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Multiple Choice Questions - 1st Online Test: Numerical Methods

The document contains a 10 question multiple choice test on numerical methods. The questions cover topics like difference operators, interpolation, extrapolation, Newton's forward and backward interpolation formulas, finite difference operators, and calculating difference equations. The correct answers to each question are provided.

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Shamraiz Khan
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2K views3 pages

Multiple Choice Questions - 1st Online Test: Numerical Methods

The document contains a 10 question multiple choice test on numerical methods. The questions cover topics like difference operators, interpolation, extrapolation, Newton's forward and backward interpolation formulas, finite difference operators, and calculating difference equations. The correct answers to each question are provided.

Uploaded by

Shamraiz Khan
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Multiple choice questions - 1st online test: Numerical Methods.

1. The shifting operator is denoted by ________.

A. E
B. nabla
C. omega
D. T
Ans- A
2. The process of finding the values inside the interval (X0, Xn) is called

A. Interpolation

B. Extrapolation

C. Iterative

D. Polynomial equation

Ans- A

3. The Delta of power two is called the ____order difference operator.

A. First B. second

C. Third D. Fourth

Ans- B

4. Newton forward interpolation formula is used for _________ intervals.

A. open B. unequal

C. equal D. closed

Ans- C

5. For the given distributed data find the value of Δ3y0 is?

x 3.60 3.65 3.70 3.75

y 36.59 38.47 40.44 42.52


8 5 7 1

A. 0.095 B. 0.007

C. 1.872 D. 0.123

Ans- B
6. By using Newton’s backward difference table form the following data:

f (30) = 0.5000, f (35) = 0.5736, f (40) = 0.6428, f (45) = 0.7071. What is the value of ∇3yn?

A. - 0.0049 B. -1.872

C. - 0.0005 D. -0.0469

Ans- C

7. In case of Newton Backward Interpolation Formula which equation is correct to find u?

A. . (x – xn) h = u B. x + xn = uh

C. x – xn = u D x – xn = uh

Ans- D

8. The relationship between E and delta is __________.


A. E =1-delta
B. E =1+delta
C. E = delta-1
D. E = delta
Ans- B

9. Let h be the finite difference, then forward difference operator is defined by ____.

A. f(x) = f(x+h)-f(x)
B. f(x) = f(x-h)-f(x)
C. f(x) = f(x*h)
D. f(x) = f(x)

Ans- A
10. Find Δ (x + cos x)?
A. 1+2sin(x+1/2).sin1/2
B. 1-2sin(x+1/2).sin1/2
C.1-2sin(x-1/2).sin1/2
D.1+2sin(x-1/2).sin1/2
Ans-B

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