List of top Questions asked in TS PGECET- 2026

In the linear arch, an imaginary line that shows the path of compressive forces curving through the arch's center is known as

For a linear structural system, minimization of potential energy yields

A uniform beam of length \(2L\) and flexural rigidity \(EI\) is fixed at both the ends. What is the moment required at the centre of the span for unit rotation?

If the horizontal effort \(P\) is applied to a body of weight \(W\) and is about to move up on the rough inclined plane whose angle of inclination with the horizontal is \(\alpha\), then the effort \(P=\) (Where \(\mu=\) coefficient of friction between the plane and the body, \(\phi=\) friction angle)

A cantilever of length \(L\) carries a point load \(W\) at the free end. The bending moment diagram will be

The ratio of moment of inertia of a triangle and that of a rectangle having same base and height with respect to their bases will be

A body is subjected to a tensile stress of \(1200\) MPa on one plane and another tensile stress of \(600\) MPa on a plane at right angles to the former. It is also subjected to shear stress of \(400\) MPa on the same planes. The maximum normal stress will be

Two bars of different materials and same size are subjected to the same tensile force. If the bars have unit elongation in the ratio of \(2:5\), then the ratio of modulus of elasticity of the two materials will be

The following support will restrict the movement of the rigid body in all the directions

Locate the centroid of a semicircle arc about its horizontal base, which is symmetric about its vertical axis and diameter of the arc is \(18\pi\) cm.

A car is moving along a straight horizontal road with speed of \(20\,\mathrm{m/s}\). If the coefficient of friction between tyres and roads is \(0.4\), then the shortest distance in which the car can stop is (Take \(g=10\,\mathrm{m/s^2}\)).

If the initial guess of the solution of \[ 1+x-x^3=0 \] is \(x_0=1\), then the \(2^{\text{nd}}\) approximate root of \[ 1+x-x^3=0 \] using Newton-Raphson method is

Let \(X\) be a discrete random variable, \(\mu\) be its mean, and \(P(X=x)\) be the probability function. The variance of \(X\) is

Let \[ f(t)= \begin{cases} \sin t, & 0\le t\le \pi,\\ 0, & t>\pi. \end{cases} \] The Laplace transform of \(f(t)\) is

In a Poisson distribution, \[ P(X=x+k)=\frac{\lambda^k}{f(x)}P(X=x), \] then \(f(x)=\)

If \[ \frac{dy}{dx}=xy+x,\; x\in\mathbb{R} \] and \(y(0)=1\), then \(y(0.2)\) with step size \(h=0.1\) using Euler's method is

The system of equations \[ x+4y+6z=20,\qquad x+y+z=6,\qquad x+\lambda y+6z=20 \] has

If the Laplace transform of \(f(t)\) and \(f'(t)\) exist and \(F(s)\) is the Laplace transform of \(f(t)\), then \[ \lim_{s\to\infty}sF(s) \] is

Let \[ \vec{F}=x^2yz\,\hat{i}+y^2z\,\hat{j}+zx^3\,\hat{k} \] be a vector point function. Let \(S\) be the surface of the sphere \[ x^2+y^2+z^2=a^2. \] Then \[ \iint_{S}(\nabla\times\vec{F})\cdot\vec{N}\,dS \] is equal to (\(\vec{N}\) is any unit outward normal vector to \(S\)).

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

Let \(A\) be a real symmetric matrix. \(\lambda_1,\lambda_2\;(\lambda_1\neq\lambda_2)\) be two eigen values of \(A\) and \(X_1,X_2\) are respectively the eigen vectors of \(A\) corresponding to \(\lambda_1\) and \(\lambda_2\), then \(X_1^TX_2=\)

Maximum longitudinal reinforcement in columns shall not exceed ____

The section in which concrete is not fully stressed to its maximum permissible value while stress in steel reaches its maximum value is called ____

The Indian Standard Soil classification symbol for low compressible inorganic silt is ____

Normally, the tensile strength of concrete is about ______ of its compressive strength.