Algebraic Equations MCQ

Test your knowledge with important Algebraic Equations MCQ and their applications. These MCQs are beneficial for competitive exams too. Explore 30+ more Algebraic Equations MCQs on Bissoy. Bissoy App

• Number of iteration depends on the _________
  ক

  Initial value taken to start the iteration

  খ

  Type of linear equations

  গ

  Number of unknowns

  ঘ

  Approximations to be done
• Which of the following is not an iterative method?
  ক

  Jacobi’s method

  খ

  Gauss Seidal method

  গ

  Relaxation method

  ঘ

  Gauss Jordan method
• Why iterative methods are called as self correcting?
  ক

  Iterations involve repetition

  খ

  Checks occurring during the process ensure that the errors are reduced

  গ

  Any error made at any stage of computation gets automatically corrected in the subsequent steps

  ঘ

  After each step, validity of the method is checked.
• Iteration is also called as ________
  ক

  Accurate process

  খ

  Self-correcting process

  গ

  Approximate process

  ঘ

  Rounding off process
• In an iterative method, the amount of computation depends on the _________
  ক

  Number of variables

  খ

  Degree of accuracy

  গ

  Rounding of errors

  ঘ

  Ease of using the operators
• What is the primary drawback of using direct methods of solution?
  ক

  They yield solution after a certain amount of fixed computation

  খ

  They have large calculations involved

  গ

  They make use of back substitution

  ঘ

  They do not achieve the desirable accuracy
• The process of constructing a sequence of vectors and obtaining the solution of a system using specified accuracy is called _________
  ক

  Elimination

  খ

  Reduction

  গ

  Iteration

  ঘ

  Raphson method
• The time taken to solve a system of equations using direct method is more than the time taken by iterative methods.
  ক

  True

  খ

  False
• How can we avoid instability?
  ক

  Reformulation of problem suitably

  খ

  Making small changes in the coefficients of equations

  গ

  Choosing the method involving higher computations

  ঘ

  Rounding off the errors
• 1.01x + 2y and x + 2y = 2 is well conditioned set of linear equations.
  ক

  True

  খ

  False
• When the linear system is called ill conditioned?
  ক

  If small changes in the coefficients of equations result in large changes in the values of the unknowns

  খ

  If reduction is done in the problem

  গ

  If the programming of linear system is expensive

  ঘ

  If small changes in the coefficients of equations result in small changes in the values of the unknowns
• What is inherent instability?
  ক

  Instability due to convergence of solution

  খ

  Instability due to ill conditioned set of equations

  গ

  Instability due to propagation of rounding of errors

  ঘ

  Instability due to incorrect choice of method of solution
• What is induced instability?
  ক

  Instability due to reduction in problem

  খ

  Instability due to number of computations

  গ

  Instability due to errors in programming

  ঘ

  Instability due to incorrect choice of method for solving equations
• How many types of instabilities occur while solving a linear system of equations?
  ক

  2

  খ

  3

  গ

  4

  ঘ

  5
• What are the advantages of direct methods for solving the simultaneous algebraic equations?
  ক

  Rounding of errors get propagated

  খ

  Quite time consuming

  গ

  Requires more recording of data

  ঘ

  Yield a solution after a finite number of steps for any non-singular set of equations
• Which of the following method generally converges the solution?
  ক

  Hit and trial method

  খ

  Approximation method

  গ

  Iterative method

  ঘ

  Direct method
• Direct methods are preferred over iterative methods as they provide solution faster.
  ক

  True

  খ

  False
• How many types of methods are there to solve simultaneous algebraic equations?
  ক

  2

  খ

  3

  গ

  4

  ঘ

  5
• Which of the methods is direct method for solving simultaneous algebraic equations?
  ক

  Jacobi’s method

  খ

  Relaxation method

  গ

  Cramer’s rule

  ঘ

  Gauss seidel method
• The problems which deal with the analysis of electronic circuits consisting of invariant elements depend on __________
  ক

  The solution of simultaneous algebraic equations

  খ

  Solution of transcendental equations

  গ

  Interpolation problems

  ঘ

  Finite difference method