List of top Geo Informatics Engineering Questions on Surveying asked in GATE GE

A perfectly adjusted tacheometer is set at a point A having Reduced Level (RL) of 80.50 m and the following readings are taken to the staff held at point B having RL of 80.10 m.

The height of the instrument from the ground above point A is \underline{\hspace{1.8cm}} m (Rounded off to 2 decimal places).

Following is the page of a field book used for levelling. Few readings marked with ‘-’ are illegible. The Reduced Level (RL) of the Temporary Bench Mark (TBM) is ................. m (Rounded off to 2 decimal places). All the readings are in m. 

The following vertical circle readings were taken by a theodolite set up at station A to observe targets located at P and Q. Find the vertical angle $PAQ$. 

Which of the following triangles are well conditioned and may be suitable for control establishment using triangulation? 

The bearing of the line $AB$ from North is $143^\circ 40'$ and angle $ABC$ measured in clockwise direction is $309^\circ 30'$. The bearing of line $BC$ in Quadrantal Bearing System is ____________

For a profile given in the figure in the form of three steps A, B and C, the following information is available:
Height of step A ($H_A$) with respect to a reference line = 10 m (known and error free)
Difference in height between step A and step B ($h_1$) = 5 m $\pm$ 2 mm
Difference in height between step B and step C ($h_2$) = 8 m $\pm$ 3 mm
$H_B$ and $H_C$ are the unknown heights of step B and C, respectively. The step B is higher than step C and D.
The coefficient of correlation, $\rho_{h_1 h_2}$, between the height differences = 0.25
The coefficient of correlation between estimated heights of points B and C ($\rho_{H_B H_C}$) will be ............................. (Rounded off to 2 decimal places).

As shown in the following figure, let $d_1, d_2, d_3$ denote three uncorrelated clockwise directions, observed at point $P$ with equal standard errors for each direction, i.e., $\sigma_{d_1} = \sigma_{d_2} = \sigma_{d_3} = \pm \sqrt{2}''$. Let $\alpha_1$ and $\alpha_2$ be two included angles formed by these three directions. The covariance matrix (in arcsecond$^2$) for these included angles will be given as: 
 

Here, the covariance matrix would typically be presented in a LaTeX format, but for now we are using a placeholder.

In the following figure, A and B are fixed points with known plane rectangular coordinates. C and D are the new points in the control survey whose coordinates are to be determined. For this network, the surveyor has measured all 8 internal angles (1 to 8) and 5 sides BC, CD, DA, AC and BD. The value of redundancy (r) for the given figure will be equal to ................. (In integer).