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Telangana State Post Graduate Engineering Common Entrance Test
List of top Questions asked in Telangana State Post Graduate Engineering Common Entrance Test
Which part of India is rich in biodiversity?
TS PGECET - 2024
TS PGECET
Environmental Management
Ecology & Environment
What are the four factors that affect population growth ecology?
TS PGECET - 2024
TS PGECET
Environmental Management
Ecology & Environment
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?
TS PGECET - 2024
TS PGECET
Environmental Management
Ecology & Environment
Energy flow is always unidirectional in an ecosystem because?
TS PGECET - 2024
TS PGECET
Environmental Management
Ecology & Environment
Energy flow in an ecosystem is based on which laws?
TS PGECET - 2024
TS PGECET
Environmental Management
Ecology & Environment
Which component of an ecosystem is responsible for the cycling of nutrients such as carbon, nitrogen and phosphorus?
TS PGECET - 2024
TS PGECET
Environmental Management
Ecology & Environment
The residue of \( f(z) = \frac{z^2}{(z-1)^3(z-2)(z-3)} \) at the pole \(z=1\) is
TS PGECET - 2024
TS PGECET
Engineering Mathematics
Complex Functions
Mean of a binomial distribution 12 and variance is 8. The probability of having at least one success is?
TS PGECET - 2024
TS PGECET
Engineering Mathematics
Probability and Statistics
In large sample, the critical value for the single tailed test at 5% level of significance is?
TS PGECET - 2024
TS PGECET
Engineering Mathematics
Probability and Statistics
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?
TS PGECET - 2024
TS PGECET
Engineering Mathematics
Probability and Statistics
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?
TS PGECET - 2024
TS PGECET
Engineering Mathematics
Probability and Statistics
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?
TS PGECET - 2024
TS PGECET
Engineering Mathematics
Probability and Statistics
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} = $?
TS PGECET - 2024
TS PGECET
Engineering Mathematics
Fourier series
The complete solution of \( (mz-ny)\frac{\partial z}{\partial x} + (nx-lz)\frac{\partial z}{\partial y} = ly-mx \) is
TS PGECET - 2024
TS PGECET
Engineering Mathematics
Differential Equations
Which of the following pair of functions are linearly dependent
TS PGECET - 2024
TS PGECET
Engineering Mathematics
Differential Equations
The number of positive integral solutions of $x+y+z = 12$, $x \le y \le z$ is?
TS PGECET - 2024
TS PGECET
Engineering Mathematics
Combinatorics
If $l>0, K<0$ are roots of $x^2 + x - 20 = 0$, the system of linear equations $3x - y + 4z = 3$, $x + 2y - 3z = -2$ and $6x + 5y + Pz = -3$ has?
TS PGECET - 2024
TS PGECET
Engineering Mathematics
Linear Algebra
Let \( \vec{F} \) be a vector point function defined inside and on the surface (S) of the sphere \( x^2+y^2+z^2=1 \). Then \( \oint_S (\text{Curl} \vec{F}) \cdot \hat{n} ds = \)
TS PGECET - 2024
TS PGECET
Engineering Mathematics
Calculus
\( \int_{0}^{2} \int_{0}^{\sqrt{y}} e^{y/x} dx dy = \)
TS PGECET - 2024
TS PGECET
Engineering Mathematics
Calculus
The system of equations \( \begin{bmatrix} -2 & 1 & 1 \\ 1 & -2 & 1 \\ 1 & 1 & -2 \end{bmatrix} \begin{bmatrix} x \\ y \\ z \end{bmatrix} = \begin{bmatrix} a \\ b \\ c \end{bmatrix} \) has
TS PGECET - 2024
TS PGECET
Engineering Mathematics
Matrix
If \( \begin{bmatrix} \frac{1}{\sqrt{3}} & \frac{1+i}{\sqrt{3}} \\ \frac{1-i}{\sqrt{3}} & \frac{K}{\sqrt{3}} \end{bmatrix} \) is a unitary matrix, then the sum of all possible values of K is
TS PGECET - 2024
TS PGECET
Engineering Mathematics
Matrix
Which type of I/O does NOT use interrupts?
TS PGECET - 2024
TS PGECET
Computer Science & Information Technology
Computer Organization and Architecture
A coil of resistance \(12 \Omega\) and inductance 18 H is suddenly connected to a dc supply of 30 V. Calculate time constant
TS PGECET - 2024
TS PGECET
Electronics and Communication Engineering
Electric circuits and fields
Melting rates of electrodes in manual metal arc welding process is mainly governed by the
TS PGECET - 2024
TS PGECET
Metallurgical Engineering
Manufacturing Processes
The maximum area of a rectangle that can be inscribed in a circle of radius $R$ is
TS PGECET - 2024
TS PGECET
Engineering Mathematics
3D Geometry
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