List of top Questions asked in AP PGECET- 2026

Consider the fixed-point iteration $x_{k+1} = g(x_k)$ with $g(x) = \frac{x}{3} + \frac{4}{3x}$. Which root-finding problem is this equivalent to?

The regression lines of a sample are $x + 6y = 6$ and $3x + 2y = 10$. Then the sample means and the correlation coefficient are

Let $C$ be the circle $|z| = \frac{3}{2}$ in the complex plane that is oriented in the counter-clockwise direction. The value of $a$ for which $\int_C \left(\frac{z+1}{z^2 - 3z + 2} + \frac{a}{z-1}\right) dz = 0$ is _______

Two dice are thrown. Let $A$ be the event that the sum of the points on the faces is 9. Let $B$ be the event that at least one of them is 6. Then, $(\bar{A} \cup \bar{B}) = $_______

Which one of the following functions is analytic over the entire complex plane?

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 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 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 Advantages of Renewable energy sources are:

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

The FIFO structure represents a:

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

The SCR triggers when:

Aliasing occurs when,

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

Which of the following system is linear?

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

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

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

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

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:

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