List of top Questions asked in Telangana State Post Graduate Engineering Common Entrance Test

The value of \( \int_0^1 \int_y^{\sqrt{y}} yx \, dxdy \) is
The divergence of the vector field \( \vec{F} = yz\,\hat{i} - zx\,\hat{k} \) at \( (-2, 0, 1) \) is
The particular integral of \( \frac{d^2y}{dx^2} + y = \cos(2x - 1) \) is
The Laplace transform \( \mathcal{L}\{t^2 \sin 2t\} \) is
The equation \( x^3 - 6x - 4 = 0 \) has one real root between 2 and 3. The 2ndapproximation to the root of the equation by bisection method will be
The approximate solution of the initial value problem \( \frac{dy}{dx} = 1 + xy \), \( y(0) = 1 \) by Picard’s method will be
Evaluate \( \log_{e^{2000}} e^{2021} \cdot \log_{e^{2021}} e^{2022} \cdot \log_{e^{2022}} e^{2023} \cdot \log_{e^{2023}} e^{2024} \)
If the characteristic polynomial of the matrix \( A_{3\times3} \) is given by \( f(\lambda) = \lambda^3 - 10\lambda^2 + 27\lambda - 18 \), then trace of A and determinant of A respectively are
If the equations $x^2+2x+K=0$ and $x^2+Kx+2=0$ have one root in common, then the product of the other two roots is?
Which technology utilizes electric charges to remove particulate matter from industrial flue gases?
What distinguishes metamorphic rocks from igneous and sedimentary rocks?
Which of the following is not included in the baseline studies conducted in EIA?
How can public participation improve the assessment of social and economic impacts in an EIA?
How will the degree of consolidation affect the porosity of the formation?
Which type of aquifer is more prone to contamination?
Which type of aquifer has an impervious layer above and below it?
What is the example of an aquitard?
What is the difference between an aquifuge and an aquitard?
Which artificial groundwater recharge technique causes directing extra surface water to ponds or infiltration basins?
When a portion of rainfall does not infiltrate into the soil and becomes surface runoff, it is called as
What is the size range of sleet pellets?
Which colour of EM spectrum is used for LiDAR bathymetry studies?
What is the occurrence of orographic precipitation?
The portion of rain fall that hits the ground through canopy is called
Which of the following is foliated sedimentary rock?