MCQOPTIONS
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MCQOPTIONS
This section includes 657 Mcqs, each offering curated multiple-choice questions to sharpen your Testing Subject knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
How can we avoid instability? |
| A. | Reformulation of problem suitably |
| B. | Making small changes in the coefficients of equations |
| C. | Choosing the method involving higher computations |
| D. | Rounding off the errors |
| Answer» B. Making small changes in the coefficients of equations | |
| 2. |
1.01x + 2y and x + 2y = 2 is well conditioned set of linear equations. |
| A. | True |
| B. | False |
| Answer» C. | |
| 3. |
If approximate solution of the set of equations, 2x+2y-z = 6, x+y+2z = 8 and -x+3y+2z = 4, is given by x = 2.8 y = 1 and z = 1.8. Then, what is the exact solution? |
| A. | x = 3 , y = 1 , z =2 |
| B. | x = 1 , y = 2 , z =2 |
| C. | x = 2 , y = 3 , z = 1 |
| D. | x = 1 , y = 3 , z = 2 |
| Answer» B. x = 1 , y = 2 , z =2 | |
| 4. |
When the linear system is called ill conditioned? |
| A. | If small changes in the coefficients of equations result in large changes in the values of the unknowns |
| B. | If reduction is done in the problem |
| C. | If the programming of linear system is expensive |
| D. | If small changes in the coefficients of equations result in small changes in the values of the unknowns |
| Answer» B. If reduction is done in the problem | |
| 5. |
What is inherent instability? |
| A. | Instability due to convergence of solution |
| B. | Instability due to ill conditioned set of equations |
| C. | Instability due to propagation of rounding of errors |
| D. | Instability due to incorrect choice of method of solution |
| Answer» C. Instability due to propagation of rounding of errors | |
| 6. |
What is induced instability? |
| A. | Instability due to reduction in problem |
| B. | Instability due to number of computations |
| C. | Instability due to errors in programming |
| D. | Instability due to incorrect choice of method for solving equations |
| Answer» E. | |
| 7. |
How many types of instabilities occur while solving a linear system of equations? |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| Answer» B. 3 | |
| 8. |
What are the advantages of direct methods for solving the simultaneous algebraic equations? |
| A. | Rounding of errors get propagated |
| B. | Quite time consuming |
| C. | Requires more recording of data |
| D. | Yield a solution after a finite number of steps for any non-singular set of equations |
| Answer» E. | |
| 9. |
Which of the following method generally converges the solution? |
| A. | Hit and trial method |
| B. | Approximation method |
| C. | Iterative method |
| D. | Direct method |
| Answer» D. Direct method | |
| 10. |
Direct methods are preferred over iterative methods as they provide solution faster. |
| A. | True |
| B. | False |
| Answer» C. | |
| 11. |
How many types of methods are there to solve simultaneous algebraic equations? |
| A. | 2 |
| B. | 3 |
| C. | 4 |
| D. | 5 |
| Answer» B. 3 | |
| 12. |
Which of the methods is direct method for solving simultaneous algebraic equations? |
| A. | Jacobi s method |
| B. | Relaxation method |
| C. | Cramer s rule |
| D. | Gauss seidel method |
| Answer» D. Gauss seidel method | |
| 13. |
The problems which deal with the analysis of electronic circuits consisting of invariant elements depend on __________ |
| A. | The solution of simultaneous algebraic equations |
| B. | Solution of transcendental equations |
| C. | Interpolation problems |
| D. | Finite difference method |
| Answer» B. Solution of transcendental equations | |