Suresh said, βI did it yesterday.β Which one of the following options is the correct form of this sentence in indirect speech?
a.
Suresh said that I did it yesterday.
b.
Suresh says I did it yesterday.
c.
Suresh says that he did it the day before.
d.
Suresh said that he had done it the day before.
Correct Answer
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Q2mcq
To continue the sequence of tiles shown, the tile indicated by the question mark should be
a.
b.
c.
Correct Answer
d.
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Q3mcq
Consider an art gallery whose walkways are shown as lines in the diagram. A black dot represents a junction of two walkways. A guard may be placed at a junction to watch over the walkways that join at that junction. The minimum number of guards needed to watch all the walkways is ________.
a.
2
b.
3
Correct Answer
c.
4
d.
5
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Q4mcq
The 2 nd of June is a Thursday in a certain year. Which day of the week is the 3 rd of July in that year?
a.
Thursday
b.
Friday
c.
Saturday
d.
Sunday
Correct Answer
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Q5mcq
A coin with heads facing up is shown as and a coin with tails facing up is shown as. Six coins are placed in the Starting Arrangement, as shown in the figure below. A βstepβ is defined as interchanging a pair of adjacent coins without flipping them. The minimum number of steps needed to go from the Starting Arrangement to the Final Arrangement, as shown in the figure, is ________.
a.
3
b.
6
c.
9
Correct Answer
d.
12
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Q6mcq
Exacerbate: Mitigate:: ___________ Choose the option with the correct pair of words to fill the blank.
a.
Aggravate: Alleviate
Correct Answer
b.
Alleviate: Precipitate
c.
Aggravate: Precipitate
d.
Emancipate: Exonerate
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Q7mcq
A paper shown in Panel I is folded along the dashed lines (- - -) to construct a cube. The shaded regions shown in Panel I appear on the outer surface of the cube. Referring to cubes shown in Panel II, which one of the options is correct?
a.
Only (i) can correspond to the unfolded cube in Panel I.
b.
Only (ii) can correspond to the unfolded cube in Panel I.
Correct Answer
c.
Both (i) and (ii) can correspond to the unfolded cube in Panel I.
d.
Neither (i) nor (ii) can correspond to the unfolded cube in Panel I.
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Q8mcq
In a population, patients who have high cholesterol also have high blood-pressure (BP). Some patients with high BP also have diabetes. There are no patients who have both high cholesterol and diabetes. Furthermore, 1. the total number of patients with at least one of these conditions is 75, 2. the number of patients with high cholesterol is 10, 3. the number of patients with high BP is 45, and 4. the number of patients with only high BP and no other conditions is 20. Then the number of patients who have both diabetes and high BP is _______
a.
0
b.
15
Correct Answer
c.
20
d.
10
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Q9mcq
Four people P, Q, R, and S, of different ages, make the following observations. P β I am younger than S. Q β I am neither the youngest nor the oldest. R β P is older than me. Based on these observations, the youngest person is ______.
a.
P
b.
Q
c.
R
Correct Answer
d.
S
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Q10mcq
Circles $C$ 1, $C$ 2, and $C$ 3, with centers $O$ 1, $O$ 2, and $O$ 3, and radii $r$ 1, $r$ 2, and $r$ 3, respectively, touch each other as shown in the following figure. Given $r$ 1 = 2 cm, $r$ 2 = 1 cm and the angle $β O$ 1 $O$ 3 $O$ 2 is 90Β°, $r$ 3 = _____ cm.
a.
1 (-3 + $\sqrt{17}$) 2
Correct Answer
b.
1 (3 + $\sqrt{17}$) 2
c.
1 (-2 + $\sqrt{17}$) 2
d.
1 (-3 + $2\sqrt{17}$) 2
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If $r$ 1 and $r$ 2, respectively, denote the equatorial and polar radii of a reference ellipsoid, then the radius, $R,$ of its equivalent sphere is given by
a.
$(r$ 1 $r$ 22) 2/3
b.
$r$ 1 $r$ 22
c.
$(r$ 12 $r$ 2) 1/3
d.
$r$ 12 $r$ 2
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A quartz vein in a granitic outcrop has an initial length of 20 cm. If it undergoes uniform stretching resulting in a longitudinal strain of 0.45, the length of the vein post deformation is _________cm (answer in integer).
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If the diameter of a scaled-down model of the Earth is 45 cm, then the equivalent length on the surface of the Earth for 1 cm on the model is _____________ km (rounded off to two decimal places). [Use: Radius of the Earth = 6371 km]
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The wavelength of a certain portion of the electromagnetic spectrum ranges from 2000 nm to 3000 nm. The highest frequency associated with the above portion of the spectrum $is____________\times10$ 8 MHz (rounded off to one decimal place).
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Consider that the upper continental crust is 10 km thick and made up of granitic rock having density of 2800 kg/m 3. The surface heat flow due to radiogenic heat from the granitic rock having heat production value of 10 -9 W/kg is______________ mW/m 2 (answer in integer).
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If $A b$ and $A s$ denote the amplitudes of the body and surface waves, respectively, at a distance, $r,$ from the source, then the relation between them is given by
a.
$A b$ $\propto \sqrt{r}$ $A s$
b.
$A b$ $\proptor$ $A s$
c.
$A b$ 1 $\propto$ $A s r$
d.
$A b$ 1 $\propto$ $A s \sqrt{r}$
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If Ο and $p$ denote intercept time and slowness, respectively, in the Ο - $p$ diagram, then which one of the following is CORRECT for a P-wave propagating inside the Earth?
a.
Velocity continuously increases with depth
b.
Velocity continuously decreases with depth
c.
Velocity initially increases then decreases and again increases with depth
d.
Velocity initially decreases then increases and again decreases with depth
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Which pairs of the following combinations of the H-, Q-, K- and A- type of resistivity sounding curves is/are NOT possible to generate four-layer models?
a.
HQ and AQ
b.
KQ and QH
c.
KH and AA
d.
HH and KA
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Which of the following is/are the correct explanation(s) for an increase in the adiabatic temperature gradient from the lower mantle (LM) to the outer core (OC)?
a.
OC has lower specific heat capacity and higher temperature than LM
b.
OC has higher specific heat capacity and lower temperature than LM
c.
OC has lower specific heat capacity and lower temperature than LM
d.
OC has higher specific heat capacity and higher temperature than LM
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Given the Rayleigh wave velocity $(V r$), shear wave velocity $(V s$) and the P-wave velocity $(V p$), which of the following relationships is/are CORRECT?
a.
$V r$ < $V s$ < $V p$
b.
$V s$ < $V r$ < $V p$
c.
$V s$ < $V p$ < $V r$
d.
$V s$ = $V r$ < $V p$
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Among the given layered models, labelled as P, Q, R and S, which of the following pairs is/are NOT possible to distinguish according to the principle of equivalence?
a.
P, R
b.
P, S
c.
P, Q
d.
R, S
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$G G$ 12 $G$ 13 $d$ 11 11 Given data $d$ = [ ] and the kernel $G$ = [ ], which one of the $G G G d$ 21 22 23 21 following expressions correctly represents the generalized linear inverse formula for the model, $m,$ satisfying $d$ = $Gm?$
a.
$(G T G)$ -1 $G T$
b.
$G T (GG T$) -1
c.
$(GG T$) -1 $G$
d.
$GG T G$ -1
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A P-wave of frequency 20 Hz is travelling through a non-dispersive medium with a velocity of 5 km/s. The amplitude retained at a distance of 10 km from source is _____________ % (rounded off to one decimal place). (Use quality factor, $Q$ = 80)
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A land magnetic survey was carried out along a profile length of 500 m with an inter-station spacing of 5 m over a buried ore body. The optimum width of the body that can be best resolved is __________m (answer in integer).
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If the depth of penetration of an inducing electromagnetic wave of 1 kHz frequency is 400 m, then the resistivity of the subsurface is $___________m$ (answer in integer).
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If $F$ represents the Earthβs total magnetic field corresponding to its dipole source only, then the increase in $F$ from $0$ to $60$ N magnetic latitude is __________ % (rounded off to one decimal place).
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Considering a surface point source, the horizontal resolution recoverable from the seismic data acquired using a 10 Hz seismic pulse reflected from a depth of 30 km within the crust, with a velocity of 6.5 km/s is__________km (rounded off to two decimal places).
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A vertical contact separating two resistive domains is shown in the figure below. The magnitude of the discontinuity in the apparent resistivity, when the electric field, E, is perpendicular to the strike is
a.
$(Ο$ 1 β $Ο$ 2) 2
b.
$(Ο$ 2 β $Ο$ 1) 2
c.
$(Ο$ 1 β $Ο$ 2) 1/2
d.
$(Ο$ 2 β $Ο$ 1) 1/2
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If $g FA$ and $g BA$ respectively denote the free-air and Bouguer gravity anomalies over a fully compensated mountain, then which one of the following is CORRECT in case of Airy-isostacy?
a.
$g FA$ = 0, $g BA$ > 0
b.
$g FA$ > 0, $g BA$ = 0
c.
$g FA$ > 0, $g BA$ < 0
d.
$g FA$ = 0, $g BA$ = 0
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In regions of lateral conductivity contrasts, the time-independent separation between the subsurface apparent resistivity curves of transverse electric (TE) and transverse magnetic (TM) modes relative to each other arises mainly due to
a.
impedance phase change
b.
amplitude magnification
c.
local distortion of electric field
d.
variation in the frequency of the inducing magnetic field
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$βT$ = $[βT$ 1, $βT$ 2, β¦. $βT$ 19, $βT$ 20 ], and $βT u$ = $[βT u1$, $βT u2$, β¦. $βT u19$, $βT u20$ ] denote the magnetic data observed at heights 0 km and 5 km, respectively, along a profile of length 100 km. What is the maximum attenuation at a height of 5 km? [use wave number in radian/km]. $Ο$
a.
$e$ - 2
b.
$e -Ο$
c.
$e -2Ο$
d.
$e -3Ο$
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The given figure shows the geometry of a seismic ray path inside the Earth, with the P-wave velocities of 10 km/s, 11 km/s and 12 km/s corresponding to the layers L1, L2 and L3, respectively. If the angle of incidence $()$ at L1-L2 boundary is $40,$ then what is the angle of refraction at the L2-L3 boundary? (answer in nearest integer)
a.
b.
c.
d.
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$βB z$ represents the maximum vertical magnetic anomaly along a profile due to a horizontal cylinder with susceptibility contrast (βk), and radius $(r)$ at a depth $(z)$ below the Earthβs surface. Which combination(s) of βk, $r,$ and $z$ labelled as P, Q, R and S given below, produces/produce the same $βB z$ ? (P) βk=0.02, $r$ = 100 $m,$ and $z$ = 200 $m$ (Q) βk=0.01, $r$ = 80 $m,$ and $z$ = 160 $m$ (R) βk=0.005, $r$ = 200 $m,$ and $z$ = 400 $m$ (S) βk=0.02, $r$ = 150 $m,$ and $z$ = 300 $m$
a.
P, S
b.
P, Q
c.
R, S
d.
Q, R
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If $f(t)$ = [-1, 2, 1] and $g(t)$ = [0, -1, 2] are two wavelets and $f(Ο)$ and $g(Ο)$ represent flipped versions of $f(t)$ and $g(t),$ respectively, then which of the following expressions is/are CORRECT? [* and β denote convolution and cross-correlation operations, respectively]
a.
$f(t)$ β $g(t)$ = $f(t)$ β $g(t)$
b.
$f(t)$ β $g(t)$ = $f(t)$ β $g(Ο)$
c.
$f(t)$ β $g(t)$ = $f(Ο)$ β $g(t)$
d.
$f(t)$ β $g(t)$ = $f(Ο)$ β $g(Ο)$
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The vector field $(F)$ for a region is described by $F$ = $ar n rΜ (r =ΜΈ$ 0), where $a$ is a non-zero constant and $r$ is the radial distance from the source. For what value(s) of $n, F$ becomes both solenoidal and irrotational?
a.
2
b.
-2
c.
1
d.
-1
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The maximum strain for the plane wave at $t$ = 0, having a wavelength of 16 km and unit amplitude, travelling along the X-direction, as shown in the figure, is _______(rounded off to three decimal places).
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A causal recursive filter is given by $y n$ = $x n$ - $2x n-1$ + $3y n-1$. If the input values, $x$ 0, $x$ 1 and $x$ 2 are 1.2, -0.8 and 2.3, respectively, the output, $y$ 2, of the filter is __________ (rounded off to one decimal place).
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If C1 & C2 and P1 & P2 are the pairs of current and potential electrodes in the Wenner (W) and Dipole-Dipole (DD) array configurations as shown in the figure below, then the fraction of the geometric factor for DD array that will be equal to half of that of W array is _______________ (rounded off to three decimal places). (Use n = 1 in DD array)
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A scintillometer records 300 counts per second (cps) in a radiometric survey. If the background radiation and dead-time of the instrument are 100 cps, and 250 $$ s, respectively, then the true net count rate is _______ cps (rounded off to two decimals).
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Gamma-ray (GR) log values for clean sandstone and shale are 15 API and 115 API, respectively. If GR records 35 API for shaly-sandstone, then the GR index is _____________ (rounded off to one decimal place).
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If the inclination of the remanent magnetic field of a 140 million years old crustal block at equator is $50,$ then its drift-rate is ______________cm/yr (rounded off to two decimal places). [use $1$ = 111 km]
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Consider a seismic source located at the Earthβs surface. A vertical well is located at a distance of 1 km away from the seismic source and a geophone is suspended inside the well at a depth of 800 m as shown in the figure below. The travel time of the primary reflected wave from a horizontal reflector located at a depth of 2 km is ___________s (rounded off to three decimal places).
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The figure below shows Bouguer gravity anomaly values (in mGal) at a grid interval of 1 km. The second vertical derivative at P is _________mGal/km 2 (rounded off to two decimals).
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