List of top Questions asked in TS PGECET

The surface area-to-volume ratio of nanoparticles:
The top-down approach in nanofabrication refers to:
Which of the following is an example of non-point source pollution?
The term "carrying capacity" refers to:
The quantum confinement effect in nanoparticles is observed when:
Which of the following techniques is most commonly used for imaging at the nanoscale?
Bioremediation is a process used to:
The Environmental Impact Assessment (EIA) is used to:
The ISO 14001 standard deals with:
Which one of the following gases is not a greenhouse gas?
Which of the following is not a principle of sustainable development?
What is the purpose of the subnet mask in IP addressing?
What is the role of the page table in an operating system?
Which algorithm is used for finding the shortest path in a weighted graph with negative edges?
What is a primary key in a relational database?
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:
\[ \int_0^1 x e^x \, dx \]
What is the time complexity of inserting an element into a balanced binary search tree?
Solve the differential equation:
\[ \frac{d^2y}{dx^2} - 4y = 0 \]
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?
If a fair die is rolled twice, what is the probability that the sum is at least 10?
Which of the following are necessary conditions for a deadlock?