List of top Questions asked in Andhra Pradesh Post Graduate Engineering Common Entrance Test

For plane stress, Mohr’s circle has:
A purchasing assistant has calculated the carrying cost in Rupees Per unit annum, and the EOQ = 500 units for an item. He must have taken that the annual ordering cost for this item:
Euler’s theory applies to:
Critical damping is a function of
A particle moving in a circular path with constant speed has:
A project requires 12 workers to complete in 20 days. If 4 workers leave after 8 days, how many additional days will the remaining workers take to finish the project?
If \( A \) and \( B \) are two mutually exclusive events with \( P(B) \ne 1 \), then the conditional probability \[ P(A \mid \overline{B}) = \,? \] where \( \overline{B} \) is the complement of \( B \)
If \( X \) is a continuous random variable with the probability density function
\[ f(x) = \begin{cases} cx^3, & 0 \le x \le 2 \\ 0, & \text{otherwise} \end{cases} \] then \( P\left( \frac{1}{2} < X < \frac{3}{2} \right) \) is ..........
The line integral of the vector field \( \vec{F} = x\hat{i} - 2y\hat{j} + z\hat{k} \) along the straight line path from the point \((-1,2,3)\) to \((2,3,5)\), is ..........
The Laplace transform of \( e^{-2t} \cos(\sqrt{2} t) \) is .......
Consider the improper integral \( I = \int_{2025}^{2030} \frac{1}{(x - 2025)^k} \, dx \), where \( k > 0 \). Which of the following is true for \( I \)?
The eigenvalues of the matrix \( \begin{bmatrix} 2 & 1 - 2i \\ 1 + 2i & -2 \end{bmatrix} \) are ..........
If \( \begin{bmatrix} 2k+7 & 2k^2 - 5k + 3 \\ 3k - 3 & 15 \end{bmatrix} \) is a \(2 \times 2\) symmetric matrix, then the value of \(k\) is .........
In LD process, silicon removal takes place before carbon removal since:

Match the following processes with their physical principles:

\(C_p\), the heat capacity at constant pressure is given by:
Consider the ordinary differential equation \( x^2 \frac{d^2y}{dx^2} - 2x \frac{dy}{dx} + 2y = 0 \) with \( y(x) \) as a general solution. Given the values \( y(1) = 1 \), \( y(2) = 5 \), the value of \( y(3) \) is equal to ..........
Evaluation of the integral \(\int_{2}^{4} x^2 \, dx\) using the trapezoidal rule (with two equal segments) gives a value of .......
Let \( f(x) = x^3 - x - 3 \). In finding a positive real root of \( f(x) = 0 \) using Newton-Raphson method, if the starting guess \( x_0 = 2 \), then the numerical value of the root \( x_1 \) after the first iteration is .........
Which of the following is a common defect in wire drawing processes, particularly when excessive friction is present at the die-workpiece interface?
Back Scattered electrons are used in:
The wax pattern in investment casting is removed by:
Which of the following types of penetrant is most commonly used for detecting very fine surface cracks in non-porous materials?
Permanent mould casting is best suited for which of the following production areas?
In shell moulding, the binder used to hold the sand grains together is: