Free Test Engineering Mathematics – Enginee...

Q1: What is the Laplace transform of 1?

A. 0 B. 1/s C. s D. 1/s²

Q2: The eigenvalues of a unit matrix are?

A. 0 B. 1 C. n D. Undefined

Q3: If A is a 3x3 matrix, how many eigenvalues does it have (considering multiplicity)?

A. 1 B. 2 C. 3 D. 4

Q4: Which of the following is NOT a vector space?

A. R² B. R³ C. Set of all polynomials D. Set of all even integers

Q5: Which numerical method is used for solving systems of linear equations?

A. Newton-Raphson B. Runge-Kutta C. Gaussian Elimination D. Euler’s Method

Q6: If A and B are n x n matrices, then det(AB) = ?

A. det(A)+det(B) B. det(A)*det(B) C. det(A-B) D. None of the above

Q7: Which function is periodic?

A. x B. x² C. sin(x) D. e^x

Q8: If f(x) = x², then f'(2) = ?

A. 2 B. 4 C. 1 D. 8

Q9: Which transform is used for frequency analysis?

A. Laplace B. Z-transform C. Fourier D. Hilbert

Q10: What is the integral of 1/x dx?

A. ln|x| + C B. 1/x + C C. x + C D. x² + C

Q11: Which of the following is a second-order differential equation?

A. dy/dx = x B. d²y/dx² + y = 0 C. dy/dx + y = 0 D. y = e^x

Q12: What is the rank of a zero matrix?

A. 0 B. 1 C. n D. Undefined

Q13: Which series is divergent?

A. 1/n B. 1/n² C. 1/n³ D. 1/n!

Q14: Which function is not differentiable at x=0?

A. |x| B. x² C. x³ D. x

Q15: Which matrix has all eigenvalues zero?

A. Zero Matrix B. Identity Matrix C. Diagonal Matrix D. Singular Matrix

Q16: What is the solution of dy/dx = y?

A. x B. e^x C. ln(x) D. x²

Q17: The trace of a matrix is the sum of its?

A. Rows B. Columns C. Diagonal elements D. Eigenvalues

Q18: Which matrix is always symmetric?

A. Skew-symmetric B. Diagonal C. Identity D. Zero Matrix

Q19: Which of the following methods is iterative?

A. Gaussian Elimination B. LU Decomposition C. Jacobi Method D. Cramer’s Rule

Quiz for Engineering Mathematics