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questions
List of practice Questions
In a particular code, if "RAMAN" is written as 52 and "MAP" is written as 33, then how will you code "CLICK"?
GATE XH- C3 - 2024
GATE XH- C3
General Aptitude
Logical Reasoning
On the basis of the statements given below, which valid assumption(s) can be made?
Statements:
- Life has suffering
- Desire is the cause of suffering
- The end of desire is the end of suffering
- Desire can be reduced by following the noble eightfold path
Assumptions:
1. Suffering is because of wants
2. Life is not always full of suffering
3. The eightfold path can reduce suffering
4. Suffering is caused by life
GATE XH- C3 - 2024
GATE XH- C3
General Aptitude
Logical Reasoning
If 'KARAMCHAND' is coded as 'ICPCKEFCLF' what should be the code of 'CREATION'?
GATE XH- C3 - 2024
GATE XH- C3
General Aptitude
Logical Reasoning
Given an input line of numbers and words, a machine rearranges them following a particular rule in each step. Using the illustrated pattern, find the position of $58$ in the \emph{fourth
step for:} Input: \texttt{cb kb eb 58 49 23 38 jb nb gb 69 82}
GATE XH- C3 - 2024
GATE XH- C3
General Aptitude
Logical Reasoning
During a half-moon phase, the Earth-Moon-Sun form a right triangle. If the Moon-Earth-Sun angle at this half-moon phase is measured to be $89.85^\circ$, the ratio of the Earth-Sun and Earth-Moon distances is closest to
GATE XH- C3 - 2024
GATE XH- C3
Mathematics
Trigonometry
In a locality, the houses are numbered in the following way: The house-numbers on one side of a road are consecutive odd integers starting from 301, while the house-numbers on the other side of the road are consecutive even numbers starting from 302. The total number of houses is the same on both sides of the road. If the difference of the sum of the house-numbers between the two sides of the road is 27, then the number of houses on each side of the road is
GATE XH- C3 - 2024
GATE XH- C3
Mathematics
Arithmetic Progression
Which one of the given options is a possible value of $x$ in the following sequence?
\[ 3,\; 7,\; 15,\; x,\; 63,\; 127,\; 255 \]
GATE XH- C3 - 2024
GATE XH- C3
General Aptitude
Number Systems
A stacked seismic section shows a single dipping event with a slope of \(0.5\ \text{s/km}\). Stolt migration with a constant velocity of \(2\ \text{km/s}\) is applied to the data. The dip of the event in the migrated section in degrees is __________ (rounded off to one decimal place).
GATE GG - 2024
GATE GG
Geology and Geophysics
Seismic Data Processing
The number of half-lives \((t_{1/2})\) required for a radioactive isotope to decrease to \(2\%\) of its original abundance is _________ (rounded off to two decimal places).
GATE GG - 2024
GATE GG
Geology
Radioactive Decay
A monochromatic cosine wave with frequency \(0.24\ \text{Hz}\) and wavelength \(16\ \text{km}\) interferes with another monochromatic cosine wave with frequency \(0.3\ \text{Hz}\) and wavelength \(10\ \text{km}\). The group velocity of the resulting wave in km/s is _________ (rounded off to one decimal place).
GATE GG - 2024
GATE GG
Geology and Geophysics
Phase and group velocity
The figure shows a homogeneous rock layer of thickness \(100\ \text{m}\). A vertical borehole is drilled through the layer and gravity is measured at the top point \(A\) and at the base point \(B\). If the difference in measurements between \(A\) and \(B\) is \(5\ \text{mGal}\), find the density \(\rho\) of the rock layer in g/cc (ignore terrain corrections).
\includegraphics[width=0.5\linewidth]{17.png}
GATE GG - 2024
GATE GG
Geology and Geophysics
Gravity measurements
A magnetic field (B) of strength 50000 nT induces a magnetization (M) of magnitude 5 A/m in a rock. Given the magnetic permeability of free space \(\mu_0 = 4\pi \times 10^{-7}\,\text{H/m}\), the susceptibility of the rock is __________ (rounded off to three decimal places).
GATE GG - 2024
GATE GG
Geology and Geophysics
Magnetic Properties of Rocks
The amplitude of a monochromatic 1000 Hz EM wave reduces by a factor of \(1/e\) after penetrating to a depth of 100 m in a homogeneous medium. Given the magnetic permeability of free space \(\mu_0 = 4\pi \times 10^{-7}\,\text{H/m}\), the electrical conductivity of the medium in S/m is _________ (rounded off to three decimal places).
GATE GG - 2024
GATE GG
Geology and Geophysics
Electromagnetics
A plane P-wave is incident at an angle of \(60^\circ\) with respect to the normal to a horizontal reflector. If the incident medium is a homogeneous Poisson solid (\(\nu=0.25\)), the angle of the reflected, mode-converted S-wave with respect to the normal (in degrees) is _______ (rounded off to one decimal place).
GATE GG - 2024
GATE GG
Geology and Geophysics
Seismic Waves
A marine seismic survey was performed in a region with a flat, horizontal sea bed at a depth of 100 m from the sea surface. The datum of the stacked seismic section was fixed at the sea surface. If the P-wave velocity in water is \(1600\ \text{m/s}\), the radius of the first Fresnel zone at the sea bed at a frequency of \(50\ \text{Hz}\) corresponding to the stacked seismic section is _________ (rounded off to one decimal place).
GATE GG - 2024
GATE GG
Geology and Geophysics
Seismic Data Processing
Choose the CORRECT statement(s) on the phenomenon of spatial aliasing of seismic data.
GATE GG - 2024
GATE GG
Geology and Geophysics
Seismic Data Acquisition
The speed of a ship is given as \(V_1\) (km/h) and \(V_2\) (knots). The latitude of observation and the direction of the ship with respect to the North are \(\theta_1\) and \(\theta_2\), respectively. The CORRECT expression(s) for the Eötvös correction in mGal is/are:
GATE GG - 2024
GATE GG
Geology and Geophysics
Gravity measurements
Which of the following statements pertaining to the interpretation of Neutron log is/are CORRECT ?
GATE GG - 2024
GATE GG
Geology and Geophysics
Geophysical Well Logging
If $\vec{B
$ is the magnetic field in a region free of currents, then which of the following statements is/are correct? }
GATE GG - 2024
GATE GG
Geology and Geophysics
Magnetism and matter
Which of the following operations performed in the time-domain with any two causal seismic signals result(s) in the \textbf{subtraction of their corresponding phase spectra
in the frequency domain? }
GATE GG - 2024
GATE GG
Geology and Geophysics
Seismic Data Processing
A geophysical forward problem is expressed as \( d = 7m_1^2 m_2 + 6m_2 \), where \( m_1 \) and \( m_2 \) represent the model parameters and \( d \) represents the data. Then, the relationship between data and model parameters is
GATE GG - 2024
GATE GG
Geology and Geophysics
Geophysical Data Interpretation
Assuming that the polar flattening of the Earth \( f = 3.353 \times 10^{-3} \), the difference between the geodetic and geocentric latitudes is maximum at
GATE GG - 2024
GATE GG
Geology and Geophysics
Geoid
Which of the following statements related to an equipotential surface is/are CORRECT?
GATE GG - 2024
GATE GG
Geology and Geophysics
Scalar and vector potential fields
A Wenner resistivity survey was performed with a spacing of 15 m between the current electrodes. Potential difference values of \(-25\ \text{mV}\) and \(225\ \text{mV}\) were measured before and after injecting \(100\ \text{mA}\) current into the ground. The apparent resistivity in \(\Omega\cdot\text{m}\) after correcting for the self-potential effect is:
GATE GG - 2024
GATE GG
Geology and Geophysics
Electromagnetics
Nine equally spaced electrodes are placed along a profile to perform Dipole–Dipole multi-electrode resistivity imaging. The maximum number of data points that can be obtained at measurement level \(n=2\) is:
GATE GG - 2024
GATE GG
Geology and Geophysics
Various electrode arrangements
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