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

Find the eigenvalues of the matrix: \[ A = \begin{pmatrix} 4 & 1 \\ 2 & 3 \end{pmatrix} \]
Evaluate the integral: \[ \int_0^\pi \sin^2(x) \, dx \]
Solve the differential equation: \[ \frac{d^2y}{dx^2} + 4y = 0 \]
Which data structure is used in the implementation of recursion?
If the roots of the quadratic equation \( ax^2 + bx + c = 0 \) are real and distinct, what is the condition on the discriminant?
Which of the following is an example of an exothermic reaction?
Which of the following is the unit of electric charge?
Which of the following represents the correct relationship between the speed of light \( c \), frequency \( \nu \), and wavelength \( \lambda \)?
Which of the following is a type of nuclear decay that involves the emission of an alpha particle?
The process of removing an electron from an atom is called:
What is the unit of electrical resistance?
Which of the following is the correct relationship for Ohm's Law?
Which of the following elements has the highest atomic number?
Which of the following is a valid method for solving a system of linear equations?
What is the principle of the operation of a hydraulic press?
The first-pass metabolism refers to:
The term 'Feng Shui' is associated with:
A thermocouple is used to measure:
The modulus of elasticity of concrete is influenced by:
In a batch reactor, the reaction rate is:
Which of the following is a method of gene transfer in plants?
Which of the following is a characteristic of a deadlock in a computer system?
In an RLC series circuit, at resonance, the impedance is:
The efficiency of a Carnot engine depends on:

If \(u = \sin^{-1}\left(\frac{x}{y}\right) + \tan^{-1}\left(\frac{y}{x}\right)\), then the value of \( x \frac{\partial u}{\partial x} + y \frac{\partial u}{\partial y} \) is: