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

Find the inverse of the matrix:
\[ \begin{pmatrix} 2 & 3 \\ 1 & 4 \end{pmatrix} \]
Use the bisection method to find the root of $f(x) = x^2 - 2 = 0$ in $[1, 2]$ with an error less than 0.01.
What is normalization in database design?
Evaluate the limit:
\[ \lim_{x \to 0} \frac{\sin x - x}{x^3} \]
Solve the differential equation:
\[ \frac{dy}{dx} + y = e^x \]
If a fair die is rolled twice, what is the probability that the sum is at least 10?
Which of the following correctly describes a binary search tree (BST)?
What is the time complexity of merge sort in the worst case?
Which of the following are necessary conditions for a deadlock?
The transfer function of a system is given by: \[ \frac{Y(s)}{X(s)} = \frac{10}{s^2 + 3s + 10} \] What is the damping ratio of the system?
Which of the following is not a type of process scheduling in operating systems?
The flow rate of a liquid through a pipe is 0.5 m³/s. What is the velocity of the fluid if the pipe has a diameter of 0.1 m?
The output voltage of a transistor amplifier is 12 V when the input is 2 V. What is the voltage gain of the amplifier?
What is the bandwidth of a signal if the highest frequency is 5 kHz and the lowest frequency is 2 kHz?
Which of the following is a device used to connect multiple networks and operate at the network layer of the OSI model?
What is the size of the address bus in a 16-bit microprocessor?
What is the output of a NAND gate for the inputs A = 1, B = 1?
The ultimate tensile strength of a material is 400 MPa. If the diameter of the wire is 10 mm, what is the maximum force that can be applied to the wire before it breaks?
Find the residue of the function \[ f(z) = \frac{1}{z^2 + 1} \] at the pole $z = i$.
If a die is rolled twice, what is the probability that the sum of the numbers is 7?
In a series RLC circuit, if the resistance is 10Ω, inductance is 0.1H, and capacitance is 100μF, calculate the resonant frequency.
Determine the moment of inertia of a rectangular beam section with a width of 300 mm and height of 500 mm about its neutral axis.
Calculate the efficiency of a Carnot engine operating between temperatures of 500K and 300K.
What is the Reynolds number for flow in a pipe with a diameter of 0.05 m, velocity of 2 m/s, and kinematic viscosity of $1 \times 10^{-6}$ m\(^2\)/s?
Which of the following is a beta-blocker used in the treatment of hypertension?