List of top Questions asked in TS PGECET- 2026

Which one of the following is true for a throttling process?

A cyclic engine exchanges heat with two reservoirs maintained at $100^\circ\text{ C}$ and $300^\circ\text{ C}$ respectively. The maximum work (in J) that can be obtained from $1000\text{ J}$ of heat extracted from the hot reservoir is:

A process flow sheet analysis results in the degree of freedom having a value of $2$. Which one of the following steps must be carried out?

The net heat evolved or absorbed in a chemical process is the same whether the reaction takes place in one or in several steps is known as:

Absolute zero temperature is:

A butane isomerization process produces $70\text{ kmol/h}$ of pure iso-butane. A purge stream removed continuously contains $85\%$ n-butane and $15\%$ impurity (mole %). The feed stream is n-butane containing $1\%$ impurity (mole %). The flow rate of the purge stream will be:

The weight fraction of methanol in an aqueous solution is $0.64$. The mole fraction of methanol $X_M$ satisfies:

The composition of Air in weight percent is:

The molar composition of a gas is $10\%\text{ }\text{H}_2$, $10\%\text{ }\text{O}_2$, $30\%\text{ }\text{CO}_2$ and balance $\text{H}_2\text{O}$. If $50\%$ of the $\text{H}_2\text{O}$ condenses, the final mole percent of $\text{H}_2$ in the gas on a dry basis will be:

If the integrating factor of $\frac{dy}{dx} + \left[(x^2 - 2x)\cos x + 2(x - 1)\sin x\right]y = x^2$ is $e^{f(x)}$, then $f(3) =$}

The solution of $\frac{dy}{dx} - y - 2x + x^2 = 0$, $y(0) = 1$ at $x = 0.2$ using Euler's method is:

By assuming that the solution to the equation $x^4 - x - 10 = 0$ lies between $x = 1.8$ and $x = 2$, then the next approximate solution by Regula-falsi method is (Take $f(1.8) = -1.3024$):

The value of $\oint_C x \, dy - y \, dx$, where $C$ is the boundary of the rectangular region formed by $x = 5$, $x = 12$, $y = 0$, and $y = 8$ is:

Two dice are thrown simultaneously. Let $X$ be the random variable representing the absolute difference of the numbers appeared on the dice. The mean of $X$ is:

Laplace transform of $\int_0^t u^2 \sin(t - u) \, du$ is:

If $f(x)$ is the probability density function of an exponential distribution and $\frac{1}{\lambda}$ is its mean, then $\int_0^\infty x^2 f(x) \, dx =$}

If $A = \begin{bmatrix} 2 & 1 & 2 \\ 6 & 2 & 11 \\ 3 & 3 & 2 \end{bmatrix}$ and $P = \begin{bmatrix} 1 & 0 & 1 \\ 2 & 1 & 2 \\ 0 & 1 & 5 \end{bmatrix}$, then $\left|P^{-1}AP - 2I\right| =$}

The system of equations $2x + y = 2z$, $y + z = 0$, $3y + \alpha z = x$ has:

A function satisfying the conditions of Lagrange's mean value theorem on the interval $[1, 5]$ is:

Which of the cost estimates and performance measures are not used for economic analysis of a queuing system?

In a graphical solution of solving Linear Programming Problem to convert inequalities into equations, they

The activities of W, X, Y and Z are the direct precursors of A. What is the earliest starting time for A, if the activities of earliest finishing times are 12, 15, 10 and 6?

The penalty of a row in a transportation problem is obtained by

To issue and running balance of certain items of stock in inventory, which of the following keeps a record of items?

The demand for a commodity is 100 units per day. Every time an order is placed, a fixed cost of Rs 400 is incurred and the holding cost is Rs 0.08 per unit per day. If the lead time is 13 days, then the economic lot size and the reorder point are in units