. Numerical Integration} \\ \hline \text{D. Trapezoidal rule} & \text{IV. Linear algebraic equations} \\ \hline \end{array}\] Choose the correct answer from the options given below:

• A. A - I, B - II, C - III, D - IV
• B. A - II, B - III, C - IV, D - I
• C. A - III, B - I, C - II, D - I
• D. A - IV, B - I, C - II, D - III

Hint:

When matching methods to categories, consider the specific purpose of the method: solving equations, integrating, or interpolating.

Answer 1

The Correct Option is C

Step 1: Identify the purpose of each method in LIST-I.
- Gauss Seidel method: Solves Linear Algebraic Equations. - Forward Newton method: Used for Interpolation. - Runge Kutta method: A Numerical Integration technique. - Trapezoidal rule: Another method for Numerical Integration.

Step 2: Match the methods from LIST-I with their corresponding categories in LIST-II.
- A. Gauss Seidel method aligns with IV. Linear algebraic equations. - B. Forward Newton method aligns with I. Interpolation. - C. Runge Kutta method aligns with II. Non-linear Differential equation. - D. Trapezoidal rule aligns with III. Numerical Integration.

Final Answer: \[ \boxed{\text{(C) A - III, B - I, C - II, D - I}} \]