List of top Questions asked in TS PGECET

Which of the following is not a principle of sustainable development?
What is the role of the page table in an operating system?
What is a primary key in a relational database?
Which algorithm is used for finding the shortest path in a weighted graph with negative edges?
What is the purpose of the subnet mask in IP addressing?
What is the time complexity of inserting an element into a balanced binary search tree?
Solve the differential equation:
\[ \frac{d^2y}{dx^2} - 4y = 0 \]
Use Newton-Raphson method to find the root of $f(x) = x^3 - x - 2 = 0$ starting with $x_0 = 1$ after one iteration.
Evaluate the integral:
\[ \int_0^1 x e^x \, dx \]
Determine the rank of the matrix:
\[ \begin{pmatrix} 1 & 2 & 3 \\ 2 & 4 & 6 \\ 3 & 6 & 9 \end{pmatrix} \]
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?
Which of the following are necessary conditions for a deadlock?
Solve the differential equation:
\[ \frac{dy}{dx} + y = e^x \]
Which of the following correctly describes a binary search tree (BST)?
What is the time complexity of merge sort in the worst case?
Evaluate the limit:
\[ \lim_{x \to 0} \frac{\sin x - x}{x^3} \]
If a fair die is rolled twice, what is the probability that the sum is at least 10?
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?
What is the size of the address bus in a 16-bit microprocessor?
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?