List of top Questions asked in TS PGECET- 2026

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 $f(3) =$}

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:

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

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:

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

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:

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

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

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 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

Average stock level required to maintain the inventory is calculated as

Which of the following relationships hold correct for the safety stock of inventory?

The pessimistic time and optimistic time of completion of an activity are given as 10 days and 4 days respectively. Then the variance of the activity is

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

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

In the first come first service (FCFS) scheduling algorithm, which process is executed first?

The term Therbligs are generally relevant with

If the objective is maximizing the quality production by ensuring production machine availability and reducing machine breakdowns, which of the following lean tool will best work for this?

For an assembly line, the inventory was calculated by considering the production rate as 4 pieces per hour and the average processing time as 60 minutes. Now, if the production rate is kept the same and the average processing time is brought down by 30%, then the change in inventory is

Which of the following is NOT a common probe type used in a coordinate measuring machine?

What is the primary purpose of direct numerical control in the context of CAD/CAM integration?

Which of the additive manufacturing techniques uses a laser to cure liquid photopolymer resin in a vat?

Find out the correct sequence for the additive manufacturing process chain?

In time series analysis of forecasting technique, which of the source variation can be estimated by ratio to trend method?