# Numerical Analysis MCQs 01

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.

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

2. 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

3. 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

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

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

6. The number of significant digits in 8.00312

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

8. 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

9. Newton Raphson Formula is derived from

10. The method of false position is also known as

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

12. The number of significant figures in 48.710000

13. The rate of convergence of secant method is

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

15. In simpson 1/3 rule, if the interval is reduced by 1/3 rd then the truncation error is reduced to

16. Which of the following is iterative method

17. Method of factorization is also known as

18. The order of convergence of iteration method is

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

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

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

22. Relaxation method is known as

23. 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

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

25. The number of significant figures in 0.021444 is

26. 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

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

28. 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 $\dpi{120}&space;\small&space;x=0,\frac{1}{3},\frac{2}{3},&space;0$

29. 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

30. 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

31. Newton’s method has ____________ convergence

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

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

34. The symbol used for average operator

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

36. which method is known as Regula-Falsi method

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

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

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

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

41. Gauss- Serial iterative method is used to solve

42. The fixed iterative method has ________ converges

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

44.

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

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

46. Bisection method is also known as

47. The rate of convergence of bisection method is

48. The symbol used for shift operator

49. 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

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

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

52. The Regula False method is somewhat similar to

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

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

55. Relative error = ?

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

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

58. 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

59. The symbol used for  forward diffefence operator is

60. The method of successive approximation is known as

61. 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

62. Newton-Raphson method to solve equation having formula

63. The symbol used for backward difference operator

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

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

66. 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

67. The error in Trapezoidal rule is of order of

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

## 7 Replies to “Numerical Analysis MCQs 01”

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