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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.

3000+ Mathematics all subject MCQs with their Answeers


Soultion of Book differential equation Boundary Value Problem &th Editions By DG ZILL

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

7.

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

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

 
 
 
 

9. Bisection method is also known as

 
 
 
 

10. The equation \dpi{120} \small x^2 +3x+1=0 is known as

 
 
 
 

11. The rate of convergence of bisection method is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

16. The number of significant figures in 48.710000

 
 
 
 

17. The order of convergence of iteration method is

 
 
 
 

18. The symbol used for shift operator

 
 
 
 

19. The symbol used for average operator

 
 
 
 

20. The method of false position is also known as

 
 
 
 

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

 
 
 
 

22. Newton’s method has ____________ convergence

 
 
 
 

23. The symbol used for backward difference operator

 
 
 
 

24. Which of the following is iterative method

 
 
 
 

25. The % error in approximating \dpi{120} \small \frac{4}{3} by 1.33 is ________%

 
 
 
 

26. Newton-Raphson method to solve equation having formula

 
 
 
 

27. Method of factorization is also known as

 
 
 
 

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

 
 
 
 

29. Newton Raphson Formula is derived from

 
 
 
 

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

 
 
 
 

31. Relaxation method is known as

 
 
 
 

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

 
 
 
 

33. The rate of convergence of secant method is

 
 
 
 

34. Sum of roots of equation \dpi{120} \small x^3 - 7x^2+14x-8=0 is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

37. The symbol used for  forward diffefence operator is

 
 
 
 

38. The Regula False method is somewhat similar to

 
 
 
 

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

 
 
 
 

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

 
 
 
 

41. Relative error = ?

 
 
 
 

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

 
 
 
 

43. which method is known as Regula-Falsi method

 
 
 
 

44. The smallest +ve root of \dpi{120} \small x^3-5x+3=0  lies between

 
 
 
 

45. The number of significant digits in 8.00312

 
 
 
 

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

 
 
 
 

47. \dpi{120} \small sin x + e^x is

 
 
 
 

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

 
 
 
 

49. The number of significant figures in 0.021444 is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

54. The fixed iterative method has ________ converges

 
 
 
 

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

 
 
 
 

56. The error in Trapezoidal rule is of order of

 
 
 
 

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

 
 
 
 

58. Gauss- Serial iterative method is used to solve

 
 
 
 

59. The value of \dpi{120} \small \int_{1}^{10} x^2 using Trapezoidal rule is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

62. The equation \dpi{120} \small x^3 - log_{10}x + sin x =0 is known as

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

68. The method of successive approximation is known as

 
 
 
 

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9 comments

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