Free Test Engineering Mathematics – Enginee...

Q1: If A is a 3x3 matrix, what is the order of its determinant?

A. 1x1 B. 2x2 C. Scalar D. 3x3

Q2: The rank of a zero matrix of order 3x3 is:

A. 3 B. 0 C. 2 D. 1

Q3: Which method is used to solve ordinary differential equations?

A. Newton-Raphson B. Runge-Kutta C. Simpson’s rule D. Lagrange’s method

Q4: The eigenvalues of a diagonal matrix are:

A. All zero B. All one C. Diagonal elements D. Non-zero only

Q5: What is the solution of the equation sin(x) = 0?

A. x = nπ B. x = π/2 C. x = 2πn D. x = π/4

Q6: Taylor series expansion of e^x at x = 0 is:

A. 1 + x + x²/2! + ... B. 1 - x + x²/2! - ... C. x + x² + x³ + ... D. None

Q7: What is the Fourier series used for?

A. Finding roots B. Solving linear equations C. Approximating functions D. Integration

Q8: The divergence of a solenoidal vector field is:

A. Zero B. One C. Infinity D. Undefined

Q9: Which rule is used for evaluating integrals?

A. Newton’s law B. KCL C. Trapezoidal rule D. Kirchhoff’s rule

Q10: The curl of a gradient field is:

A. Zero B. One C. Infinity D. Undefined

Q11: What is the integral of dx/x?

A. log(x) B. 1/x C. x² D. x

Q12: Matrix A is said to be orthogonal if:

A. A² = I B. A = A^-1 C. Aᵀ = A⁻¹ D. A is diagonal

Q13: Which one is an exact differential equation?

A. dy/dx + y = 0 B. Mdx + Ndy = 0 with ∂M/∂y = ∂N/∂x C. dx/dy = y D. None

Q14: Which of these is not a linear equation?

A. y = 3x + 5 B. y² + x = 0 C. 3x – 2y = 4 D. x + y = 0

Q15: What is the Laplace of cos(at)?

A. s/(s² + a²) B. a/(s² + a²) C. 1/s D. 1/(s² + a²)

Q16: What is the Maclaurin series of sin(x)?

A. x - x³/3! + x⁵/5! - ... B. x + x² + x³ + ... C. 1 + x + x²/2! D. None

Q17: What is the double integral ∫∫R dxdy used for?

A. Gradient B. Area C. Divergence D. Curl

Q18: The gradient of a scalar function is a:

A. Scalar B. Vector C. Matrix D. Tensor

Quiz for Engineering Mathematics