List of top Questions asked in AP PGECET- 2026

If a $2 \times 2$ matrix $A$ has eigenvalues 1 and 4 with the corresponding eigenvectors $\begin{pmatrix} 1 \\ -1 \end{pmatrix}$ and $\begin{pmatrix} 2 \\ 1 \end{pmatrix}$, respectively, then $A$ is _______

Consider the following system of equations:
$x - 2y + 3z = -1$
$x - 3y + 4z = 1$
$-2x + 4y - 6z = k$
The value of $k$ for which the system has infinitely many solutions is _______

The directional derivative of $f(x,y) = x^2 + 3xy$ at the point (1,2) in the direction of the vector $3\hat{i} + 4\hat{j}$ is

Let $f(x)$ be a differentiable function at $x = a$ with $f'(a) = 4$ and $f(a) = 8$. Then, $\lim_{x\to a} \frac{xf(a) - af(x)}{x - a} = $_______

If $y(x)$ satisfies the differential equation $(\sin x)\frac{dy}{dx} + y \cos x - 1 = 0$ subject to the condition $y\left(\frac{\pi}{2}\right) = 0$, then $y\left(\frac{\pi}{6}\right) = $_______

The FIFO structure represents a:

The Output of the statement $int\ x = 5;\ printf("\%d, x++");$ is:

The Advantages of Renewable energy sources are:

3 - $\phi$ fully controlled rectifier $V_{avg} \propto$:

Which of the following system is linear?

A band limited signal with $f_{max} = 5\text{Hz}$ is sampled at 8kHz. The result is:

Aliasing occurs when,

The SCR triggers when:

Given X(s) = $\frac{1}{s+2}$, ROC: Re(s) $>$ -2. Signal is:

Find the z-transform of x[n] = $\delta$[n] + $\delta$[n + 1]:

If the Impulse response is $h[n] = (0.5)^n u(n)$ then, the system is

The z-transform of $a^n u(n)$ is:

A signal x(t) = cos(2$\pi$t) + sin(3$\pi$t) is:

If x[n] = u[n] and h[n] = u[n - 2], find the value of y[5].

If energy of x(t) = e$^{-2t}$u(t) is 0.25, find a:

A signal contains frequencies up to 4$\pi$ rad/sec. Minimum sampling frequency is:

If x(t) $\leftrightarrow$ X($\omega$), then FT of tx(t) is:

A Servo Motor differs from a standard motor because it:

In a synchronous generator, "Voltage Regulation" is negative when the load is:

What happens if the field winding of a running DC Shunt motor suddenly opens?