List of top Questions asked in TS PGECET- 2025

Which of the following correctly describes the TCP/IP model?
In which year was the Earth Summit (Rio Conference) held?
A bag contains 3 red and 2 blue balls. Two balls are drawn without replacement. What is the probability that both are red?
Which of the following techniques is primarily used for the synthesis of carbon nanotubes?
The top-down approach in nanofabrication refers to:
Which of the following materials exhibits superparamagnetism at the nanoscale?
The surface area-to-volume ratio of nanoparticles:
The term "carrying capacity" refers to:
Which of the following is an example of non-point source pollution?
The Environmental Impact Assessment (EIA) is used to:
Which of the following techniques is most commonly used for imaging at the nanoscale?
The quantum confinement effect in nanoparticles is observed when:
Which one of the following gases is not a greenhouse gas?
The ISO 14001 standard deals with:
Bioremediation is a process used to:
Which of the following is not a principle of sustainable development?
Which algorithm is used for finding the shortest path in a weighted graph with negative edges?
What is the role of the page table in an operating system?
What is the purpose of the subnet mask in IP addressing?
What is a primary key in a relational database?
Evaluate the integral:
\[ \int_0^1 x e^x \, dx \]
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.
What is the time complexity of inserting an element into a balanced binary search tree?
Determine the rank of the matrix:
\[ \begin{pmatrix} 1 & 2 & 3 \\ 2 & 4 & 6 \\ 3 & 6 & 9 \end{pmatrix} \]