List of top Questions asked in TS PGECET- 2026

Match the following:

At composition $C_a$, the free energy curve has a minimum. Which statement is correct?

In transient heat conduction, the lumped capacitance method is valid only when:

The quantity that balances the chemical driving force of a reversible electrochemical reaction is:

The cell having identical electrodes with different concentrations of electrolytes is:

Consider the Daniell cell: \[ Zn|Zn^{2+} \;||\; Cu^{2+}|Cu \] and identify the incorrect statement:

Pitting corrosion is dangerous in thin sections mainly because:

Match the following:

Which of the following is correct for entropy change in a reversible process?

From Clausius-Clapeyron equation, assuming constant $\Delta H_v$, the slope of $\ln P$ vs $1/T$ is:

Match the following in Ellingham diagram:

The figure shows variation of heat capacity with temperature for Nickel (0–800 K). If the curve shows discontinuity at point P, then this is due to:

If $X \sim N(\mu,\sigma^2)$ then:

Assertion (A): Spearman rank correlation coefficient is used for ordinal data.
Reason (R): It is based on ranks rather than actual values.

Using Runge-Kutta method, when $\frac{dy}{dx}=xy+y^{2}$, $y(0)=1$ is solved by taking $h=0.1$, then in the usual notation the value of $k_{1}$ is:

Find $L\{t\,u(t-2)\}$.

If $e^{\sin x}$ is an integrating factor of \[ \frac{dy}{dx}+(y-1)\cos x=e^{-\sin x}\cos x, \] then the general solution is:

If \[ \vec{F}=(x+2y+az)\hat{i}+(bx-3y-z)\hat{j}+(4x+cy+2z)\hat{k} \] is irrotational, then $(a,b,c)$ is:

Which of the following series is divergent?

If $f(x)=e^{-x}$ in $(-1,1)$ and the Fourier series of $f(x)$ is given by \[ f(x)=\frac{a_0}{2}+\sum_{n=1}^{\infty}(a_n\cos nx+b_n\sin nx), \] then the Fourier coefficient $a_0$ is:

Cording stitches are used for stitching

The system of equations \[ x-2y+3z=6,\quad 3x+y-4z=-7,\quad 5x-3y+2z=5 \] has:

If \[ \begin{bmatrix} 1 1 \end{bmatrix} \] is an eigenvector of the matrix \[ A= \begin{bmatrix} m& 3 \\ 3& m \end{bmatrix}, \] then the corresponding eigenvalue is:

Speed of the high-speed lock stitch machine ranges from

The preproduction process of separating a spread into garment parts is called as