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.

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

 
 
 
 

2. Which of the following is iterative method

 
 
 
 

3. Relative error = ?

 
 
 
 

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

 
 
 
 

5. Newton Raphson Formula is derived from

 
 
 
 

6. 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

 
 
 
 

7. The method of successive approximation is known as

 
 
 
 

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

 
 
 
 

9. The Regula False method is somewhat similar to

 
 
 
 

10. which method is known as Regula-Falsi method

 
 
 
 

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

 
 
 
 

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

 
 
 
 

13. 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

 
 
 
 

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

 
 
 
 

15. The method of false position is also known as

 
 
 
 

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

 
 
 
 

17. The symbol used for shift operator

 
 
 
 

18. The fixed iterative method has ________ converges

 
 
 
 

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

 
 
 
 

20. Gauss- Serial iterative method is used to solve

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

25. The symbol used for  forward diffefence operator is

 
 
 
 

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

 
 
 
 

27. Relaxation method is known as

 
 
 
 

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

 
 
 
 

29. 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

 
 
 
 

30. The number of significant figures in 48.710000

 
 
 
 

31. Bisection method is also known as

 
 
 
 

32. Method of factorization is also known as

 
 
 
 

33. The number of significant digits in 8.00312

 
 
 
 

34. The error in Trapezoidal rule is of order of

 
 
 
 

35. The symbol used for backward difference operator

 
 
 
 

36. The number of significant figures in 0.021444 is

 
 
 
 

37. 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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

47. 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

 
 
 
 

48. The order of convergence of iteration method is

 
 
 
 

49. The symbol used for average operator

 
 
 
 

50. Newton’s method has ____________ convergence

 
 
 
 

51. The rate of convergence of bisection method is

 
 
 
 

52. 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

 
 
 
 

53. 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

 
 
 
 

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

 
 
 
 

55. Newton-Raphson method to solve equation having formula

 
 
 
 

56. The rate of convergence of secant method is

 
 
 
 

57. 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

 
 
 
 

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

 
 
 
 

59. 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

 
 
 
 

60. \dpi{120} \small sin x + e^x is

 
 
 
 

61.

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

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

 
 
 
 

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

 
 
 
 

64. 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

 
 
 
 

65. 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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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9 Replies to “Numerical Analysis Multiple Choice Questions Answers”

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