NUMERICAL ANALYSIS EXAMINATION QUESTIONS AND CORRECT ANSWER WITH EXPLANATION GRADED A+ STUDY GUIDE

NUMERICAL ANALYSIS EXAMINATION QUESTIONS AND
CORRECT ANSWER WITH EXPLANATION GRADED A+
STUDY GUIDE SOUTHERN NEW HAMPSHIRE UNIVERSITY
1. Numerical analysis is the study of:
A. Algorithms for solving mathematical problems numerically
B. Drawing graphs only
C. Writing essays
D. Guessing answers
Answer: A
Rationale: It focuses on computational methods.

2. The main purpose of numerical analysis is to:
A. Approximate solutions
B. Avoid calculations
C. Memorize formulas only
D. Draw diagrams
Answer: A
Rationale: Exact solutions are not always possible.

3. An iterative method is:
A. A repeated approximation process
B. A single calculation
C. A diagram
D. A constant value
Answer: A
Rationale: Uses repetition to improve accuracy.

4. A numerical method is used when:
A. Exact solution is difficult
B. Solution is obvious
C. No data exists
D. Only graphs are needed
Answer: A
Rationale: For complex problems.

5. Error in numerical analysis is:
A. Difference between exact and approximate value

, B. Mean value
C. Graph error only
D. Constant value
Answer: A
Rationale: Accuracy measure.

6. Absolute error is:
A. |True value − Approximate value|
B. Sum of values
C. Product of values
D. Ratio only
Answer: A
Rationale: Magnitude of error.

7. Relative error is:
A. Error divided by true value
B. Error × true value
C. Mean error
D. Zero always
Answer: A
Rationale: Proportional error.

8. Percentage error is:
A. Relative error × 100%
B. Error only
C. Mean only
D. Constant
Answer: A
Rationale: Expressed in percentage.

9. Convergence means:
A. Sequence approaches a value
B. Values diverge
C. Random behavior
D. No solution
Answer: A
Rationale: Stability of method.

10. Divergence means:
A. Sequence moves away from value

, B. Converges
C. Becomes constant
D. No change
Answer: A
Rationale: Unstable behavior.

11. A root of equation is:
A. Value making equation zero
B. Random number
C. Maximum value
D. Minimum value
Answer: A
Rationale: Solution of equation.

12. Bisection method is based on:
A. Interval halving
B. Random guessing
C. Differentiation
D. Integration
Answer: A
Rationale: Root bracketing method.

13. Bisection method requires:
A. Continuous function
B. Discrete data only
C. Random values
D. Graph only
Answer: A
Rationale: Sign change condition.

14. Newton-Raphson method uses:
A. Derivatives
B. Only averages
C. Graphs only
D. Random values
Answer: A
Rationale: Tangent approximation.

15. Secant method uses:
A. Two approximations