Exam Details
Subject | advanced pg diploma in mineral exploration | |
Paper | ||
Exam / Course | m.tech | |
Department | ||
Organization | central university | |
Position | ||
Exam Date | 2011 | |
City, State | telangana, hyderabad |
Question Paper
HaD Ticket No:
UainniCy of H)'dcrabad
ENTRANCE EXAMINAnON 2011-201 2
M.Tcch I Advanccd P.G. Diploma ia Miatnl EsploratloD
DateIDay: 06.06.2011, Monday Tim.: 2.011-4.00 PM Marks: 7S
InstructioDS Cor the CDndidates:
I. An questions cany equal marb.
2.
Write) our Hall Ticket Number on the OMR Answer Sheet given to Also write the Hall Tidet Number in the space provided OD the question paper booklet.
3.
The question paper consists of Objective Type questions of one mark CDCh. For each question. there arc four answers and the answers are to be indicated with capital letters ofalph:lbct.s viz... A.
n. C3Ild D.
4.
The question paper consistsofPart'A' andPart
5.
ncre is negaUve marking. Every wroDe Duwer arries 0.33 mark.
6.
Answers are to be marked on the OMR answer sheet foUowing the instructions provided there upon. •
7.
Hand over both the question paper booklet and the OMR answer sheet d the end of the examination.
8.
No additional sheets will be provided. Rough work can be done in the question JUper itself I SP:lCC provided at the cnd of the booklcL
9.
Non-programmable calculators are allowed.
I. Which type of field is present near a moving clectrie charge? an electrie field, only a magnetic field, only both an electrie field and a magnetic field neither an electric field nor a magnetic field
2. The energy ofa photon is inversely proportional to its wavelength frequency speed phase
i
3. A source ofwavcs and an observer arc moving relative to each other. The observer will
detect a steadily increasing lRquency if
he moves toward the source.t a cons!llnt speed
the source moves away from him at a constant speed
he .=Ierates toward the source
the source =Ierotcs from him
4.
As tho angle between two eoneunent forces dccfC3SCS, the mognitude of the force
required to produce equilibrium
decreases
increases
remains the some
None ofthe :.bove
5.
Which fonn(s) ufenergy con Ix-tronsmiUcd through. vacuum?
light, only
sound, only
both light and sound
neither light nor sound
6. Acou!'.1ic impedance is defined as
seismic velocity x density
seismic velocity density
seismic velocity I density
seismic velocity -density
7.
The particle motion in an compressional wave is
in the direction ofpropog.tion
opposite to the direction ofpropog.tion
pcipcndicular tothedi=tionofpropagation
no motion at all
8.
Which ofthe following is not a mineral?
olivine
limestone
calcite
quartz
9.
The average thickness ofthe continental crust is about
35-40 Ian
100-200 km
100D-2000 Ian
5-10 Ian
10.
In correct order from the center outward, Earth includes which layers?
core, inner manLlc, outer mantlc. crust
inner core. outer core. mantle, crust
inner core, crust, mantle, hydrosphere
core, crust, mantle, hydrosphere
Code No. W-54
II. Which planet in the solar system is nearly equal in size to Earth Mars B)Mcrcury Uranus Venus
12. Which law ofthe planetary motions is called the law ofOrbital Harmony Kepler's second Law
Newton's Law of gravitation
Kepler's third Law
Kepler's 1st Law
13. Asteroid belts arc found between these planets Earth and Mars Jupiter and Saturn Mars and Jupiter Venus and Earth
14. The shear modulus measures
the resistance to flol' ofa liquid
the resistance to change in shape
the resistance to change in volume ofa liquid
the resistance to change in volume of a solid
15. A correlation between college cntr.lnce exam grades and semester examinations was found
10 be -5.08. On the basis ofthis you would tell the university that
the entrance exam isa goodpredictor ofsuccess.
there is some problem in the correlation calculation.
the exam is a poor predictor ofsuccess.
students who do best at entrance will make the worst students.
16. If you toss a fair coin a large number of times, assuming the tosses arc which
ofthe following is true? Once the number of flips is large enough,the number of headS will always be exactly halfofthe total number oftos""s. The proportion of heads will be about 1/2 and this proportion ",ill tend to get closer to 1/2 as the number oftosscs increases. As the number of tosses increases, any long run of heads will be baJo.nccd by a corresponding run oftails so that the overall proportion ofheads is elUlctly 1/2. All ofthe above
17. What is meant by the term confidenf' when constructing a confidence interval for a
mean?
if we took repeated samples, approximately 95% of the samples would produce the same confidence interval. If we took repeated samples, approximately 95% of the confidence intervals calculated from those samples would contain the smnple mean. If we took repeated smnples, the sample mean would equal the popul.tion mean in approximately 95% ofthe samples. If we took repeated samples, approximately 95% of the confidence intervals calculated from those samples would contain the true value of the population mean.
3
18. The value ofSin30 .Cos60 Cos30.Sin 60 A)O I
19. The distance between 2 points A and B is AJ2VS
B)SV2
C)SO
None
20. The derivative of Cosx with respect to ColX A)Cotx B)Cnsx Sinx OJ Coseex
21. Which ofthe following statement(s) is true?
Matrix inversion is possible ifthe matrix is non.singuIar
A matrix is said to be non-singular ifdeterminant is zero.
Palone
Qalone
Both P and Q
Neither P Nor Q
22. The relation between Arithmetic mean Geometric mean G and Harmonic lr"aD H is given
by
B)G=AH
23. In an isothermal change. an ideal gas obeys
Boyles law
Charles law
Gay-Lussac's law
None ofthese
24. The most abundant element in the universe is
Hydrogen
Helium
C)Oxygen
Silicon
2S. The ion that cannot be precipitated by both HCI and H,S A)Pb" Sn"
4
Code No. W-54
26. The tectonic plates
are the outennost shell ofthe solid Earth
arc a rigid, solid layer about 100 kin thick
includes the crust and the uppennost mantle
all ofthe above
27. At mid-ocean ridges, two plates arc
moving towards each other.
moving away from each other.
sliding along each other.
stationary.
28. 10 a regression analysis. in!elT'rctation of r 0.5 is that the following pm of the Y
variation is associated with variation in
most
one quarter
half
very Iinle
29. Ir"c obtain a negative r (pearson coefficient ofcorrelation) this means that: individuals scoring high on one variable lend to score low on the other variable. individuals scoring high on one variable lend to score high on the other variable. there is no relationship between the two variables. the relationship is in the opposite direction to the one prcdict.e.:.
30. According to Plate Tectonics theory. most active volcanoes occur
on continents
in large Iectonie plates
along plate boundaries
randomly over continents.
31. What mineral is the hardest known substance in nature?
graphite
native gold
diamond
muscovite
32. Visible quartz and potassium feldspar grains arc the main constituents in a
granite
gabbro
basalt
rhyolite
33.IfthematricesA and D areoforder3x4and4x2respectively Utcntheorder ofthe matrix
is
A)3x3
D)3x4
C)4x3
O)3x2
34. Ify 5x then dy/dx at x is B)I C)4
35. The derivative ofsinx.cosx with respect to x is
A)2Cos2x
2Sin2x
C)Sin2x
Cos2x
36. Whieh ofthe following minerals would erystollize earl} from a cooling silicate magma? bioiite
qWlr1Z
olivine
muscovite
37. Magma generation in subduction zones arc mainly caused by
releasing ofwater and volatiles from the subducting plate pressure release in the subducting plate
temperature increase in the surroWlding mantic
all above
38. Which of the following tend to increase the explosive potential of a magma body beneath a
volcano.
High viscosity and dissolved gas
High viscosity: low dissolved gas content
Low siliea content, low viscosity
Low viscosity:'low dissolved gas content
39. Eruptions dominated by basaltic lava flows typically form what type ofvolcanoes? composite stratospheric
cinder cone
shield 40, If a pcrson observes the top of a tower of height 100 mts from a point P on the ground at an
elevationof30·,thenthedistance nfPfrom thefoot ofthetoweris
1.732
17.32
173.2
0.1732
41. If we write the equatinns: 3x-4y+5=O and in the matrix form AX=B then the
matrix BT is equal to
42. Arithmetic mean and Median of a data set are 4 and 5 respectively then the Mode of the
distribution is
A)2
8)7
C)8
II
43. What is the effect ofrise in temperature on the pH ofpure water? decreases increases no effect
either increases or decreases
44. Why do magmas rise toward Earth's surface?
Magmas are more viscous than solid rocks in the crnst and uprer mantle.
Most arc richer in silica than mo"t crustal and upper mantle rocks.
Magmas, being melts and having gases, :Ire less dense than the adjacent solid
rock. magm:lS hayc highcr content of pyroxenes lhan lhe surrounding rocks.
45.
Which ofthefollowingis NOTaprocessofphysical(mechanical)wcathering? Frost wedging unloading thermal expansinn dissolution .
46.
IfSecx Tanx 2 then the value of Sinx is 3/5 5/3 4/3
47.
Limit x 00
A)O
8)3n
C)3
D)ao
48. The value of Sin(90-x)Cos(180-x)+Tan(l8O+x)Cot(180+x) is A)O
8)1
Sin'x
Cos'x
49.1fx-aCosO and y=bSin9then locus is a circle Ellipse Parabola Hyperbola
50. Whicb ofthe following silicate minerals are most ",sistant to cbemical weathering? qlUlrtZ olivine hornblende potassium feldspar
5I. Which ofthe crystal systems has four crystallographic oxes? monoclinic trielinie hexagonal tetragonal
52.
What is the average specific gra'ity ofthe continental crust? 1.5 2.5 3.5 4.5
53.
The dominant clements ofthe crust in the order ofdecreasing abundances are AI Si, AI Si, Fe, Mg Si, AI, Fe
54.
Ifonly density increases with increasing depth within the earth, the velocity ofa P wove
should
slay the same
increase
dccrease
zero
55.
Sometimes chlorine gas is passed through water for its purification. What will be the pH
value of such a sample of", a!cr"
A)7
C»7
0)8
56.
A bright nail is placed in a beaker containing aqucous copper sulFhate solution. The nail is
taken out after 20 minutes. The deposit formed on iron nail is of
copper sulphate
iron sulphate
copper metal
copper oxide
57.
What is the mass per cent ofthe solvenl in a true solution in which the mass per cent ofthe
solute is 20?
20
60
80
0)100
Code No. W-54
58.
Name one method which is used to measure the concentration ofa solution mass number Avogadro's number mass percentage all ofthese
59.
Which boundary marks a change from 100"10 solid to 100"10 liquid? manUe ... oUler core lithosphere ... asthenosphen: crust ... manUe none ofthese
60.
Which ofthe following can trigger a tsunami? undersea earthquakes undersea landslides
the eruption of an oceanic volcano
all ofthese
61.
The dip ofthe fault plane along wrench limits is horizontal vertical inclined none
62.
IfAand B areindependentevenL.,thenwhich ofthefollowingistrue'!
• B) P(AANDB)=O A and B are mutually exclusive events. P(AORB)=O
63.
A .1andard nonnal distribution has the mean equal to 1I1e variance mcan equal 1 and variance equal 1 mcan equal 0 and variance equal I mean equal 0 and standard deviation equal 0
64.
The core ofanticlinal fold consists of older rocks younger rocks sediments metamorphic rocks
65.
Normal faults arc generated by horizontal stresses vertical stresses inclined stressed none
66.
What can be said about a set ofdata when its standard deviation is small?
the data are far apart. all ofthe data have the same value. the mcan ofthe data can never be zero. the data arc close together.
9
67. Which ofthe following processes represents a decomposition reaction?
reproduction
excretion
digestion
circulation
68. Which ofthe following statement is com:ct about univers:" indicator? It is a mixture ofHCI and NaOH It is a solution ofmethyl C1ange in alcohol It is a solution ofphenolphthalein in alcohol it is a mixture ofmany indicators
69. The basic structure ofzcolite
Si-AI-O tetrahedral
alumino silicate of(Si,AI)O. tetrahedra
quartz-tridymite-crystobollite
tridymite type with 32 oxygen atoms
70. Arranging in the ascending order ofwavelength, which onc is blue, green, red orange, green, red blue, yellow, green
orange, yellow,green
71. Which compound is a saturated hydrocarbon? Ethane Ethene cthync Ethanol
72. To kill cancer cells in the body which one ofthe following rodioactive element is used nNa
73. A liquid does not wet the surface ofa solid ifthe angle ofcontact is zero
an acute one
C)4S·
an obtuse one
74. Which ofthe following bums in Nitrogen gas? A)Cu
B)Mg
C)Zn
Fe
7S. Alkali feldspars arc essentially of NaCaAISi,O. AISiO, C)NaAISiO. NaKAISi,O.
10 .
UainniCy of H)'dcrabad
ENTRANCE EXAMINAnON 2011-201 2
M.Tcch I Advanccd P.G. Diploma ia Miatnl EsploratloD
DateIDay: 06.06.2011, Monday Tim.: 2.011-4.00 PM Marks: 7S
InstructioDS Cor the CDndidates:
I. An questions cany equal marb.
2.
Write) our Hall Ticket Number on the OMR Answer Sheet given to Also write the Hall Tidet Number in the space provided OD the question paper booklet.
3.
The question paper consists of Objective Type questions of one mark CDCh. For each question. there arc four answers and the answers are to be indicated with capital letters ofalph:lbct.s viz... A.
n. C3Ild D.
4.
The question paper consistsofPart'A' andPart
5.
ncre is negaUve marking. Every wroDe Duwer arries 0.33 mark.
6.
Answers are to be marked on the OMR answer sheet foUowing the instructions provided there upon. •
7.
Hand over both the question paper booklet and the OMR answer sheet d the end of the examination.
8.
No additional sheets will be provided. Rough work can be done in the question JUper itself I SP:lCC provided at the cnd of the booklcL
9.
Non-programmable calculators are allowed.
I. Which type of field is present near a moving clectrie charge? an electrie field, only a magnetic field, only both an electrie field and a magnetic field neither an electric field nor a magnetic field
2. The energy ofa photon is inversely proportional to its wavelength frequency speed phase
i
3. A source ofwavcs and an observer arc moving relative to each other. The observer will
detect a steadily increasing lRquency if
he moves toward the source.t a cons!llnt speed
the source moves away from him at a constant speed
he .=Ierates toward the source
the source =Ierotcs from him
4.
As tho angle between two eoneunent forces dccfC3SCS, the mognitude of the force
required to produce equilibrium
decreases
increases
remains the some
None ofthe :.bove
5.
Which fonn(s) ufenergy con Ix-tronsmiUcd through. vacuum?
light, only
sound, only
both light and sound
neither light nor sound
6. Acou!'.1ic impedance is defined as
seismic velocity x density
seismic velocity density
seismic velocity I density
seismic velocity -density
7.
The particle motion in an compressional wave is
in the direction ofpropog.tion
opposite to the direction ofpropog.tion
pcipcndicular tothedi=tionofpropagation
no motion at all
8.
Which ofthe following is not a mineral?
olivine
limestone
calcite
quartz
9.
The average thickness ofthe continental crust is about
35-40 Ian
100-200 km
100D-2000 Ian
5-10 Ian
10.
In correct order from the center outward, Earth includes which layers?
core, inner manLlc, outer mantlc. crust
inner core. outer core. mantle, crust
inner core, crust, mantle, hydrosphere
core, crust, mantle, hydrosphere
Code No. W-54
II. Which planet in the solar system is nearly equal in size to Earth Mars B)Mcrcury Uranus Venus
12. Which law ofthe planetary motions is called the law ofOrbital Harmony Kepler's second Law
Newton's Law of gravitation
Kepler's third Law
Kepler's 1st Law
13. Asteroid belts arc found between these planets Earth and Mars Jupiter and Saturn Mars and Jupiter Venus and Earth
14. The shear modulus measures
the resistance to flol' ofa liquid
the resistance to change in shape
the resistance to change in volume ofa liquid
the resistance to change in volume of a solid
15. A correlation between college cntr.lnce exam grades and semester examinations was found
10 be -5.08. On the basis ofthis you would tell the university that
the entrance exam isa goodpredictor ofsuccess.
there is some problem in the correlation calculation.
the exam is a poor predictor ofsuccess.
students who do best at entrance will make the worst students.
16. If you toss a fair coin a large number of times, assuming the tosses arc which
ofthe following is true? Once the number of flips is large enough,the number of headS will always be exactly halfofthe total number oftos""s. The proportion of heads will be about 1/2 and this proportion ",ill tend to get closer to 1/2 as the number oftosscs increases. As the number of tosses increases, any long run of heads will be baJo.nccd by a corresponding run oftails so that the overall proportion ofheads is elUlctly 1/2. All ofthe above
17. What is meant by the term confidenf' when constructing a confidence interval for a
mean?
if we took repeated samples, approximately 95% of the samples would produce the same confidence interval. If we took repeated samples, approximately 95% of the confidence intervals calculated from those samples would contain the smnple mean. If we took repeated smnples, the sample mean would equal the popul.tion mean in approximately 95% ofthe samples. If we took repeated samples, approximately 95% of the confidence intervals calculated from those samples would contain the true value of the population mean.
3
18. The value ofSin30 .Cos60 Cos30.Sin 60 A)O I
19. The distance between 2 points A and B is AJ2VS
B)SV2
C)SO
None
20. The derivative of Cosx with respect to ColX A)Cotx B)Cnsx Sinx OJ Coseex
21. Which ofthe following statement(s) is true?
Matrix inversion is possible ifthe matrix is non.singuIar
A matrix is said to be non-singular ifdeterminant is zero.
Palone
Qalone
Both P and Q
Neither P Nor Q
22. The relation between Arithmetic mean Geometric mean G and Harmonic lr"aD H is given
by
B)G=AH
23. In an isothermal change. an ideal gas obeys
Boyles law
Charles law
Gay-Lussac's law
None ofthese
24. The most abundant element in the universe is
Hydrogen
Helium
C)Oxygen
Silicon
2S. The ion that cannot be precipitated by both HCI and H,S A)Pb" Sn"
4
Code No. W-54
26. The tectonic plates
are the outennost shell ofthe solid Earth
arc a rigid, solid layer about 100 kin thick
includes the crust and the uppennost mantle
all ofthe above
27. At mid-ocean ridges, two plates arc
moving towards each other.
moving away from each other.
sliding along each other.
stationary.
28. 10 a regression analysis. in!elT'rctation of r 0.5 is that the following pm of the Y
variation is associated with variation in
most
one quarter
half
very Iinle
29. Ir"c obtain a negative r (pearson coefficient ofcorrelation) this means that: individuals scoring high on one variable lend to score low on the other variable. individuals scoring high on one variable lend to score high on the other variable. there is no relationship between the two variables. the relationship is in the opposite direction to the one prcdict.e.:.
30. According to Plate Tectonics theory. most active volcanoes occur
on continents
in large Iectonie plates
along plate boundaries
randomly over continents.
31. What mineral is the hardest known substance in nature?
graphite
native gold
diamond
muscovite
32. Visible quartz and potassium feldspar grains arc the main constituents in a
granite
gabbro
basalt
rhyolite
33.IfthematricesA and D areoforder3x4and4x2respectively Utcntheorder ofthe matrix
is
A)3x3
D)3x4
C)4x3
O)3x2
34. Ify 5x then dy/dx at x is B)I C)4
35. The derivative ofsinx.cosx with respect to x is
A)2Cos2x
2Sin2x
C)Sin2x
Cos2x
36. Whieh ofthe following minerals would erystollize earl} from a cooling silicate magma? bioiite
qWlr1Z
olivine
muscovite
37. Magma generation in subduction zones arc mainly caused by
releasing ofwater and volatiles from the subducting plate pressure release in the subducting plate
temperature increase in the surroWlding mantic
all above
38. Which of the following tend to increase the explosive potential of a magma body beneath a
volcano.
High viscosity and dissolved gas
High viscosity: low dissolved gas content
Low siliea content, low viscosity
Low viscosity:'low dissolved gas content
39. Eruptions dominated by basaltic lava flows typically form what type ofvolcanoes? composite stratospheric
cinder cone
shield 40, If a pcrson observes the top of a tower of height 100 mts from a point P on the ground at an
elevationof30·,thenthedistance nfPfrom thefoot ofthetoweris
1.732
17.32
173.2
0.1732
41. If we write the equatinns: 3x-4y+5=O and in the matrix form AX=B then the
matrix BT is equal to
42. Arithmetic mean and Median of a data set are 4 and 5 respectively then the Mode of the
distribution is
A)2
8)7
C)8
II
43. What is the effect ofrise in temperature on the pH ofpure water? decreases increases no effect
either increases or decreases
44. Why do magmas rise toward Earth's surface?
Magmas are more viscous than solid rocks in the crnst and uprer mantle.
Most arc richer in silica than mo"t crustal and upper mantle rocks.
Magmas, being melts and having gases, :Ire less dense than the adjacent solid
rock. magm:lS hayc highcr content of pyroxenes lhan lhe surrounding rocks.
45.
Which ofthefollowingis NOTaprocessofphysical(mechanical)wcathering? Frost wedging unloading thermal expansinn dissolution .
46.
IfSecx Tanx 2 then the value of Sinx is 3/5 5/3 4/3
47.
Limit x 00
A)O
8)3n
C)3
D)ao
48. The value of Sin(90-x)Cos(180-x)+Tan(l8O+x)Cot(180+x) is A)O
8)1
Sin'x
Cos'x
49.1fx-aCosO and y=bSin9then locus is a circle Ellipse Parabola Hyperbola
50. Whicb ofthe following silicate minerals are most ",sistant to cbemical weathering? qlUlrtZ olivine hornblende potassium feldspar
5I. Which ofthe crystal systems has four crystallographic oxes? monoclinic trielinie hexagonal tetragonal
52.
What is the average specific gra'ity ofthe continental crust? 1.5 2.5 3.5 4.5
53.
The dominant clements ofthe crust in the order ofdecreasing abundances are AI Si, AI Si, Fe, Mg Si, AI, Fe
54.
Ifonly density increases with increasing depth within the earth, the velocity ofa P wove
should
slay the same
increase
dccrease
zero
55.
Sometimes chlorine gas is passed through water for its purification. What will be the pH
value of such a sample of", a!cr"
A)7
C»7
0)8
56.
A bright nail is placed in a beaker containing aqucous copper sulFhate solution. The nail is
taken out after 20 minutes. The deposit formed on iron nail is of
copper sulphate
iron sulphate
copper metal
copper oxide
57.
What is the mass per cent ofthe solvenl in a true solution in which the mass per cent ofthe
solute is 20?
20
60
80
0)100
Code No. W-54
58.
Name one method which is used to measure the concentration ofa solution mass number Avogadro's number mass percentage all ofthese
59.
Which boundary marks a change from 100"10 solid to 100"10 liquid? manUe ... oUler core lithosphere ... asthenosphen: crust ... manUe none ofthese
60.
Which ofthe following can trigger a tsunami? undersea earthquakes undersea landslides
the eruption of an oceanic volcano
all ofthese
61.
The dip ofthe fault plane along wrench limits is horizontal vertical inclined none
62.
IfAand B areindependentevenL.,thenwhich ofthefollowingistrue'!
• B) P(AANDB)=O A and B are mutually exclusive events. P(AORB)=O
63.
A .1andard nonnal distribution has the mean equal to 1I1e variance mcan equal 1 and variance equal 1 mcan equal 0 and variance equal I mean equal 0 and standard deviation equal 0
64.
The core ofanticlinal fold consists of older rocks younger rocks sediments metamorphic rocks
65.
Normal faults arc generated by horizontal stresses vertical stresses inclined stressed none
66.
What can be said about a set ofdata when its standard deviation is small?
the data are far apart. all ofthe data have the same value. the mcan ofthe data can never be zero. the data arc close together.
9
67. Which ofthe following processes represents a decomposition reaction?
reproduction
excretion
digestion
circulation
68. Which ofthe following statement is com:ct about univers:" indicator? It is a mixture ofHCI and NaOH It is a solution ofmethyl C1ange in alcohol It is a solution ofphenolphthalein in alcohol it is a mixture ofmany indicators
69. The basic structure ofzcolite
Si-AI-O tetrahedral
alumino silicate of(Si,AI)O. tetrahedra
quartz-tridymite-crystobollite
tridymite type with 32 oxygen atoms
70. Arranging in the ascending order ofwavelength, which onc is blue, green, red orange, green, red blue, yellow, green
orange, yellow,green
71. Which compound is a saturated hydrocarbon? Ethane Ethene cthync Ethanol
72. To kill cancer cells in the body which one ofthe following rodioactive element is used nNa
73. A liquid does not wet the surface ofa solid ifthe angle ofcontact is zero
an acute one
C)4S·
an obtuse one
74. Which ofthe following bums in Nitrogen gas? A)Cu
B)Mg
C)Zn
Fe
7S. Alkali feldspars arc essentially of NaCaAISi,O. AISiO, C)NaAISiO. NaKAISi,O.
10 .
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Subjects
- advanced pg diploma in mineral exploration
- bioinformatics
- computational techniques
- materials engineering
- nano science & technology