List of top Questions asked in GATE Geomatics Engineering

Consider the following functions for non-zero positive integers, \( p \) and \( q \):
\[ f(p, q) = p \times p \times p \times \cdots \times p = p^q \quad ; \quad f(p, 1) = p \] \[ g(p, q) = ppppp\cdots (up \text{ to } q \text{ terms}) \quad ; \quad g(p, 1) = p \] Which one of the following options is correct based on the above?
Four cities P, Q, R, and S are connected through one-way routes as shown in the figure. The travel time between any two connected cities is one hour. The boxes beside each city name describe the starting time of the first train of the day and their frequency of operation. For example, from city P, the first trains of the day start at 8 AM with a frequency of 90 minutes to each of R and S. A person does not spend additional time at any city other than the waiting time for the next connecting train.
If the person starts from R at 7 AM and is required to visit S and return to R, what is the minimum time required?
Equal sized circular regions are shaded in a square sheet of paper of 1 cm side length. Two cases, case M and case N, are considered as shown in the figures below. In the case M, four circles are shaded in the square sheet and in the case N, nine circles are shaded in the square sheet as shown.
What is the ratio of the areas of unshaded regions of case M to that of case N?
Following observation equations are obtained in a survey task.
\[ x + y = 3 \\ 2x + y = 6 \\ x + 2y = 4 \] Using least square method, the most probable values of x and y will be

For the following observation equation \[ 2\alpha = 124^\circ 52' 22'' \quad \text{weight 4,} \] the weight of  \(\left( \frac{\alpha}{3} \right)\) \(\text{ is}\) __________________ (in integer)

The overall image classification accuracy (in percentage) calculated from the following error matrix is __________________ (in integer).
Number of bytes required to store an 8-bit uncompressed image of size 512 × 512 pixels is __________________ (in integer).
The minimum and maximum Digital Number (DN) values of an image are 30 and 55, respectively. If the input DN value of a pixel is 35, the output DN value after linear contrast stretch of an 8-bit data is __________________ (in integer).
The FOV of a sensor (for a scene) placed at a nadir height of 6 km is 90 degree. The ground swath width of the scene is __________________ km (in integer).
For a given set of radiance values, which amongst the following is/are unitless?
Identify the CORRECT statement(s).
Choose the CORRECT statement(s).
Match the CORRECT option(s) for the types of filters given in (I), (II), (III), and (IV) with their kernels given in (P), (Q), (R), and (S).
Band ratio in satellite images interpretation is applied to
The decorrelation stretch enhances colour differences and removes inter-band __________________.
Choose the INCORRECT statement about image segmentation in digital image processing.
When the histogram of an image is non-Gaussian in nature, the type of linear contrast enhancement preferred to be used is
Spinning of the Earth, as viewed from the North pole, appears to be from
In case of Principal Component Analysis (PCA), the variance of a single variable expresses the spread of its values about the
Select the CORRECT sequence for supervised classification of satellite image.
(i) Classification
(ii) Training
(iii) Accuracy assessment
(iv) Radiometric/geometric correction
The sum of all the values of a normalized histogram is equal to __________________ (in integer).
In a Landsat-8 scene, digital number (DN) values of a pixel in band-4, band-5 and band-10 are 80, 100 and 30, respectively. What would be the NDVI value for the same pixel (round off to 3 decimal places)?
A staff is held vertical at a distance of 100 m and 300 m, respectively. Observations are taken with a Tacheometer and staff intercepts, with the telescope kept horizontal, are 0.990 m and 3.000 m, respectively. The theodolite is set over a station having a RL of 950.500 m and the height of instrument is 1.425 m. The multiplicative constant of the Tacheometer is __________________ (round off to 2 decimal places).
Survey of India topographic sheet is 53G/12. At this scale, the number of toposheets that would cover a land area equivalent to 4 degree by 4 degree is __________________ (in integer).
The correlation coefficient between two bands of remote sensing data that would yield good classification is