List of top Questions asked in TS PGECET

If \[ f(x,y,z,w)=x^{2}e^{2y+3z}\cos(4w), \] then \[ \frac{\partial f}{\partial z} \] at \((2,0,-2,1)\) is

Let \(A\) and \(B\) be any two \(n\times n\) matrices and \[ tr(A)=\sum_{i=1}^{n}a_{ii}, \qquad tr(B)=\sum_{i=1}^{n}b_{ii}. \] Consider the following statements: \begin{itemize
• Statement-I : \(tr(AB)=tr(BA)\).
• Statement-II : \(tr(A+B)=tr(A)+tr(B)\).
• Statement-III : If \(tr(A)=5,\; tr(A^{2})=13\), then \[ tr(A-I)^2=6, \] where \(A_{3\times3}\) and \(I_{3\times3}\) are matrices. Choose the correct option. }

Let the matrix \[ A=\begin{bmatrix} 3& 1 -1& 2 \end{bmatrix} \] and \[ I=\begin{bmatrix} 1& 0 0& 1 \end{bmatrix}, \] then \[ A^{2}-5A+7I= \]

Which of the following statements regarding liquid phase sintering is/are correct?
Statement-I: An appreciable amount of liquid phase must be present
Statement-II: There must be appreciable solubility of the solid in the liquid
Statement-III: Complete wetting of the solid by the liquid is required

The method which is related to pressure less powder shaping method is

Which of the following statement is correct based on the ultrasonic testing screen display as shown in the figure?

In the Hoeganaes process, which statement is not correct?

In the production sequence of pipe or tubing, a rolling mill is used to remove

Impact extrusion is a process used to produce

As per the Ugine-Sejournet process, the lubricant most commonly used for high-temperature extrusion is

The following steps are involved in unidirectional die compaction in powder metallurgy, but they are jumbled:
I. Removal of load by retracting the punch
II. Ejection of the green compact
III. Charging the powder mix
IV. Applying load using a punch to compact the powders
Choose the correct sequence:

The term merchant mill refers to a rolling mill designed to roll

Consider the following statements:
Statement-I: In TIG welding, electrode consumption contributes to metal deposition
Statement-II: MIG welding is preferred for automation due to continuous wire feeding
Statement-III: MMAW electrodes require controlled storage conditions

In the AWS electrode classification E6013, the number "60" indicates

Which one of the following pairs is correctly matched?

Which method permits point-by-point calculation of stress but is limited to plane-strain conditions only?

Tomlinson and Stringer defined the coefficient of spread S in cogging as the ratio of

Temper rolling improves all of the following except

Consider the following:
Assertion (A): In SAW, the welding arc is not visible during welding.
Reason (R): The arc is completely submerged under a layer of granular flux.

Identify the casting defect shown in the given figure:

Liquid contraction during solidification of a casting will be taken care by

Complete the analogy: Avoids mould sticking: Parting sand :: Improves surface finish :

Which of the following materials are having high thermal conductivity? I. Silver II. Gold III. Nickel IV. Brass

Which of the following is soft magnetic material?

Which of the following represents the correct decreasing order of their electrical conductivity?