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GATE Geology and Geophysics Set 2

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1. Calculate the degree(s) of freedom of the assemblage orthopyroxene + clinopyroxene + plagioclase + hornblende + quartz + fluid in the chemical system CaO“FeO“MgO“Al2O3“SiO2“H2O with pressure and temperature as physical variables.




2. Ca-montmorillonite is formed by the chemical weathering of




3. In which of the following crystal systems, the characteristic symmetry elements "a two-fold axis of rotation and at least two planes of symmetry are possible?




4. Determine the correctness or otherwise of the following Assertion [a] and Reason [r]. Assertion: Biaxial minerals can be pleochroic in three shades. Reason: Biaxial minerals have three refractive indices.




5. The correct sequence of metamorphic facies with increasing depth in a subduction zone is




6. Which one of the following basins is producing petroleum from the coal-rich reservoir rocks?




7. Which one of the following basins is producing petroleum from the coal-rich reservoir rocks?




8. A major thrust in the Himalayas has resulted in intense shearing of a zone about 0.5 km wide on either side of the thrust leading to landslides. Which GIS function can be used to display the shear zone?




9. Vertical exaggeration commonly occurs during stereo-viewing of aerial photographs. Where does it occur?




10. Herringbone structure is generally formed in which of the following environments?




11. In a typical coal mine area affected by acid mine drainage, which one of the following acids will be dominant?




12. Match the items in Group I with those in Group II. Group I Group II P. Theca 1. Trilobite Q. Midrib 2. Brachiopod R. Deltidium 3. Glossopteris S. Pygidium 4. Graptolite 5. Diatoms




13. Which of the following statements is true?




14. Match the items in Group I with those in Group II. Group I Group II P. Churching 1. Concrete gravity dam Q. Curtain grouting 2. Tunnelling R. Piping 3. Cement S. Pozzolan 4. Earth dam




15. Match the items in Group I with those in Group II. Group I Group II P. Churching 1. Concrete gravity dam Q. Curtain grouting 2. Tunnelling R. Piping 3. Cement S. Pozzolan 4. Earth dam




16. A horizontally bedded sandstone outcrop exhibits planar cross-beds at a number of places. The dip directions of the foresets of cross-beds at these locations are: N350°, N17°, N355°, N355°, N15°, N360°, N350°, N13°, N350°, N355°. Find the mean palaeocurrent direction.




17. Copper ore deposit with significant content of molybdenum occurs in




18. An example of the above type of copper deposit is




19. Microfossils are widely used in palaeoceanographic studies. Which of the following microfossil groups is generally found in deep sea below the Carbonate Compensation Depth?




20. Microfossils are widely used in palaeoceanographic studies. What is the test composition of the microfossil group identified above?




21. Which one of the following options is the closest in meaning to the word given below? Pacify




22. Choose the most appropriate pair of words from the options given below to complete the following sentence: The high level of ___ of the questions in the test was ___ by an increase in the period of time allotted for answering them.




23. Choose the grammatically CORRECT sentence:




24. Which one of the parts (A, B, C, D) in the sentence contains an ERROR? No sooner had the doctor seen the results of the blood test, than he suggested the patient to see the specialist.




25. Ten teams participate in a tournament. Every team plays each of the other teams twice. The total number of matches to be played is




26. A value of x that satisfies the equation log x + log (x “ 7) = log (x + 11) + log 2 is




27. Which one of the parts (A, B, C, D) in the sentence contains an ERROR? No sooner had the doctor seen the results of the blood test, than he suggested the patient to see the specialist.




28. Ten teams participate in a tournament. Every team plays each of the other teams twice. The total number of matches to be played is




29. A value of x that satisfies the equation log x + log (x “ 7) = log (x + 11) + log 2 is




30. Let f(x) = x “ [x], where x ≥ 0 and [x] is the greatest integer not larger than x. Then f(x) is a




31. Ravi is taller than Arun but shorter than Iqbal. Sam is shorter than Ravi. Mohan is shorter than Arun. Balu is taller than Mohan and Sam. The tallest person can be




32. A smuggler has 10 capsules in which five are filled with narcotic drugs and the rest contain the original medicine. All the 10 capsules are mixed in a single box, from which the customs officials picked two capsules at random and tested for the presence of narcotic drugs. The probability that the smuggler will be caught is




33. The documents expose the cynicism of the government officials “ and yet as the media website reflects, not a single newspaper has reported on their existence. Which one of the following inferences may be drawn with the greatest accuracy from the above passage?




34. The documents expose the cynicism of the government officials “ and yet as the media website reflects, not a single newspaper has reported on their existence. Which one of the following inferences may be drawn with the greatest accuracy from the above passage?




35. It takes approximately _________ minutes for sunlight to reach the Earth.




36. In a remotely sensed data of a planet, the presence of hydrous species can be inferred using _________region of the electromagnetic spectrum?




37. Amongst the following, which one will have the highest P-wave velocity?




38. Assuming the Earth to be a perfect sphere, its equatorial velocity is approximately __________ km/hr




39. Both strength and plasticity of a rock increase with the




40. Amongst the following options, the acceptable value of the Poisson's ratio of a rock is




41. The acceleration due to gravity, 'g' is maximum at




42. The most abundant mineral in the Earth's crust is




43. Acoustic impedance is the _____________ of density and velocity.




44. Choose the diamagnetic mineral from the following.




45. Two bodies made up of same material with different dimensions have




46. The type of wave that arrives first at a station from an earthquake hypocenter is




47. Match the following items of Group I with those of Group II. Group I Group II P) Electrical Method 1) Density Q) Magnetic Method 2) Velocity R) Gravity Method 3) Resistivity S) Seismic Method 4) Susceptibility 5) Dielectric Permittivity A.




48. If a radioactive isotope has a decay constant of 1.55 * 10-10 year-1, its half-life (in years) would be




49. Which of the following physical properties of rocks has the widest range of variation?




50. If two nodes are observed at a frequency of 1800 rpm during whirling of a simply supported long slender rotating shaft, the first critical speed of the shaft in rpm is




51. A planar closed kinematic chain is formed with rigid links PQ = 2.0 m, QR = 3.0 m, RS = 2.5 m and SP = 2.7 m with all revolute joints. The link to be fixed to obtain a double rocker (rockerrocker) mechanism is




52. Let X be a normal random variable with mean 1 and variance 4. The probability P{X < 0} is




53. Choose the CORRECT set of functions, which are linearly dependent.




54. he function f (t ) satisfies the differential equation d2f/dt2 + f = 0 and the auxiliary conditions, f(0) = 0, df/dt(0) = 4. The Laplace transform of f (t) is given by




55. Specific enthalpy and velocity of steam at inlet and exit of a steam turbine, running under steady state, are as given below: Specific enthalpy (kJ/kg) Velocity (m/s) Inlet steam condition 3250 180 Exit steam condition 2360 5 The rate of heat loss from the turbine per kg of steam flow rate is 5 kW. Neglecting changes in potential energy of steam, the power developed in kW by the steam turbine per kg of steam flow rate, is




56. Water is coming out from a tap and falls vertically downwards. At the tap opening, the stream diameter is 20 mm with uniform velocity of 2 m/s. Acceleration due to gravity is 9.81 m/s2. Assuming steady, inviscid flow, constant atmospheric pressure everywhere and neglecting curvature and surface tension effects, the diameter in mm of the stream 0.5 m below the tap is approximately




57. A steel ball of diameter 60 mm is initially in thermal equilibrium at 1030°C in a furnace. It is suddenly removed from the furnace and cooled in ambient air at 30°C, with convective heat transfer coefficient h = 20 W/m2K. The thermo-physical properties of steel are: density ρ = 7800 kg/m3, conductivity k = 40 W/mK and specific heat c = 600 J/kgK. The time required in seconds to cool the steel ball in air from 1030°C to 430°C is




58. A flywheel connected to a punching machine has to supply energy of 400 Nm while running at a mean angular speed of 20 rad/s. If the total fluctuation of speed is not to exceed ± 2%, the mass moment of inertia of the flywheel in kg-m2 is




59. Two cutting tools are being compared for a machining operation. The tool life equations are: Carbide tool: VT1.6 = 3000 HSS tool: VT0.6 = 200 where V is the cutting speed in m/min and T is the tool life in min. The carbide tool will provide higher tool life if the cutting speed in m/min exceeds




60. In a CAD package, mirror image of a 2D point P(5,10) is to be obtained about a line which passes through the origin and makes an angle of 45° counterclockwise with the X-axis. The coordinates of the transformed point will be




61. A linear programming problem is shown below. Maximize 3x + 7y Subject to 3x + 7y ≤ 10 4x + 6y ≤ 8 x, y ≥ 0 It has




62. During the electrochemical machining (ECM) of iron (atomic weight = 56, valency = 2) at current of 1000 A with 90% current efficiency, the material removal rate was observed to be 0.26 gm/s. If Titanium (atomic weight = 48, valency = 3) is machined by the ECM process at the current of 2000 A with 90% current efficiency, the expected material removal rate in gm/s will be




63. Sedimentary structures are useful for determining the younging direction of a bed. Which sedimentary process is responsible for the generation of the structure identified above?




64. A number is as much greater than 75 as it is smaller than 117. The number is:




65. The professor ordered to the students to go out of the class. I II III IV Which of the above underlined parts of the sentence is grammatically incorrect?




66. Which of the following options is the closest in meaning to the word given below: Primeval




67. Friendship, no matter how _________it is, has its limitations.




68. Select the pair that best expresses a relationship similar to that expressed in the pair: Medicine: Health




69. X and Y are two positive real numbers such that 2X + Y ≤ 6 and X + 2Y ≤ 8. For which of the following values of (X, Y) the function f(X, Y) = 3X + 6Y will give maximum value?




70. If |4X - 7|= 5 then the values of 2|X| - |-X| is :




71. Abhishek is elder to Savar. Savar is younger to Anshul. Abhishek is elder to AnshulB. Anshul is elder to AbhishekC. Abhishek and Anshul are of the same ageD. No conclusion follows