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

If the efficiency of a machine is 80% and it consumes 500 W of power, what is the useful output power?

Calculate the mesh currents \(I_1\) and \(I_2\) flowing in the first and second meshes respectively.

Circuit Description: Left mesh (Mesh 1): 5V source (+ up), 5 ohm resistor, 3A current source (up). Right mesh (Mesh 2): 3A current source (up), 3 ohm resistor, 10V source (+ up). I1 assumed CW, I2 assumed CW.

The integration factor of \( \frac{dy}{dx} + 2xy = e^{-x^2} \)
The circuit shown in Figure is equivalent to a load of
Figureisequivalenttoaloadof

What is the output of the following C program segment? 
int j = 7; 
printf("%d, %d", j++, j--);}

The value of \( \int_0^3 \int_0^0 (x^2 + 3y^2) \, dy \, dx \) is
A material is deformed by slip along a plane with a critical resolved shear stress (CRSS) of 150 MPa. What is the applied stress needed if the orientation factor is 0.45?
If the mean and variance of a binomial variate are 12 & 4, then the distribution is _____

The variance for continuous probability function \(f(x) = x^2 e^{-x}\) when \(x \ge 0\) is

Consider the loop transfer function \(\frac {K(s+6)}{(s+3)(s+5)}\). In the root locus diagram the centroid will be located at:

When nuclear radiations pass through, gas ionization is produced. This is the principle of which of the following detectors?

If \(f = \text{Tan}^{-1}(xy)\) then \((\frac{\partial f}{\partial x})_{(1,2)}\) = _____ .

Line of Regression of y on x
In Method of Variation of Parameters, \( A = -\int \frac{y_2 R dx}{W} \). If \( V = \sin x, R = \sec x, W = 1 \) then A= ____ .
The general solution of the differential equation \( x^2 \frac{d^2y}{dx^2} - 2x \frac{dy}{dx} + 2y = 4 \) is
Let S be a closed surface for which \( \oiint_S \vec{r} \cdot \hat{n} \, dS = 1 \), then the volume enclosed by the surface is ____ .
For the function \( \frac{\sin z}{z^4} \), the point z = 0 is
Auxiliary Equation for the Cauchy Euler Equation \( (x^2 D^2 + xD + 4)y = 0 \) is ____ .
Cauchy Riemann Equations for an Analytic function are
The system AX=B has a unique solution if
A force sensor has a sensitivity of 0.01 mV/N. If the sensor outputs a voltage of 2 mV, what is the corresponding force (in Newtons)?
If \( A = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} \), \( B = \begin{bmatrix} 0 & 1 \\ -1 & 0 \end{bmatrix} \) and \( C = \begin{bmatrix} \cos\theta & \sin\theta \\ -\sin\theta & \cos\theta \end{bmatrix} \) then
The system of equations \(3x + 2y + z = 0, x + 4y + z = 0, 2x + y + 4z = 0\) is

The device shown here is most likely to be _____ .

An ammeter is inserted in ____.