Geology And Geophysics - (GG) 2018 GATE Paper (Practice Test) - GATE

The area of an equilateral triangle is √3. What is the perimeter of the triangle?

Arrange the following three-dimensional objects in the descending order of their volumes:
(i) A cuboid with dimensions 10 cm, 8 cm and 6 cm
(ii) A cube of side 8 cm
(iii) A cylinder with base radius 7 cm and height 7 cm
(iv) A sphere of radius 7 cm

An automobile travels from city A to city B and returns to city A by the same route. The speed of the vehicle during the onward and return journeys were constant at 60 km/h and 90 km/h, respectively. What is the average speed in km/h for the entire journey?

A set of 4 parallel lines intersect with another set of 5 parallel lines. How many parallelograms are formed?

To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of 6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000 candidates. Question B was answered correctly by 2,50,000 candidates. Question C was answered correctly by 2,60,000 candidates. Both questions A and B were answered correctly by 1,00,000 candidates. Both questions B and C were answered correctly by 90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates. If the number of students answering all questions correctly is the same as the number answering none, how many candidates failed to clear the test?

If �� ² + �� − 1 = 0 what is the value of 

 In a detailed study of annual crow births in India, it was found that there was relatively no growth during the period 2002 to 2004 and a sudden spike from 2004 to 2005. In another unrelated study, it was found that the revenue from cracker sales in India which remained fairly flat from 2002 to 2004, saw a sudden spike in 2005 before declining again in 2006. The solid line in the graph below refers to annual sale of crackers and the dashed line refers to the annual crow births in India. Choose the most appropriate inference from the above data.

Which one of the following periods has the longest time duration?

A siliciclastic sedimentary rock consisting predominantly of the same type of gravel-sized clasts is called

Brown coal that has high moisture content and commonly retains many of the original wood fragments is called

The speed of revolution of the Earth around the Sun is

The geometrical factor for the following electrode configuration is

Which one of the following geophysical methods uses the physical property ‘Dielectric Constant’?

Pascal second is a unit of

Which one of the following statements is CORRECT?

The geomorphic feature ‘horns’ are formed by

A melanocratic porphyritic rock containing phenocrysts of biotite, with feldspar restricted to the groundmass, is called

 The supercontinent that existed in the late Mesoproterozoic to early Neoproterozoic time was

The figure below shows the triple junction between three plates A, B and C. The boundary between the plates A and B is a ridge with a half-spreading rate of 4 cm/year. The A-C and B-C boundaries are collinear and orthogonal to the A-B ridge. The A-C boundary is a dextral transform fault with a relative velocity of 6 cm/year. The boundary between plates B and C is a

A rock follows Mohr-Coulomb failure criterion. Which one of the Mohr-Coulomb failure envelopes shown below allows failure of the rock under stress state Y, but not under stress state X?

The maximum and the minimum principal stresses are denoted by σ1 and σ3, respectively. The differential stress can have an absolute value greater than σ1 when

The geoid can be best defined as

Gor a layered isotropic medium with a flat horizontal free surface, match the wave types listed in Group-I with their corresponding polarizations listed in Group II.

A ‘gentle’ fold with an interlimb angle equal to 160° appears tight (apparent interlimb angle equal to 20°) in horizontal section. According to the plunge of the fold axis, it can also be classified as

The unit of shear modulus (rigidity modulus) is

With increasing activity of silica, the CORRECT order of appearance of minerals in a weathering environment with constant ratio of activities of K⁺ and H⁺ is

Match the items listed in Group-I with those listed in Group-II.

Which one of the following corrections is always added during reduction of the observed gravity data?

The magnitudes of the total geomagnetic field at the equator and pole are denoted by B_E and B_P, respectively. Which one of the following is TRUE?

Assume a flat earth with crustal thickness of 35 km and average crustal and upper mantle P-wave velocities of 6.4 km.s^–1 and 8.1 km.s^–1, respectively. The minimum distance from the epicenter of a near surface earthquake at which Pn-waves are observed is _______ km.

Given that the velocity of P-waves in a sandstone matrix is 5600 m/s and that in oil is 1200 m/s, the velocity of P-wave propagation in oil saturated sandstone with 30% porosity is ___________ m/s. (Use Wyllie time average equation.)

If the total porosity of a soil is 20%, its void ratio (%) is _________.

Which one of the following Himalayan lithounits predates India-Eurasia collision?

Which one of the following ore minerals shows internal reflection?

Which one is CORRECT for the following equilibrium reaction between quartz and magnetite:

Si¹⁶O¹⁶O + Fe₃¹⁶O₃¹⁸O = Si¹⁶O¹⁸O + Fe₃¹⁶O₄ ?

Match the modes of life (listed in Group I) with the corresponding bivalve genera (listed in Group II).

Based on the hypothetical litholog given below that shows a continuous succession of sedimentary rocks, which one of the following statements is CORRECT?

Which one of the following cladograms shows the CORRECT interrelationships among the major groups of vertebrates?

Which one of the following stratigraphic successions is in the CORRECT chronological order (from older to younger)?

Match the items listed in Group I with their appropriate description listed in Group II.

Which one of the following is an image rectification technique?

Match the items listed in Group I with those in Group II.

Match the items listed in Group I with those listed in Group II.

In the hypothetical isobaric ternary liquidus projection diagram given below, solid phases A, B, C, D and E exist in equilibrium with liquid. The reaction taking place at the isobaric invariant point W is

Match the optical properties listed in Group I with the corresponding mineral in Group II.

The reaction

muscovite + quartz = K-feldspar + sillimanite + water

Match the items listed in Group I with those in Group II.

The figure below is a schematic section showing the initial stages of development of a thrust fault (FF’)  having a typical ramp and flat geometry, with the thrust sheet being transported from east to west. With respect to the synform and antiform created in Stage 2, which one of the options below is CORRECT for the next increment of movement on the fault plane?

Which one of the following is the CORRECT chronological sequence for Iron formations?

Assertion (a): High-temperature, low-pressure metamorphism occurs on the over-riding plate near convergent plate margins.
Reason (r): Partial melting in the mantle wedge generates magmas that rise to form the arc.  

Two coeval primary aqueous biphase fluid inclusions, X (liquid-rich) and Y (vapour-rich), occur in the same grain of the host mineral. Which one of the following situations most likely indicates boiling of the fluid?

During bench blasting in a quarry, 50 kg of an explosive with a yield of 5 MegaJoule/kg is required to break 100 m³ of marble. In this case, the energy expended in breaking a unit volume of marble in MegaNewton/m² would be _________________.

The stretching lineation on the axial plane (S₂) of a reclined fold on the S₁ foliation makes an angle of 30° with the S₁/S₂ intersection lineation. The rake of the stretching lineation on the axial plane in degrees is ______________.

A basaltic magma has an initial nickel concentration of 300 ppm. Olivine crystallizes from this magma by equilibrium crystallization (Case I) or fractional crystallization (Case II). Then, the absolute value of the difference between the nickel concentrations of the liquids remaining after 25% crystallization in these two cases is _______________. (Use K_D,Ni olivine/melt = 10).

The difference in the number of faces in forms {hkl} and {111} in the holosymmetric class of the isometric system is _______________.

An inclined cylindrical confined aquifer has coefficient of permeability of 40 m/day. The horizontal distance between two vertical wells penetrating the aquifer is 800 m. The water surface elevations in the wells are 50 m and 45 m above a common horizontal datum. The absolute value of Darcy flux through the aquifer is ______________ m/day.

The mass and volume of a natural soil sample are 2.1 kg and 1×10^-3 m³, respectively. When fully dried, the mass of the soil sample becomes 2 kg without any change in volume. Assuming the specific gravity of soil particles to be 2.5, and water density of 1000 kg/m³, the degree of saturation of the natural soil sample is _______________%

For a granitic rock mass, joint set number (Jn) = 9, joint water reduction factor (Jw) = 1, joint alteration number (Ja) = 1, stress reduction factor (SRF) = 1, rock quality designation (%) = 84 and joint roughness number (Jr) = 3. The Q-value as per Barton’s Q-system of rock mass classification (year 1974) is _______________. 

A sun synchronous satellite is at an altitude of 300 km and the spectrometer makes an angular coverage angle of 12°. The Swath (GFOV) of the satellite is ______________ km.

The stability field boundary between two minerals A and B is linear with a positive slope in P-T space. The molar entropy of A and B are 85.5 and 92.5 Joules K^-1, respectively and their respective molar volumes are 35.5 and 38.2 cc. The slope of the phase boundary in P-T space is _____________ bar K^-1.

Five moles of gas A (volume V1) and 3 moles of gas B (volume V2) were kept in separate containers. These two gases are completely transferred to a new container of volume V. Assuming isothermal condition, and that the work done is only mechanical, the entropy change of the system is ____________ Joules K^-1. (R = 8.3 J K^-1 mole^-1)

The value of Eh corresponding to the upper limit of natural surface aqueous environment at pH of 8.0 is _____________ V.

The maximum number of linearly independent rows of an m × n matrix G where m > n is 

The impulse response of the Kirchhoff pre-stack time migration operator for non-zero offsets in a homogeneous and isotropic medium is _______.

A solution to the eikonal equation |��_��| = 1⁄��₀ for a homogeneous and isotropic medium in cartesian coordinates is 

The formula for the ‘forward’ Fourier transform isand that for the ‘inverse’ Fourier transform is  Then, the forward Fourier transform of the function is

Which one of the following rock types has the highest bulk magnetic susceptibility value?

 Figure 1 is a schematic diagram of four seismic events in t-x (time-offset) domain and Figure 2 is the result of transformation from t-x domain to f-kx (frequency-horizontal wavenumber) domain. Match the events in t-x domain in Figure 1 with their counterparts in f-kx domain in Figure 2.

There is a change in the values of the bulk modulus and density across the Gutenberg discontinuity (from mantle to outer core). Which one of the following statements is CORRECT?

 Multi-electrode resistivity survey is carried out by placing 10 equispaced electrodes (denoted by arrows in the figure below) on the surface of the earth. The points of observations in the distance-apparent depth plane are marked as solid dots in the figure shown below. Considering the mid-point of the 4-electrode array as the point of observation in the lateral direction, identify the CORRECT electrode configuration used for the survey.

Match the Electromagnetic methods in Group I with the corresponding quantity measured by them given in Group II

Dip angle electromagnetic response measured along a profile over multiple conductors is shown in the figure below. Which of the crossover points P, Q and R represent the CORRECT locations of conductors beneath them?

The effect of small scale near surface inhomogeneities can be removed from magnetic data by

The frequencies of the primary magnetic field generated by worldwide thunderstorm activity vary in the range

AssertionAssertion (a): The Static Self-Potential for a thick, clean freshwater bearing sandstone formation is positive.
Reason(r): Resistivity of the formation water is less than the resistivity of salt water mudfiltrate. 

Which one of the following well log responses characterizes an overpressured zone in the subsurface?

The angle of inclination of the remanent magnetization measured on a basalt flow at a location P (28°N 85°E) is 40°. The palaeomagnetic latitude of the basalt flow is _______°N.

Using the Gutenberg-Richter recurrence relationship, the mean annual rate of exceedance of earthquake occurrence in a seismic belt is 0.3 per year for an earthquake of magnitude 6.0. The return period for an earthquake of magnitude 6.0 in this belt is ______ years. 

In the figure below, Z denotes the depth to the center of a buried sphere from the surface and X_1/2 denotes the half-width of the profile at half the maximum value of gravity. Then, the ratio Z/X_1/2 is ________.

Two survey vessels with shipborne gravimeters are cruising towards each other at a speed of 6 knots each along an east-west course. The difference in gravity readings of the two gravimeters is 63.5 mGal at the point at which the survey vessels cross each other. The latitude along which the survey vessels are cruising is ______°N.

A gravity reading is taken in a stationary helicopter hovering 1 km above mean-sea level at a particular location. The difference in the value of g measured in the helicopter and at mean sea level vertically beneath the helicopter is ____________ mGals.

The P-wave velocity and the Poisson’s ratio for a homogeneous and isotropic sedimentary rock are 2500 m/s and 0.3, respectively. The S-wave velocity for the rock is ________m/s.

A plane electromagnetic (EM) wave travelling vertically downwards with a frequency of 1000 Hz in a homogeneous medium has a skin depth of 100 m. The ratio of the amplitude of the EM wave at a depth of 75 m with respect to the amplitude at the Earth’s surface is 

A student interpreted a four layer Schlumberger resistivity sounding data and obtained the resistivities (r) and thicknesses (h) as follows: ρ₁=100 Ωm, ρ₂=20 Ωm, ρ₃=1500 Ωm and ρ₄=50 Ωm; h₁=50 m, h₂=10 m and h₃=20 m. The same data is interpreted by another student who obtains ρ₃=2000 Ωm. Then, according to the principle of equivalence, the value of h₃ interpreted by the second student is ________m. (All other model parameters estimated by both the students are the same.)

The apparent resistivities obtained at 0.1 Hz and 10 Hz in the frequency domain I.P. measurement are 100 Ωm and 80 Ωm, respectively. The Percentage Frequency Effect is _________.

A 15 Volt power supply is applied across a cylindrical container (diameter = 0.20 m and length = 0.50 m). Currents of 750 mA and 500 mA are measured when the container is filled with (i) brine only, and (ii) rock sample fully saturated with brine, respectively. The formation factor of the rock sample is __________.

The ratio of the number of daughter nuclides to the number of parent nuclides after a decay period of 3 half-lives is _______.

Consider a laterally homogeneous and isotropic earth model with a flat horizontal surface and three horizontal layers underlain by a half-space. A seismic reflection survey was simulated on this model with the sources and receivers placed on the surface. The table below lists the root mean square (rms) velocities, V_rms, and zero-offset two-way traveltimes t0 for the three reflection events from the bottom of each of the three layers observed in a pre-stack CDP (CMP) gather. The interval velocity of the second layer is _______ m/s.

A spherically symmetric vector field ⃗is defined by the relationship
The flux of the vector field through a sphere of unit radius is _________.

(Use �� = 3.14)

A horizontally travelling surface wave with a wavelength of 20 m is attenuated by a linear and uniform receiver array consisting of 4 receivers if the minimum receiver spacing is ________ m.

An end-on marine survey is carried out with equal and uniform shot and receiver spacing. If the total number of shots fired is 50 and a total of 10000 traces are recorded, the maximum fold for the survey is _______.

The highest singular value of the matrix G =