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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. The rate of convergence of bisection method is


2. Newton-Raphson method to solve equation having formula


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


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


5. 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


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


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


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


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


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


11. 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


12. 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


13. The method of false position is also known as


14. 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


15. 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


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


17. The symbol used for shift operator


18. Bisection method is also known as


19. The rate of convergence of secant method is



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

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


22. The order of convergence of iteration method is


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


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


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


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


27. The number of significant digits in 8.00312


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


29. Relative error = ?


30. 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


31. The method of successive approximation is known as


32. The symbol used for backward difference operator


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


34. 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


35. 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


36. 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


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


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


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


40. Gauss- Serial iterative method is used to solve


41. The symbol used for  forward diffefence operator is


42. Which of the following is iterative method


43. Method of factorization is also known as


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


45. The fixed iterative method has ________ converges


46. Relaxation method is known as


47. The number of significant figures in 48.710000


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


49. Newton’s method has ____________ convergence


50. 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


51. which method is known as Regula-Falsi method


52. 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


53. The symbol used for average operator


54. \dpi{120} \small sin x + e^x is


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


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


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


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


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


60. The number of significant figures in 0.021444 is


61. The Regula False method is somewhat similar to


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


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


64. The error in Trapezoidal rule is of order of


65. Newton Raphson Formula is derived from


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


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


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


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