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

In a simple RC high-pass filter, the desired roll-off frequency is 15 Hz and \(C = 10\ \mu F\). The value of \(R\) would be _______.
For the SOP expression $A\overline{B}C + \overline{A}BC + AB\overline{C}$, how many 1s are in the truth table’s output column?
As per Boolean algebra, (A + B)(A + C) = _______.
The binary code of $(21.125)_{10}$ is _______.
The envelope detector is a/an _______.
The medium which reflects high frequency radio waves back to the earth’s surface is called _______.
Changes in temperature will affect the level of _______.
An FM signal having a modulation Index of $M$ is passed through a frequency tripler. The FM signal at the output of tripler will have a modulation index of _______.
Evaluation of the integral \( \int_{2}^{4} x^2 \, dx \) using the trapezoidal rule (with two equal segments) gives a value of ...........
A machine produces 0, 1 or 2 defective items in a day with probabilities of \( \frac{1}{4}, \frac{1}{2}, \frac{1}{4} \) respectively. Then, the standard deviation of the number of defective items produced by the machine in a day is ...........
Let \( A, B \) be two events and \( \overline{A} \) be the complement of \( A \). If \( P(\overline{A}) = 0.7 \), \( P(B) = 0.7 \), and \( P(B|A) = 0.5 \), then \( P(A \cup B) = \) ...........
If the Laplace transform of a function \( f(t) \) is given by \( \frac{2s + 1}{(s + 1)(s + 2)} \), then \( f(0) \) is equal to ...........
If \( y(x) \) satisfies the differential equation \( x \frac{dy}{dx} + (x - y) = 0 \) subject to the condition \( y(1) = 0 \), then \( y(e) \) is ...........
The value of the line integral \( \int_{C} \left( 2xy^2 \, dx + 2x^2 y \, dy - \frac{1}{3} z \, dz \right) \) along a path joining the origin \( (0,0,0) \) and the point \( (1,1,1) \) is ...........
If \( \vec{F} = x(x^2 + y^2 + z^2) \, \hat{i} + 2y(x^2 + y^2 + z^2) \, \hat{j} + 3z(x^2 + y^2 + z^2) \, \hat{k} \), then \( \text{div} \, \vec{F} \) at \( (1, 1, 1) \) is equal to ...........
If the matrix \( A = \begin{pmatrix} 3 & -1 & 1 \\ -1 & 5 & -1 \\ 1 & -1 & 3 \end{pmatrix} \) has three distinct eigenvalues and one of its eigenvectors is \( \begin{pmatrix} 1 \\ 0 \\ -1 \end{pmatrix} \), then which of the following can be another eigenvector of \( A \)?
Determine the value of $\lambda$ and $\mu$ for which such that the system of equations $x + 2y + z = 6$, $x + 4y + 3z = 10$, and $2x + 4y + \lambda z = \mu$ has infinite number of solutions.
The elastic constants, modulus of rigidity ‘K’ and modulus of elasticity ‘E’ are related through Poisson’s ratio ‘$\mu$’ as:
From a metallic wall at 100$^\circ$C, a metallic rod protrudes to the ambient air. The temperature at the tip will be minimum when the rod is made of:
Let $f(x) = x^3 + 2x^2 + 3x - 1$. Newton-Raphson method is used to find the root of the equation $f(x) = 0$. If the initial guess is $x_0 = 1$, then the value of $x$ after first iteration is ...........
In electrical resistance welding, pressure applied varies in the range:
The area enclosed by a thermodynamic cycle on a p-v diagram represents:
Bernoulli’s equation is applicable to:
Compared to the Otto cycle for the same compression ratio, the diesel cycle efficiency is:
For maximum horizontal range, the angle of projection of a projectile should be: