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AP PGECET
List of top Questions asked in AP PGECET
A steel column with pinned ends has a length of \(2\,\mathrm{m}\). The modulus of elasticity \(E=2\times10^5\,\mathrm{MPa}\) and moment of inertia \(I=8\times10^6\,\mathrm{mm^4}\). The Euler critical load is
AP PGECET - 2026
AP PGECET
Civil Engineering
Structural Mechanics
A three-hinged arch of span \(8\,\mathrm{m}\) carries a central point load of \(32\,\mathrm{kN}\). If the central rise is \(2\,\mathrm{m}\), the horizontal thrust is
AP PGECET - 2026
AP PGECET
Civil Engineering
Structural Analysis
A steel tie of gross cross-sectional area \(800\,\mathrm{mm^2}\) has a hole of \(20\,\mathrm{mm}\) diameter for a bolt. If the plate thickness is \(10\,\mathrm{mm}\) and the tensile load is \(140\,\mathrm{kN}\), the net tensile stress in the member is
AP PGECET - 2026
AP PGECET
Civil Engineering
Material Mechanics
A cable of span \(10\,\mathrm{m}\) carries a uniformly distributed load of \(6\,\mathrm{kN/m}\) over the entire span. If the central dip is \(3\,\mathrm{m}\), the horizontal tension is
AP PGECET - 2026
AP PGECET
Civil Engineering
Structural Analysis
Consider the function \[ f(x,y)=(x-2)^2(y+3). \] Then
AP PGECET - 2026
AP PGECET
Geo Engineering and Geo Informatics
Linear Algebra
Residue of \(\tan z\) at \(z=\dfrac{\pi}{2}\) is
AP PGECET - 2026
AP PGECET
Geo Engineering and Geo Informatics
Linear Algebra
If \(X\) is a Poisson random variable with \(P(X=0)=0.8\), then the variance of \(X\) is equal to
AP PGECET - 2026
AP PGECET
Geo Engineering and Geo Informatics
Probability
The value of \[ \int_{0}^{2+i}\left(\frac{\bar z}{2}\right)^2dz \] along \(x=2y\), is
AP PGECET - 2026
AP PGECET
Geo Engineering and Geo Informatics
Linear Algebra
During a space shot, the primary computer system is backed up by two secondary systems. They operate independently of one another and each is \(90\%\) reliable. The probability that all three systems will be operable at the time of launch is
AP PGECET - 2026
AP PGECET
Geo Engineering and Geo Informatics
Probability
A propped cantilever beam has a degree of static indeterminacy equal to
AP PGECET - 2026
AP PGECET
Civil Engineering
Structural Analysis
The value of the definite integral \[ \int_{0}^{1}\frac{xe^{x}}{(x+1)^2}\,dx \] is equal to
AP PGECET - 2026
AP PGECET
Geo Engineering and Geo Informatics
Linear Algebra
Let \[ I=\int_C z\,dx+y\,dy+xz\,dz, \] where \(x,y,z\) are real and \(C\) is the straight line segment from the point \((0,2,1)\) to the point \((4,1,-1)\). The value of the line integral \(I\) is
AP PGECET - 2026
AP PGECET
Geo Engineering and Geo Informatics
Linear Algebra
The Normalized Digital Surface Model is generally calculated as:
AP PGECET - 2026
AP PGECET
Geo Engineering and Geo Informatics
Geographic Information System - GIS
The eigen values of a \(3\times3\) real matrix \(A\) are \(1,-2,3\). Then
AP PGECET - 2026
AP PGECET
Geo Engineering and Geo Informatics
Linear Algebra
The rank of the matrix \[ A= \begin{pmatrix} 1&2&3\\ 2&1&0\\ 0&1&2 \end{pmatrix} \]is
AP PGECET - 2026
AP PGECET
Geo Engineering and Geo Informatics
Linear Algebra
The value of the constant \(a\) so that the vector \[ \vec{V}=(x+3y)\hat{i}+(y-2z)\hat{j}+(x+az)\hat{k} \] is solenoidal is
AP PGECET - 2026
AP PGECET
Geo Engineering and Geo Informatics
Linear Algebra
What is the difference between join and relate in GIS?
AP PGECET - 2026
AP PGECET
Geo Engineering and Geo Informatics
Geographic Information System - GIS
In a Vector data model, which of the following is representation of an area?
AP PGECET - 2026
AP PGECET
Geo Engineering and Geo Informatics
Geographic Information System - GIS
A sensor with 10-bit radiometric resolution can record how many gray levels?
AP PGECET - 2026
AP PGECET
Geo Engineering and Geo Informatics
Radiometry
The minimum spatial resolution offered by SRTM Digital Elevation Model is:
AP PGECET - 2026
AP PGECET
Geo Engineering and Geo Informatics
Remote Sensor
A GIS contains which component?
AP PGECET - 2026
AP PGECET
Geo Engineering and Geo Informatics
Geographic Information System - GIS
Which language is commonly used for querying attribute data in GIS databases?
AP PGECET - 2026
AP PGECET
Geo Engineering and Geo Informatics
Geographic Information System - GIS
Positional error is error due to:
AP PGECET - 2026
AP PGECET
Geo Engineering and Geo Informatics
Surveying
The following model represents terrain variation more efficiently with fewer data points:
AP PGECET - 2026
AP PGECET
Geo Engineering and Geo Informatics
Geographic Information System - GIS
Kriging differs from Inverse Distance Weighting (IDW) interpolation because it:
AP PGECET - 2026
AP PGECET
Geo Engineering and Geo Informatics
Geographic Information System - GIS
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