List of top Questions asked in TS PGECET

If a fair die is rolled twice, what is the probability that the sum is at least 10?
Evaluate the limit:
\[ \lim_{x \to 0} \frac{\sin x - x}{x^3} \]
What is the time complexity of merge sort in the worst case?
Which of the following correctly describes a binary search tree (BST)?
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?
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?
What is the bandwidth of a signal if the highest frequency is 5 kHz and the lowest frequency is 2 kHz?
What is the size of the address bus in a 16-bit microprocessor?
Which of the following is a device used to connect multiple networks and operate at the network layer of the OSI model?
Which of the following is not a type of process scheduling in operating systems?
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 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?
Calculate the efficiency of a Carnot engine operating between temperatures of 500K and 300K.
Which of the following is a beta-blocker used in the treatment of hypertension?
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.
In a series RLC circuit, if the resistance is 10Ω, inductance is 0.1H, and capacitance is 100μF, calculate the resonant frequency.
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?
Find the eigenvalues of the matrix: \[ A = \begin{pmatrix} 4 & 1 \\ 2 & 3 \end{pmatrix} \]
Solve the differential equation: \[ \frac{d^2y}{dx^2} + 4y = 0 \]
Which data structure is used in the implementation of recursion?
Evaluate the integral: \[ \int_0^\pi \sin^2(x) \, dx \]
If the roots of the quadratic equation \( ax^2 + bx + c = 0 \) are real and distinct, what is the condition on the discriminant?