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

The number of positive integral solutions of $x+y+z = 12$, $x \le y \le z$ is?
If $l>0, K<0$ are roots of $x^2 + x - 20 = 0$, the system of linear equations $3x - y + 4z = 3$, $x + 2y - 3z = -2$ and $6x + 5y + Pz = -3$ has?
Let \( \vec{F} \) be a vector point function defined inside and on the surface (S) of the sphere \( x^2+y^2+z^2=1 \). Then \( \oint_S (\text{Curl} \vec{F}) \cdot \hat{n} ds = \)
\( \int_{0}^{2} \int_{0}^{\sqrt{y}} e^{y/x} dx dy = \)
The system of equations \( \begin{bmatrix} -2 & 1 & 1 \\ 1 & -2 & 1 \\ 1 & 1 & -2 \end{bmatrix} \begin{bmatrix} x \\ y \\ z \end{bmatrix} = \begin{bmatrix} a \\ b \\ c \end{bmatrix} \) has
If \( \begin{bmatrix} \frac{1}{\sqrt{3}} & \frac{1+i}{\sqrt{3}} \\ \frac{1-i}{\sqrt{3}} & \frac{K}{\sqrt{3}} \end{bmatrix} \) is a unitary matrix, then the sum of all possible values of K is
Which type of I/O does NOT use interrupts?
A coil of resistance \(12 \Omega\) and inductance 18 H is suddenly connected to a dc supply of 30 V. Calculate time constant
Melting rates of electrodes in manual metal arc welding process is mainly governed by the
The maximum area of a rectangle that can be inscribed in a circle of radius $R$ is
Which of the following expression is a tautology?
The 2’s complement representation of the decimal value $-15$ is
The value of the integral \[ \int_C \frac{2e^z}{(z-4)(z-2)} \, dz \] where \( C: |z| = 3 \) is
As per URDPFI Guidelines 2015 of Government of India, choose the correct hierarchy of plans from higher order to lower order

Match the respective cities to their planners

CityPlanner(s)
PNavi Mumbai1H.K. Mewada and Prakash M Apte
QAmaravati2Jamsetji Tata
RGandhinagar3Charles Correa
SJamshedpur4Hafeez Contractor
Taj Mahal is an example for which of the principles of visual composition?
Which of the following is a key feature of green building design?
In the context of "Wayfinding," what is a crucial consideration for effective navigation systems?
How does natural ventilation contribute to passive cooling in buildings?
Which building material is categorized as a polymer composite?
Which government initiative in India focuses on providing affordable housing to the urban poor?
In the state of Himachal Pradesh, the "Kath-Kuni" architectural style involves alternating construction of wood and stone. What is the primary advantage of this technique?
Which of the following is not a property of ferrocement?
What is Pruning?
Which traffic survey method provides continuous data over extended periods without human intervention?