List of top Geomatics Engineering Questions asked in GATE CE

Given the following values, calculate the required properties: \[ S = 0.67, \quad e = 0.6, \quad w = 0.15, \quad G = 2.67, \quad \gamma_w = 9.81 \, \text{kN/m}^3, \quad V = 5 \, \text{m}^3 \]

To reduce the slope distance (S) to an equivalent horizontal distance (H) as shown in the figure given below, the following independent observations were taken.
\(S = 29.95 m ± 0.01 m; \theta = 4°30' ± 10' \)
The required precision of computed horizontal distance is ± 0.005 m. Assume a "balanced accuracy" where the contribution to precision of the horizontal distance comes equally from the slope distance and angle measurements. The minimum number of angle observations to achieve the desired precision is 
(Given 1 radian = 206265 seconds) 

What is the CORRECT match between the survey instruments/parts of instruments shown in the table and the operations carried out with them ?

Instruments/Parts of instruments		Operations
P	Bubble tube	i	Tacheometry
Q	Plumb bob	ii	Minor movements
R	Tangent screw	iii	Centering
S	Stadia cross-wire	iv	Levelling

In tangential method of tacheometry, two vanes in a staff were fixed at a distance of 1.0 m with the bottom vane fixed at 1.0 m. The levelling staff was held vertical at a point P and the vertical angles of the vanes observed were 5°30′ and 3°15', respectively. The vertical distance between the instrument axis and the bottom vane would be _______ m (rounded off to two decimal places).

The standard error of a unit weight for a set of angle observations is 10". The minimum number of observations required to reduce the standard error of the mean for this set of observations to 2" is ______ (in integer).

Using the given 3 × 3 pixel kernel and original image and applying the concept of convolution, the value of central pixel of the output image is _____ (in integer).

Using the following data, the spatial resolution of a push-broom sensor is _________ m (in integer). 
Data: 
Orbital altitude (above earth surface) = 1000 km 
Number of spectral bands = 5 
Number of detectors/CCDs (charged coupled devices) in a row = 4000 
Ground swath = 20 km

A map is prepared with a scale of 1:1000 and a contour interval of 1 m. If the distance between two adjacent contours on the map is 10 mm, the slope of the ground between the adjacent contours is

A high tower appeared on an aerial photograph taken at 1000 m above mean sea level with a camera lens of 15 cm focal length. The radial distances of the top and bottom images of the tower from principal point of photograph are 92.6 mm and 78.3 mm, respectively. If the average elevation of terrain is 300 m above mean sea level, then the height of the tower above ground is _________ m (rounded off to the nearest integer).

A four-band multispectral image with pixel size of 50 m x 50 m covers a ground area of 20 km × 20 km. If the radiometric resolution of the satellite data is 8 bits, then the uncompressed satellite image contains _______ kilobytes (kB) of data (in integer).

The magnetic bearing of a line in the year 1990 was found to be N 40°30' W and magnetic declination was 3°30′ E. If the present magnetic declination is 2°10′ W, the magnetic bearing now (in reduced bearing system) would be

A surveyor observes a zenith angle of 93° 00' 00" during a theodolite survey. The corresponding vertical angle is

If the plotting accuracy of a map is 0.25 mm and the scale of the same map is 1:100000, what will be the minimum ground distance that can be plotted on the map?

Independent angles AOB, BOC and AOC were observed as shown in figure. The standard error of all observations is same. The adjusted values of these angles using the least squares adjustment are

If the number of sides resulting in a closed traverse is increased from three to four, the sum of the interior angles increases by

To finalize the direction of a survey, four surveyors set up a theodolite at a station P and performed all the temporary adjustments. From the station P, each of the surveyors observed the bearing to a tower located at station Q with the same instrument without shifting it. The bearings observed by the surveyors are 30° 30' 00", 30° 29′ 40′′, 30° 30′ 20′′ and 30° 31′ 20′′. Assuming that each measurement is taken with equal precision, the most probable value of the bearing is

In general, the outer edge is raised above the inner edge in horizontal curves for

For a reconnaissance survey, it is necessary to obtain vertical aerial photographs of a terrain at an average scale of 1: 13000 using a camera. If the permissible flying height is assumed as 3000 m above a datum and the average terrain elevation is 1050 m above the datum, the required focal length (in mm) of the camera is

A bird is resting on a point P at a height of 8 m above the Mean Sea Level (MSL). Upon hearing a loud noise, the bird flies parallel to the ground surface and reaches a point Q which is located at a height of 3 m above MSL. The ground surface has a falling gradient of 1 in 2. Ignoring the effects of curvature and refraction, the horizontal distance (in meters) between points P and Q is ______ (in integer).

Which of the following statement(s) is/are CORRECT?

Among the following statements relating the fundamental lines of a transit theodolite, which one is CORRECT?

Which of the following statistical classification algorithms is/are represented by the figure given below?

In spatial interpolation using coordinate transformations for image-to-map rectification, the minimum number of ground control points (GCPs) required to perform a third-order transformation is _________ (in integer).

Which of the following statements about image ratio is/are CORRECT?

In an image with 6-bit quantization level, the pixel values of a scene are between 25 and 55. A linear contrast stretch is applied to the image covering the full dynamic range. A pixel value 40 in the original image will be mapped to ________ (rounded off to nearest integer) in the stretched image.