List of top Questions asked in TS PGECET- 2026

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 \( x = \)

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

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

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

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

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

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 \( f(x) = \)

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

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

If \( \lambda_1, \lambda_2 \) and \( \lambda_3 \) are the eigen values of a square matrix \( A \), then the eigen values of \( A^{-1} + 2I + A \) are

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

Black liquor is converted into the white liquor by

Cooking conditions in Kraft pulp process are

Unsaturated oils compared to saturated oils have

Excessive use of chemical fertilisers causes shrivelling of the roots and wilting of the plant because the

Poly Tetra Fluoro Ethylene (PTFE) is known as

Sodium tripolyphosphate is mainly used in

In petroleum refining, the process used for conversion of hydrocarbons to aromatics is called

In catalytic cracking

Comparing sulphate process with sulphite process it is found that

Styrene-Butadiene rubber is commercially manufactured by

For preliminary estimates, the ratio of indirect costs to direct costs for chemical plants is often in the range

Discounted cash flow method is mainly used for

For a typical project, the cumulative cash flow is zero at the