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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 is also known as ___________________ |
| A. | Binary Chopping |
| B. | Quaternary Chopping |
| C. | Tri region Chopping |
| D. | Hex region Chopping |
| Answer» B. Quaternary Chopping | |
| 2. |
A function is defined as f(x) = x2 – 3. Between the interval [1,2] find the root of the function by Bisection Method. |
| A. | 1.7334 |
| B. | 1.7364 |
| C. | 1.7354 |
| D. | 1.7344 |
| Answer» E. | |
| 3. |
Find a root of f (x) = 3x + sin(x) – ex = 0. Use 6 iterations to find the approximate value of x. |
| A. | 0.3605 |
| B. | 0.3650 |
| C. | 0.3615 |
| D. | 0.3655 |
| Answer» B. 0.3650 | |
| 4. |
Find the approximated value of x till 4 iterations for e-x = 3 log(x) using Bisection Method. |
| A. | 1.197 |
| B. | 1.187 |
| C. | 1.167 |
| D. | 1.176 |
| Answer» C. 1.167 | |
| 5. |
Use Bisection Method to find out the root of x – sinx – 0.5 = 0 between 1 and 2. |
| A. | 1.497 |
| B. | 1.947 |
| C. | 1.479 |
| D. | 1.974 |
| Answer» B. 1.947 | |
| 6. |
A function f(x) is given as e-x * (x2+5x+2) + 1 = 0. Let a = 0 and b = -1. Find the root between a and b using Bisection Method. |
| A. | -0.557 |
| B. | -0.575 |
| C. | -0.775 |
| D. | -0.0577 |
| Answer» D. -0.0577 | |
| 7. |
A function is given by x – e-x = 0. Find the root between a = 0 and b = 1 by using Bisection method. |
| A. | 0.655 |
| B. | 0.665 |
| C. | 0.565 |
| D. | 0.656 |
| Answer» D. 0.656 | |
| 8. |
If a function is real and continuous in the region from a to b and f(a) and f(b) have opposite signs then there is no real root between a and b. |
| A. | and f(b) have opposite signs then there is no real root between a and b.a) True |
| B. | have opposite signs then there is no real root between a and b.a) Trueb) False |
| Answer» C. | |
| 9. |
Find the root of x4-x-10 = 0 approximately upto 5 iterations using Bisection Method. Let a = 1.5 and b = 2. |
| A. | 1.68 |
| B. | 1.86 |
| C. | 1.88 |
| D. | 1.66 |
| Answer» C. 1.88 | |
| 10. |
Using Bisection method find the root of cos(x) – x * ex = 0 with a = 0 and b = 1. |
| A. | 0.617 |
| B. | 0.527 |
| C. | 0.517 |
| D. | 0.717 |
| Answer» D. 0.717 | |