NUMERICAL ANALYSIS 10TH EDITION BY
BURDEN EXAM 2026 COMPLETE QUESTION
SET AND CORRECT ANSWERS GRADED A
PLUS
◉ 2. What is the primary purpose of a histogram?
A. To display data trends over time
B. To show the relationship between two variables
C. To represent the frequency distribution of data
D. To compare categories of data.
Answer: C. To represent the frequency distribution of data
◉ 3. Which of the following methods is specifically designed for
solving systems of linear equations using an iterative approach and
updates all variables simultaneously using values from the previous
iteration?
A. Gauss-Seldel
B. Newton-Raphson
C. Jacobi
D. Bisection Method.
Answer: C. Jacobi
,◉ 4. What is the key requirement for the bisection method to work
in finding a root of a function f(x)?
A. The function must be linear.
B. The function must be differentiable.
C. The function must change sign over the interval.
D. The function must have a maximum or minimum in the interval..
Answer: C. The function must change sign over the interval.
◉ 5. For the Gauss-Seidel method to converge when solving a system
of linear equations, what condition must the coefficient matrix
satisfy?
A. Symmetric
B. Positive definite
C. Diagonally dominant
D. Sparse.
Answer: C. Diagonally dominant
◉ 6. What type of data is best represented using a bar chart?
A. Continuous numerical data
B. Discrete categorical data
C. Time-series data
D. Frequency distribution of continuous variables.
,Answer: B. Discrete categorical data
◉ 7. The aim of elimination steps in Gauss elimination method is to
reduce the coefficient matrix to
A. diagonal
B. identity
C. lower triangular
D. upper triangular.
Answer: D. upper triangular
◉ 8. Which of the following is NOT a root-finding method?
A. Bisection
B. Newton-Raphson
C. Gauss-Seidel
D. Secant.
Answer: C. Gauss-Seidel
◉ 9. Which of the following is the main difference between the
Jacobi Method and the Gauss-Seidel Method when solving systems of
linear equations?
A. The Jacobi Method updates all variables using the previous
iteration values, while the Gauss-Seidel Method updates variables
immediately after computing each value.
, B. The Gauss-Seidel Method requires more iterations than the Jacobi
Method for convergence.
C. The Jacobi Method is used for solving nonlinear systems, while the
Gauss-Seidel Method is only for linear systems.
D. The Gauss-Seidel Method requires the matrix to be diagonally
dominant, while the Jacobi Method does not successfully find a root
of a function?.
Answer: A. The Jacobi Method updates all variables using the
previous iteration values, while the Gauss-Seidel Method updates
variables immediately after computing each value.
◉ 10. What is the fundamental requirement for the Newton-
Raphson Method to work successfully?
A. The function must be linear.
B. The derivative of the function must be zero at the root.
C. The function must be continuous and differentiable near the root.
D. The initial guess must be far from the root..
Answer: C. The function must be continuous and differentiable near
the root.
◉ 11. In numerical methods, the Jordan method is primarily used
for:
A. Solving systems of linear equations
B. Finding roots of nonlinear equations
BURDEN EXAM 2026 COMPLETE QUESTION
SET AND CORRECT ANSWERS GRADED A
PLUS
◉ 2. What is the primary purpose of a histogram?
A. To display data trends over time
B. To show the relationship between two variables
C. To represent the frequency distribution of data
D. To compare categories of data.
Answer: C. To represent the frequency distribution of data
◉ 3. Which of the following methods is specifically designed for
solving systems of linear equations using an iterative approach and
updates all variables simultaneously using values from the previous
iteration?
A. Gauss-Seldel
B. Newton-Raphson
C. Jacobi
D. Bisection Method.
Answer: C. Jacobi
,◉ 4. What is the key requirement for the bisection method to work
in finding a root of a function f(x)?
A. The function must be linear.
B. The function must be differentiable.
C. The function must change sign over the interval.
D. The function must have a maximum or minimum in the interval..
Answer: C. The function must change sign over the interval.
◉ 5. For the Gauss-Seidel method to converge when solving a system
of linear equations, what condition must the coefficient matrix
satisfy?
A. Symmetric
B. Positive definite
C. Diagonally dominant
D. Sparse.
Answer: C. Diagonally dominant
◉ 6. What type of data is best represented using a bar chart?
A. Continuous numerical data
B. Discrete categorical data
C. Time-series data
D. Frequency distribution of continuous variables.
,Answer: B. Discrete categorical data
◉ 7. The aim of elimination steps in Gauss elimination method is to
reduce the coefficient matrix to
A. diagonal
B. identity
C. lower triangular
D. upper triangular.
Answer: D. upper triangular
◉ 8. Which of the following is NOT a root-finding method?
A. Bisection
B. Newton-Raphson
C. Gauss-Seidel
D. Secant.
Answer: C. Gauss-Seidel
◉ 9. Which of the following is the main difference between the
Jacobi Method and the Gauss-Seidel Method when solving systems of
linear equations?
A. The Jacobi Method updates all variables using the previous
iteration values, while the Gauss-Seidel Method updates variables
immediately after computing each value.
, B. The Gauss-Seidel Method requires more iterations than the Jacobi
Method for convergence.
C. The Jacobi Method is used for solving nonlinear systems, while the
Gauss-Seidel Method is only for linear systems.
D. The Gauss-Seidel Method requires the matrix to be diagonally
dominant, while the Jacobi Method does not successfully find a root
of a function?.
Answer: A. The Jacobi Method updates all variables using the
previous iteration values, while the Gauss-Seidel Method updates
variables immediately after computing each value.
◉ 10. What is the fundamental requirement for the Newton-
Raphson Method to work successfully?
A. The function must be linear.
B. The derivative of the function must be zero at the root.
C. The function must be continuous and differentiable near the root.
D. The initial guess must be far from the root..
Answer: C. The function must be continuous and differentiable near
the root.
◉ 11. In numerical methods, the Jordan method is primarily used
for:
A. Solving systems of linear equations
B. Finding roots of nonlinear equations
