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

Driving point impedance of the function \( F(s) = \frac{(s+k_1)(s+k_2)(s+k_3)}{(s+1)(s+2)(s+3)} \) is
When two, two-port networks are connected in series, then
A transfer function is given by \( H(s) = \frac{2(s+2)(s+4)}{(s+3)(s+5)(s+7)} \). Then the transfer function becomes zero when
For a series RLC circuit which of the following statement is not correct?
Obtain the inverse Laplace transform of \( F(s) = \frac{1}{s^2(s+2)} \)
The values of B and D of ABCD parameters of two port network respectively are
values of B and D of ABCD parameters of two port network
The function \( \frac{dq}{dv} \) is called incremental then it is
To solve the equation \( x \log x = 1 \), using Newton-Raphson method, the iterative formula and the first approximate \( x_1 \), when \( x_0 = 1 \) is (Assuming \(\log\) is natural logarithm \(\ln\))
Which type of medium allows for the differentiation of microorganisms based on their metabolic characteristics?
Which characteristic is common to both bacteria and yeast?
Which part of India is rich in biodiversity?
What are the four factors that affect population growth ecology?
In a food chain, energy is transferred from one trophic level to another. What happens to the energy as it moves up the food chain?
Energy flow is always unidirectional in an ecosystem because?
Energy flow in an ecosystem is based on which laws?
Which component of an ecosystem is responsible for the cycling of nutrients such as carbon, nitrogen and phosphorus?
The residue of \( f(z) = \frac{z^2}{(z-1)^3(z-2)(z-3)} \) at the pole \(z=1\) is
Mean of a binomial distribution 12 and variance is 8. The probability of having at least one success is?

In large sample, the critical value for the single tailed test at 5% level of significance is?

For a bivariate data $(x_i, y_i)$ ($i=1,2,3,\dots,10$), $\sum x_i y_i = 6200$, $\sum x_i = 400$, $\sum y_i = 1220$, $\sum x_i^2 = 1800$, then equation of line of best fit is?
Let $X$ be a discrete random variable with probability mass function $P(X=x_i)$ where $x \in \{x_1, x_2, \dots, x_n\}$. If $\sum_{i=1}^{n} (x_i-2)^2 P(X=x_i) = 28$ and $\sum_{i=1}^{n} (x_i+2)^2 P(X=x_i) = 12$. Then variance of $X$ is?
If the probability density function of a continuous random variable X is $f(X=x) = Ke^{-3x}$, $0<x<\infty$, then a solution of $\frac{P^2+1}{P} = \frac{K}{\sqrt{2}}$ is?
If for a progression, sum of the first $n$ terms is $2n^2+5n+6$ and $T_n$ is the $n^{th}$ term of the progression, then $\sum_{k=1}^{10} T_{3k} = $?
The complete solution of \( (mz-ny)\frac{\partial z}{\partial x} + (nx-lz)\frac{\partial z}{\partial y} = ly-mx \) is
Which of the following pair of functions are linearly dependent