Classical

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

 
 

Option: C

Explanation :


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

 
 

Option: C

Explanation :


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

 
 

Option: B

Explanation :


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

 
 

Option: B

Explanation :


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

 
 

Option: B

Explanation :




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