List of top Questions asked in TS PGECET- 2026

For the better dynamic performance of cam follower mechanism, the following displacement diagrams should be chosen

The minimum number of teeth on the pinion in order to avoid interference for $20^\circ$ full depth involute system is

A flywheel is designed for engine speed variation from $190\text{ rps}$ to $210\text{ rps}$. Calculate the inertia of the wheel if the kinetic energy stored in the flywheel is $400\text{ N}\cdot\text{m}$.

A long steel column of uniform cross section is subjected to a crippling load of $10\text{ kN}$ as per the Euler designed condition. If the length of the column is reduced to half, then what would be the maximum Euler's crippling load?

Two bars A and B made of different material have same length. The coefficient of expansion and Young's modulus of bar B is twice that of bar A. If the temperature of both bars is increased by the same amount while preventing any expansion, then the ratio of stress developed in bar A to that in bar B is

In general, a sudden jump in the bending moment diagram is due to the following type of loading condition?

A circular shaft has been designed for the twisting moment of $5\text{ kN}\cdot\text{m}$. If the twisting moment is reduced to $4\text{ kN}\cdot\text{m}$, then what will be the maximum value of bending moment that can be applied for the same designed condition?

The relation of three elastic constants of a metal in terms of Young's Modulus (E), Modulus of rigidity (G) and Bulk Modulus (K) is expressed as

Which planes carry maximum normal stress and what is shear stress on these planes

Based on the limiting factor to prevent bursting in thin cylinder, the design is primarily made based on which stress

A tapering bar varying from the diameters from ‘d\(_1\)' to ‘d\(_2\)' and a bar of uniform cross section ‘d' have the same length and subjected to same axial pull attains the same extension. Then the ‘d' is equal to

If a particle has the initial velocity of \( v_0 = 12\text{ m/s} \) to the right at \( S_0 = 0 \). Then what is the position when \( t = 10\text{ s} \) and \( a = 2\text{ m/s}^2 \) to the left?

The simple truss structure is shown below. The forces acting in the members AB and BC respectively are

If the double threaded square screw is having mean diameter \( 8\text{ cm} \) and pitch \( 2\text{ cm} \), then the lead of the double threaded square screw is

Three coplanar equilibrium forces \( P = 40\text{ N} \), \( Q = x\text{ N} \) and \( R = y\text{ N} \) are acting on a body and the body is said to be in equilibrium when the angle included between each other is \( 120^\circ \), then \( x = \)

Two equal forces each of magnitude P acting at a point with an angle of \( (\alpha) \), then the resultant force is

The range of projectile is maximum when the angle of projection is

If a random variable \( X \), defined such that \( E(X-1)^2 = 10 \) and \( E(X-2)^2 = 6 \) then mean \( (\mu) \) and variance \( (\sigma^2) \) are

Which of the following is not the property of a distribution function \( F(x) \) of a random variable \( X \)?

Given \( x_0 \neq 0 \), if the iteration formula \( x_{n+1} = \frac{1}{2}\left( -\frac{7}{x_n} + x_n \right) \), \( n \geq 0 \) is used to find the root of \( f(x) = 0 \), then \( f(x) = \)

The Laurent's series for the function \( f(z) = 1 + \frac{3{z+2} - \frac{8}{z+3} \) in the region \( |z| < 2 \) is}

If the particular integral of \( y'' - 4y' = x^2 e^{2x} \) is in the form \( y_p = e^{2x} y(x) \), then \( y(x) \) is

\( \mathcal{L}\{ \sin(t-3)u(t-3) \ = \)}

If \( f \) and \( g \) are the solutions of Laplace equation then \( \nabla \cdot \{(f \nabla g) - (g \nabla f)\ = \)}

Let the matrix \( A = \begin{bmatrix} 1 & 4 \\ 2 & -1 \end{bmatrix} \).
Statement-I: \( A^2 = 9I \)
Statement-II: The eigen values of \( A \) are \( -3 \) and \( 3 \)
The correct answer is