List of top Questions asked in AP PGECET

The coefficient of \(\dfrac{1}{z}\) in the Laurent's series expansion of the function \[ f(z)=\frac{1}{z^2(1-z)} \] about \(z=0\), is ____.

The value of the integral \[ \oint_{|z|=2}\frac{\cos\left(\dfrac{z}{2}\right)}{z^3}\,dz \] is ____.

Suppose the probability that an individual suffers an adverse reaction from a particular drug is known to be \(0.001\). The probability that out of \(2000\) individuals, exactly three will suffer an adverse reaction is ____.

The values of \(x\) and \(f(x)\) of a curve are as follows: \[ \begin{array}{|c|c|c|c|c|c|} \hline x & 2 & 2.5 & 3 & 3.5 & 4 \hline f(x) & 3 & 6 & 8 & 10 & 12 \hline \end{array} \] By Simpson's one-third rule, the area under the curve \(f(x)\) is ____.

If \(X\) is a normal random variable with mean \(\mu=100\) and variance \(\sigma^2=25\), then \[ P(90<X<120) \] is same as ____.

If \(F(s)\) is the Laplace transform of the function \[ f(t)=e^{-3t}(2\cos5t-3\sin5t), \] then \(F(0)=\_\_\_\_.\)

Suppose \(C\) is the closed curve defined as the circle \(x^2+y^2=1\) with \(C\) oriented anti-clockwise. The value of the line integral \[ \oint_C (x\,dy-y\,dx) \] is equal to ____.

If \(y=A(x)\cdot e^{-x^2\) is a solution of the differential equation} \[ \frac{dy}{dx}+2xy=2e^{-x^2} \] with \(y(0)=-3\), then the value of \(A(1)\) is ____.

The integral \[ \int_{0}^{\pi/2}\frac{\sin x}{x^p}\,dx \] converges if ____.

What is the Indian Standard for pre-stressed concrete?

If the matrix \[ A=\begin{pmatrix} -8 & 5 2 & 4 \end{pmatrix} \] satisfies the equation \(x^2+4x-k=0\), then the value of \(k\) is ____.

Toughness index gives a measure of shear strength of soil at _____.

The profile of the pre-stressing steel in pre-stressed concrete member follows

Identify the roller best suitable for compaction of cohesionless soils.

The minimum number of piles to be used if the piles are installed by the method of driving is _____.

The abutments of bridges are to be designed for _____.

The test performed on pile to separate load capacity into skin friction and end bearing components is _____.

The analysis of slab spanning in one direction is done by assuming it to be a beam of

The section in which concrete is not fully stressed to its maximum permissible value while stress in steel reaches its maximum value is called ____

The grade of concrete used for pre-stressed concrete shall not be less than _____.

Normally, the tensile strength of concrete is about ______ of its compressive strength.

Maximum longitudinal reinforcement in columns shall not exceed ____

For production of structural elements, which of the following system is used?

The minimum water content at which soil is fully saturated is ____

The Indian Standard Soil classification symbol for low compressible inorganic silt is ____