MCQOPTIONS
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MCQOPTIONS
This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Numerical Analysis knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
The Bisection method has which of the following convergences? |
| A. | Linear |
| B. | Quadratic |
| C. | Cubic |
| D. | Quaternary |
| Answer» B. Quadratic | |
| 2. |
A function is defined as f(x) = x3 x 11 = 0. Between the interval [2,3] find the root of the function by Bisection Method upto 8 iteration? |
| A. | 1.7334 |
| B. | 1.7364 |
| C. | 1.7354 |
| D. | 1.7344 |
| Answer» E. | |
| 3. |
The algorithm provided to find the roots of the function using Bisection Method is given by ____________ |
| A. | Bolzano s theorem |
| B. | Mean Value theorem |
| C. | Bisection theorem |
| D. | Secant theorem |
| Answer» B. Mean Value theorem | |
| 4. |
Find the approximated value of x till 6 iterations for x3-4x+9=0 using Bisection Method. Take a = -3 and b = -2. |
| A. | -2.703125 |
| B. | -1.903125 |
| C. | -3.903125 |
| D. | -0.703125 |
| Answer» B. -1.903125 | |
| 5. |
What is the percentage decrease in an interval containing root after iteration is applied by Bisection Method? |
| A. | 20% |
| B. | 30% |
| C. | 40% |
| D. | 50% |
| Answer» E. | |
| 6. |
If it is provided that f(3) = 4 is one of the initial points. What can be the choice of second point for solving by Bisection Method? |
| A. | -5 such that f(-5) = -26 |
| B. | 0 such that f(0) = 5 |
| C. | -3 such that f(-3) = -2 |
| D. | 13 such that f(13) = 2 |
| Answer» D. 13 such that f(13) = 2 | |
| 7. |
The function on which we use the bisection method is not necessary to be continuous on the interval we choose. |
| A. | True |
| B. | False |
| Answer» C. | |
| 8. |
If a function is defined at 2 points 3 and 7 as f(3)=8 and f(7)=12, it is sufficient to find the roots through Bisection Method. |
| A. | True |
| B. | False |
| Answer» C. | |
| 9. |
Find the root of xe-x -0.3 = 0 using Bisection Method in the interval [1,5]. |
| A. | 1.68 |
| B. | 1.86 |
| C. | 1.88 |
| D. | 1.66 |
| Answer» C. 1.88 | |
| 10. |
Using Bisection method find the root of 3x2 = 5x+2 in the interval [0,3]. |
| A. | 0.617 |
| B. | 0.527 |
| C. | 0.517 |
| D. | 0.717 |
| Answer» D. 0.717 | |