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

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?
Which of the following is an example of non-point source pollution?
In which year was the Earth Summit (Rio Conference) held?
The top-down approach in nanofabrication refers to:
The surface area-to-volume ratio of nanoparticles:
Which of the following materials exhibits superparamagnetism at the nanoscale?
The term "carrying capacity" refers to:
Bioremediation is a process used to:
The quantum confinement effect in nanoparticles is observed when:
The ISO 14001 standard deals with:
Which one of the following gases is not a greenhouse gas?
Which of the following techniques is most commonly used for imaging at the nanoscale?
The Environmental Impact Assessment (EIA) is used to:
Which of the following is not a principle of sustainable development?
What is a primary key in a relational database?
What is the purpose of the subnet mask in IP addressing?
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?
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?
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:
\[ \begin{pmatrix} 2 & 3 \\ 1 & 4 \end{pmatrix} \]