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

The only disadvantage of field control method for controlling the speed of a DC shunt motor is that it _______.
When pull-out torque occurs in a synchronous motor, the poles of the rotor are _______.
Crawling of a motor results from_______.
The purpose of connecting resistance in the rotor circuit of slip ring induction motor is _______.
The presence of transportation lag in the forward path of a closed-loop control system _______.
The phase cross-over frequency of the transfer function $G(s) = \frac{100}{(s+1)^2}$ in rad/s is _______.
The voltage regulation of alternator at lagging power factor will be _______.
The transfer function of a phase-lead compensator is given by: $\frac{1 + 3Ts}{1 + Ts}$, $T>0$. The maximum phase shift provided is _______.
The gain at the breakaway point of the root locus of a unity feedback system with open-loop transfer function $G(s) = \frac{K}{(s-1)(s-4)}$ is _______.
The steady state error due to a ramp input for a type two system is equal to _______.
If $X(z) = \frac{1}{1 - z^{-1}}$ with $|z|>1$, then what is the corresponding $x(n)$?
The input-output relationship of a linear system is given by _______.
Frequency domain analysis is preferred when dealing with systems having input as _______.
What is the value of total electric flux coming out of a closed surface?
The $Z_{22}$ - Parameter of a Two-port network is known as _______.
The power factor at resonance in a parallel R-L-C circuit is_______.
A 10 V range Voltmeter is rated for 50 $\mu$A full-scale current. The total resistance of the voltmeter is_______.
A DC voltage $V$ is applied at time $t = 0$ to a series circuit consisting of resistor $R$ and capacitor $C$. The current in the circuit at time $t$ is_______.
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 ............
If \( X \) is a continuous random variable with the probability density
\[ f(x) = \begin{cases} K(1 - x^3), & 0 < x < 1 \\ 0, & \text{otherwise} \end{cases} \] Then, the value of \( K \) is ............
If \( C \) is the boundary of the region enclosed by the curves \( y = \sqrt{x} \) and \( y = x^2 \), then the value of the line integral
\[ \int_C \left( (3x^2 - 8y^2) \, dx + (4y - 6xy) \, dy \right) = ............ \]
The directional derivative of \( f(x, y, z) = xyz \) at the point \( (1, 2, 3) \) in the direction of the vector \( 2\hat{i} + \hat{j} - 2\hat{k} \) is ............
Let \( f(x) = x^3 - \dfrac{9}{2} x^2 + 6x - 2 \) be a function defined on the closed interval \([0,3]\). Then, the global maximum value of \( f(x) \) is ............
If \( A = \begin{pmatrix} 2 & -1 \\ 3 & 2 \end{pmatrix} \) is a \( 2 \times 2 \) matrix, then the eigenvalues of the matrix \( 2A^2 - 4A + 5I \) are ........., where \( I \) is the \( 2 \times 2 \) unit matrix.
A \( 10\,\mu\text{F} \) capacitance charged to \( 10\,\text{V} \) has a stored charge equal to: