# Multiple Choice Questions (MCQ) and answers on Numerical Methods

**Multiple Choice Questions (MCQ) and answers on Numerical Methods**

**In which of the following method, we approximate the curve of solution by the tangent in each interval.**

- Picard’s method
- Euler’s method
- Newton’s method
- Runge Kutta method

(Ans:b)

** **

**Jacobi’s method is also known as**

- Displacement method
- Simultaneous displacement method
- Simultaneous method
- Diagonal method

(Ans:b)

** **

**The number of significant digits in the number 204.020050 is**

- 5
- 6
- 8
- 9

(Ans:d)

** **

**In general the ratio of truncation error to that of round off error is**

- 2:1
- 1:1
- 1:2
- 1:3

(Ans:a)

** **

**The convergence of which of the following method is sensitive to starting value?**

- False position
- Gauss seidal method
- Newton-Raphson method
- All of these

(Ans:c)

** **

**To perform a Chi-square test **

- Data conform to a normal distribution
- Data be measured on a nominal scale
- Each cell has equal number of frequencies
- All of these

(Ans:d)

** **

**In the Gauss elimination method for solving a system of linear algebraic equations, triangularzation leads to**

- Diagonal matrix
- Lower triangular matrix
- Upper triangular matrix
- Singular matrix

(Ans:c)

** **

**Match the following:**

A. Newton-Raphson 1. Integration

B. Runge-kutta 2. Root finding

C. Gauss-seidel 3. Ordinary Differential Equations

D. Simpson’s Rule 4. Solution of system of Linear Equations

The correct sequence is

- A2-B3-C4-D1
- A3-B2-C1-D4
- A1-B4-C2-D3
- A4-B1-C2-D3

(Ans:a)

** **

**Order of convergence of Regula-Falsi method is**

- 1.321
- 1.618
- 2.231
- 2.312

(Ans:b)

** **

**The expected value of the random variable**

- Will also be the most likely value of the random variable
- Is another term for the mean value
- Is also called the variance
- Cannot be greater than 1

(Ans:b)