# Numerical Methods - Numerical Methods MCQ

1:

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

 A. False position B. Gauss seidal method C. Newton-Raphson method D. All of these Answer Report Discuss Option: C Explanation : Click on Discuss to view users comments. Write your comments here:
2:

Newton-Raphson method is used to find the root of the equation x2 - 2 = 0.
If iterations are started from - 1, then iterations will be

 A. converge to -1 B. converge to √2 C. converge to -√2 D. no coverage Answer Report Discuss Option: C Explanation : Click on Discuss to view users comments. Write your comments here:
3:

Which of the following statements applies to the bisection method used for finding roots of functions?

 A. Converges within a few iterations B. Guaranteed to work for all continuous functions C. Is faster than the Newton-Raphson method D. Requires that there be no error in determining the sign of the function Answer Report Discuss Option: B Explanation : Click on Discuss to view users comments. CJ said: (2:14pm on Thursday 30th November 2017) The bisection method will not work when attempting to find a root of even multiplicity Write your comments here:
4:

We wish to solve x2 - 2 = 0 by Newton Raphson technique. If initial guess is x0 = 1.0, subsequent estimate of x (i.e. x1)  will be

 A. 1.414 B. 1.5 C. 2.0 D. None of these Answer Report Discuss Option: B Explanation : Click on Discuss to view users comments. Nani said: (3:02am on Saturday 3rd March 2018) X0-(f(x0)/f'x(0)) is 1-(xpower2-2/2x) now x=1 put above equation 1.5 get Write your comments here:
5:

Using Newton-Raphson method, find a root correct to three decimal places of the equation x3 - 3x - 5 = 0

 A. 2.275 B. 2.279 C. 2.222 D. None of these Answer Report Discuss Option: B Explanation : Click on Discuss to view users comments. Write your comments here: