Suresh said, “I did it yesterday.” 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 “step” 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 – I am younger than S. Q – I am neither the youngest nor the oldest. R – 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 $∠O$ 1 $O$ 3 $O$ 2 is 90°, $r$ 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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A mineral has X = c, Y = b, Z = a, where X, Y, Z denote optical directions and a, b, c denote crystallographic axes. If X is the fast vibration direction and the mineral is optically positive, a {001} section will show which one of the following interference figures?
a.
Obtuse bisectrix
b.
Acute bisectrix
c.
Centered uniaxial
d.
Off-centered uniaxial
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A sandstone bed has an orientation of $360/45W.$ If the true thickness of the bed is 50 m, the width of the outcrop exposed on a flat surface is _________ m (rounded off to one decimal place).
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For a chemical system with 5 phases at the invariant point, the number of possible univariant reactions in pressure-temperature space is ____ (answer in integer).
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Two tectonic plates, P and Q, move in opposite directions along a transform fault boundary. If the plate velocity of P is 8 cm/year and of Q is 6 cm/year with respect to a fixed reference frame, the relative velocity between P and Q is _______ cm/year (answer in integer).
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If the atomic mass units of 85 Rb and 87 Rb are 84.912 and 86.901, respectively, then the abundance of 87 Rb is ___________ % (rounded off to nearest integer). [Use: Average atomic mass of Rb = 85.467 amu]
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A mineral under crossed nicols displays second order greenish-yellow $($ M = 740 nm) interference colour. On introduction of gypsum plate $($ A = 550 nm) along the length of the mineral orientation, first order grey interference colour is displayed. The net retardation is _________ nm (answer in integer).
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Which one of the following mineral reactions will result in the formation of a diagnostic granulite facies assemblage during regional metamorphism of a pelite?
a.
muscovite + staurolite + chlorite = biotite + kyanite + quartz + H 2 O
The given table shows modal volume percentage of quartz, alkali feldspar and plagioclase in coarse-grained rocks, X and Y. Which of the following rock names of X and Y are CORRECT according to the IUGS classification?
Mineral
Quartz
15
25
Plagioclase
20
60
65
15
a.
X – Alkali feldspar granite; Y – Tonalite
b.
X – Granodiorite; Y – Granite
c.
X – Alkali feldspar granite; Y – Quartz monzonite
d.
X – Quartz syenite; Y – Granodiorite
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The ternary diagram given below shows phase relations for the Anorthite-Diopside- Forsterite system at 1 bar pressure. Broken lines represent isotherms with temperature in $C.$ If ‘P’ is the initial melt composition, which one of the following is the CORRECT sequence of crystallization assuming equilibrium between crystal and melt?
a.
b.
c.
d.
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Accumulation of which one of the following minerals can explain positive Eu and positive Sr anomalies in the primitive mantle-normalized multielement pattern of an igneous rock?
a.
Orthoclase
b.
Apatite
c.
Orthopyroxene
d.
Olivine
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A hydrothermal solution contains dissolved ions of Ca 2+ and SO 2- 4. If the Saturation Index (SI) of the solution is negative, which of the following statements is/are CORRECT if gypsum is added to the solution?
a.
Gypsum will precipitate from the solution
b.
Gypsum will dissolve in the solution
c.
The concentration of Ca 2+ will increase and SO 2- 4 will decrease in the solution
d.
The concentrations of both Ca 2+ and SO 2- 4 will increase in the solution
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The given schematic diagram shows different stages of development of S 2 foliation after the formation of S 1 foliation. Which of the following statements CORRECTLY interpret(s) the relationships of porphyroblasts W, X, Y and Z with the matrix?
a.
‘W’ formed at an early stage of S foliation
2
b.
‘W’ formed after the growth of porphyroblast ‘Y’
c.
‘X’ and ‘Z’ are post-tectonic to S foliation
2
d.
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The figure below shows an infinite-slope model. If $τ$ and SS denote the driving shear stress and the resisting shear strength, respectively, then $τ$ along the failure plane is ____________ $\times$ 10 3 kg/ms 2 (round off to two decimal places). [Use: d = 2 m; $$ soil = 2.0 g/cm 3; g = 9.8 m/s 2 ]
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An oblique-slip normal fault dipping $60E$ shows a net slip of 100 m. If the net slip vector has a pitch of $30,$ then the heave of the fault is ________ m (answer in integer).
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A mafic magma with ‘Sr’ concentration of 400 ppm has undergone 60% fractional crystallization. If ‘Sr’ is incompatible in the mineral assemblage that crystallizes from the magma with a bulk distribution coefficient of 0.2, the concentration of ‘Sr’ in the residual liquid is _____________ ppm (rounded off to nearest integer).
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The Fe-Mg exchange reaction between olivine and spinel is the following:
Mg 2 SiO 4 + 2FeAl 2 O 4 ↔ Fe 2 SiO 4 + 2MgAl 2 O 4
(Forsterite) (Fe-spinel) (Fayalite) (Mg-spinel) Assuming ideal solid solutions, the temperature of equilibration between olivine and spinel using the following data is __________ $C$ (round off to nearest integer). [Assume that ∆H r0 and ∆S r0 are independent of P and T, and K d is independent of P]
2 Sp ∆H r0 (kJ ⁄ mol) ∆S r0 (J ⁄ mol. K)
-10.91
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K d = [ Mg ] R (J ⁄ mol. K)
Ol (X)(X)
Fe
Sp Ol (X) (X)
Mg Fe -3.90 3.024 8.314 The bore hole distribution of a massive sulphide deposit represented in the form of equilateral triangular pattern is given below. If the average thickness of the ore body is 30 m, the tonnage in the shaded area is ________ million tons (rounded off to two decimal places). [Use: Bulk density of ore body = 4400 kg/m 3 ]
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An aquifer has a surface area of 100 km 2. With no recharge, assume that pumping out 2 $\times10$ 7 m 3 of ground water resulted in a drop of the water table by 6 m. If the aquifer has a specific retention of 15 %, then the porosity of the aquifer is _____ % (rounded off to one decimal place).
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