Explore topic-wise MCQs in Numerical Analysis.

This section includes 9 Mcqs, each offering curated multiple-choice questions to sharpen your Numerical Analysis knowledge and support exam preparation. Choose a topic below to get started.

1.

The equation f(x) is given as x3+4x+1=0. Considering the initial approximation at x=1 then the value of x1 is given as _______________

A. 1.67
B. 1.87
C. 1.86
D. 1.85
Answer» D. 1.85
Discussion
2.

The convergence of which of the following method depends on initial assumed value?

A. False position
B. Gauss Seidel method
C. Newton Raphson method
D. Euler method
Answer» D. Euler method
Discussion
3.

The points where the Newton Raphson method fails are called?

A. floating
B. continuous
C. non-stationary
D. stationary
Answer» E.
Discussion
4.

If f(x) = x2-117 = 0 then the iterative formula for Newton Raphson Method is given by ____________

A. x(n+1)=0.25 [x(n)+ ( frac{166}{x(n)} )]
B. x(n+1)=0.5 [x(n)+ ( frac{166}{x(n)} )]
C. x(n+1)=0.5 [x(n)- ( frac{166}{x(n)} )]
D. x(n+1)=0.25 [x(n)- ( frac{166}{x(n)} )]
Answer» C. x(n+1)=0.5 [x(n)- ( frac{166}{x(n)} )]
Discussion
5.

In Newton Raphson method f (x) for a given point is given by the formula ____________

A. y/x
B. y /x
C. y/x
D. y /x
Answer» E.
Discussion
6.

For decreasing the number of iterations in Newton Raphson method:

A. The value of f (x) must be increased
B. The value of f (x) must be decreased
C. The value of f (x) must be decreased
D. The value of f (x) must be increased
Answer» B. The value of f (x) must be decreased
Discussion
7.

The equation f(x) is given as x2-4=0. Considering the initial approximation at x=6 then the value of x1 is given as ____________

A. 10/3
B. 4/3
C. 7/3
D. 13/3
Answer» B. 4/3
Discussion
8.

The Newton Raphson method is also called as ____________

A. Tangent method
B. Secant method
C. Chord method
D. Diameter method
Answer» B. Secant method
Discussion
9.

The value of y /x in terms of the angle 0 is given by _____________

A. tan
B. sec
C. cot
D. cosec
Answer» B. sec
Discussion