# Numerical Analysis Multiple Choice Questions Answers

NA MCQs 01 consist of 68 multiple choice questions. These multiples are very important for all kinds of tests. So attempt these questions to get better results.

Vector and tensor analysis mcqs with answers

This page consist of mcq on numerical methods with answers , mcq on bisection method, numerical methods objective, multiple choice questions on interpolation, mcq on mathematical methods of physics, multiple choice questions on , ,trapezoidal rule , computer oriented statistical methods mcq and mcqs of gaussian elimination method
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1. In simpson 1/3 rule, if the interval is reduced by 1/3 rd then the truncation error is reduced to

2. The root of $\dpi{120}&space;\small&space;x^4&space;-x-10=0$ by using Newton-Raphson 2nd approximation correct answer up to three decimal places is

3. The number of significant figures in 48.710000

4. By using False position 2nd approximation of $\dpi{120}&space;\small&space;x^2-x-1=0$ is

5. The value of $\dpi{120}&space;\small&space;\int_{1}^{10}&space;x^2$ using Trapezoidal rule is

6. The error in Simpson’s 1/3 rule is of order of

7. which method is known as Regula-Falsi method

8. Newton’s method has ____________ convergence

9. The order of convergence of iteration method is

10. The error in Trapezoidal rule is of order of

11. Relaxation method is known as

12. Which of the following is iterative method

13. To evaluate $\dpi{120}&space;\small&space;\int_{0}^{1}&space;f(x)&space;dx$ approximately  which of the following method is used  when the value of f(x) is given only at $\dpi{120}&space;\small&space;x=0,\frac{1}{3},\frac{2}{3},&space;0$

14. The equation $\dpi{120}&space;\small&space;x^2&space;+3x+1=0$ is known as

15. The formula $\dpi{120}&space;\small&space;\int_{x_o}^{x_o&space;+&space;nh}&space;f(x)dx=h[ny_o+\frac{n^2}{2}\Delta&space;y_o+\frac{1}{2}(\frac{n^3}{3}-\frac{n^2}{2})\Delta^2&space;y_o+&space;\frac{1}{6}(\frac{n^4}{4}-n^3+n^2)\Delta^2&space;y_o+...]$ is known as

16. By using Newton-Raphson method  the root b/w 0 and 1  by first approx. of $\dpi{120}&space;\small&space;x^3-6x+4=0$ is

17. The symbol used for backward difference operator

18. The Approximate value of $\dpi{120}&space;\small&space;\int_{0}^{1}&space;x^3&space;dx$ when n=3 using Trapezoidal rule is

19.

1. If $\dpi{120}&space;\small&space;\frac{5}{6}$ ≅ 0.8333 then percentage error is __________ %

20. Newton Raphson Formula is derived from

21. Which of the following is the modification of Guass Elimination method

22. To solve $\dpi{120}&space;\small&space;x^3&space;-x-9=0$  for x near 2 ,with Newton’s method, the correct answer up to three decimal places is

23. Every square matrix can be expressed as product of lower triangular and unit upper triangular matrix _________ method based on this fact

24. The Regula False method is somewhat similar to

25. The fixed point iteration method defined as $\dpi{120}&space;\small&space;x_{n+1}=g(x_n)$ converges if

26. Sum of roots of equation $\dpi{120}&space;\small&space;x^3&space;-&space;7x^2+14x-8=0$ is

27. The Newton-Raphson method  fails if in the neighborhood of root

28. By v using iterative process $\dpi{120}&space;\small&space;x_{n+1}=\frac{1}{2}(x_o&space;+&space;\frac{N}{x_n}),$ the positive square root of 102 correct to four decimal places is

29. Round off error occurers when 2.987654 is rounded off up to 5 significant digits is

30. To solve $\dpi{120}&space;\small&space;x^2&space;-&space;x&space;-2=0$ by Newton-Raphson method  we choose $\dpi{120}&space;\small&space;x_o=1$, then value of $\dpi{120}&space;\small&space;x_2$ is

31. Method of factorization is also known as

32. The fixed iterative method has ________ converges

33. Which of the followong is modefication of Guass-Jocobi method

34. Bisection method is also known as

35. The equation $\dpi{120}&space;\small&space;x^3&space;-&space;log_{10}x&space;+&space;sin&space;x&space;=0$ is known as

36. To find the roots of equation f(x) , Newton’s Iterative formula is

37. The symbol used for average operator

38. The number of significant figures in 0.021444 is

39. If $\dpi{120}&space;\small&space;f(x_n).f(x_{n-1})<0,$ then compute New iteration $\dpi{120}&space;\small&space;x_{n+1}$ when lies b/w

40. Numerical solutions of linear algebraic equations can be obtained by

41. By using Newton-Raphson method to solve $\dpi{120}&space;\small&space;\sqrt{12}$, the correct answer up to three decimal places is

42. The symbol used for shift operator

43. To find the root of equation f(x)=0  in (a,b) , the false position method is given as

44. Newton’s method fails to find the root of f(x)=0 if

45. The False position 2nd approximation of $\dpi{120}&space;\small&space;x^3-9x+1=0$ between 2 and 4 is

46. By using iterative process  $\dpi{120}&space;\small&space;x_{n+1}=\frac{1}{2}(x_n&space;+&space;\frac{N}{x_n}),$ the positive root of 278 to five significant figures is

47. The method of false position is also known as

48. In Simpson’s 1/3 rule , curve of y= f(x) is considered to be a

49. The rate of convergence of Guass-Seidal is twice that of

50. The number of significant digits in 8.00312

51. The symbol used for  forward diffefence operator is

52. Simpson’s rule was exact when applied to any polynomial of

53. Relative error = ?

54. The process of convergence in iterative method is faster than in

55. The smallest +ve root of $\dpi{120}&space;\small&space;x^3-5x+3=0$  lies between

56. $\dpi{120}&space;\small&space;sin&space;x&space;+&space;e^x$ is

57. By using Simpson’s rule, the value of integral $\dpi{120}&space;\small&space;\int_{0}^{1}&space;\frac{1}{1+x^2}dx$=

58. Gauss- Serial iterative method is used to solve

59. By solving $\dpi{120}&space;\small&space;x^2-2x-4=0$ for x near 3 using iterative process , the correct answer up to three decimal places is

60. Newton-Raphson method to solve equation having formula

61. The rate of convergence of secant method is

62. The error in Simpson’s rule when approximating $\dpi{120}&space;\small&space;\int_{1}^{3}&space;\frac{dx}{x}$ is less than

63. Using bisection method , the real roots of $\dpi{120}&space;\small&space;x^3&space;-9x+1=0$ between x=2 and x=4 is near to

64. By using False position method , the 2nd approximation of root of f(x)=0 is

65. The % error in approximating $\dpi{120}&space;\small&space;\frac{4}{3}$ by 1.33 is ________%

66. The roots of equation $\dpi{120}&space;\small&space;x^3-x-9=0$ near x= 2 correct to three decimal places by using Newton-Raphson method

67. The method of successive approximation is known as

68. The rate of convergence of bisection method is

Vector and tensor analysis mcqs with answers

## 8 Replies to “Numerical Analysis Multiple Choice Questions Answers”

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