List of top Questions asked in GATE GG- 2025

Shown below is a schematic plot of \(\varepsilon_{Nd}\) (deviation of \(^{143}Nd/^{144}Nd\) in a sample relative to CHUR) versus time. The two solid lines represent the evolution curves for the depleted mantle reservoir and the continental crust. Which one of the four dashed lines, marked 1, 2, 3, and 4, represents the evolution of the CHUR? 


 

The combinations listed below represent major minerals observed in four igneous rocks: 
(i) Olivine and Anorthite, (ii) K-feldspar and Quartz, (iii) Mg-Ca-pyroxene and Ca-Na-plagioclase, (iv) Amphibole and Na-Ca-plagioclase 
Arrange these mineral combinations based on decreasing temperature of magma crystallization.

An object is said to have an n-fold rotational symmetry if the object, rotated by an angle of \( \frac{2\pi}{n} \), is identical to the original. 
Which one of the following objects exhibits 4-fold rotational symmetry about an axis perpendicular to the plane of the screen? 
 

A circle with center at \( (x, y) = (0.5, 0) \) and radius = 0.5 intersects with another circle with center at \( (x, y) = (1, 1) \) and radius = 1 at two points. One of the points of intersection \( (x, y) \) is:

“Why do they pull down and do away with crooked streets, I wonder, which are my delight, and hurt no man living? Every day the wealthier nations are pulling down one or another in their capitals and their great towns: they do not know why they do it; neither do I. It ought to be enough, surely, to drive the great broad ways which commerce needs and which are the life-channels of a modern city, without destroying all history and all the humanity in between: the islands of the past.”
(From Hilaire Belloc’s “The Crooked Streets”)
Based only on the information provided in the above passage, which one of the following statements is true?
 

As the police officer was found guilty of embezzlement, he was ___________ dismissed from the service in accordance with the Service Rules. Select the most appropriate option to complete the above sentence.

During a geochemical exploration survey in a hilly terrain, Cu concentration of stream sediments from a third order basin outlet was measured to be 3000 ppm. Considering a catchment area of 10 km\(^2\) and a Cu background value of 200 ppm, which one of the following options is the productivity of this catchment for Cu?
Which one of the following statements explains why elements Li, Be, and B have low cosmic abundance?

A hillslope is shown below. If the area over the failure plane is 50 m\(^2\) and the weight of the hillslope material (W) is 2000 tons, the Factor of Safety (FOS) for this hillslope in dry conditions is ________.
Cohesion along failure plane = 196 kPa, Dip of failure plane = 60°, Internal friction angle = 30°, Area over failure plane = 50 m\(^2\), Weight of hillslope material = 2000 tons (Round off to two decimal places)

If one liter of water at pH 7 is mixed with one liter of water at pH 6, the resulting pH of the mixture is ____________
If the lowest Digital Number (DN) value in an image of 10-bit radiometric resolution is 0, then the maximum DN value of that image is ________
Which of the following statements is/are correct regarding the magnetic field lines of the Earth, at the magnetic poles and the magnetic equator?
Which of the following can indicate the presence of significant sub-surface iron mineralization?
Three pixels P, Q, and R in an image are characterized by the NDVI values of +0.84, +0.01, and -0.89, respectively. Which of the following options is/are correct?
The ratio of P-wave to S-wave velocities, Vp/Vs, within the Earth depends on

Consider two intersecting, north-easterly striking and south-easterly dipping dikes Y1 and Y2, which are exposed on an east-west trending vertical wall of a granite (X) quarry as shown below. 

The angle that the dikes make with the horizontal on the quarry wall is

Select the option that lists oxide minerals only.
A sample contains 7 wt% CaO and 5 wt% MgO. The molar ratio of CaO to MgO in the sample is ________(Round off to two decimal places)

A watershed has an area of 74 km\(^2\). The stream network within this watershed consists of three different stream orders. The stream lengths in each order are as follows: Ist order streams: 3 km, 2.5 km, 4 km, 3 km, 2 km, 5 km
IInd order streams: 10 km, 15 km, 7 km
IIIrd order streams: 30 km
The drainage density of the watershed is _________km/km\(^2\) (Round off to two decimal places)

Which of the following time boundaries correspond(s) to major mass extinction events?
The continuous series of Bowen’s reaction series is represented by
Which one of the following geophysical methods can provide information on deep Earth structures (of the order of 1000 km) with highest resolution?
A type of fold which is relatively sharp and angular at its synformal and antiformal hinges is known as:
On a normal fault plane dipping 60° towards east, the measured heave and throw are 5 m and 12 m, respectively. If the strike-slip component of the fault is 13 m, the magnitude of true displacement of the fault is ________m.
A 3×3 image (Image A) has been linearly stretched to get the maximum contrast in an 8-bit display system. Digital Number (DN) values of the pixels in Image A are shown. The value of the pixel marked as '?' in the output Image B after linear stretching is ________
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