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.

  1. Picard’s method
  2. Euler’s method
  3. Newton’s method
  4. Runge Kutta method

(Ans:b)

 

Jacobi’s method is also known as

  1. Displacement method
  2. Simultaneous displacement method
  3. Simultaneous method
  4. Diagonal method

(Ans:b)

 

The number of significant digits in the number 204.020050 is

  1. 5
  2. 6
  3. 8
  4. 9

(Ans:d)

 

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

  1. 2:1
  2. 1:1
  3. 1:2
  4. 1:3

(Ans:a)

 

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

  1. False position
  2. Gauss seidal method
  3. Newton-Raphson method
  4. All of these

(Ans:c)

 

To perform a Chi-square test

  1. Data conform to a normal distribution
  2. Data be measured on a nominal scale
  3. Each cell has equal number of frequencies
  4. All of these

(Ans:d)

 

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

  1. Diagonal matrix
  2. Lower triangular matrix
  3. Upper triangular matrix
  4. 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

  1. A2-B3-C4-D1
  2. A3-B2-C1-D4
  3. A1-B4-C2-D3
  4. A4-B1-C2-D3

(Ans:a)

 

Order of convergence of Regula-Falsi method is

  1. 1.321
  2. 1.618
  3. 2.231
  4. 2.312

(Ans:b)

 

The expected value of the random variable

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

(Ans:b)