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GATE 2016 : Engineering Sciences

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GATE 2016 General Aptitude GA Set-8 Q. 1 Q. 5 carry one mark each. Q.1 The chairman requested the aggrieved shareholders to _________________ him. (A) bare with Q.2 (C) bear with (D) bare Identify the correct spelling out of the given options: (A) Managable Q.3 (B) bore with (B) Manageable (C) Mangaeble (D) Managible (C) 43 (D) 53 Pick the odd one out in the following: 13, 23, 33, 43, 53 (A) 23 Q.4 (B) 33 R2D2 is a robot. R2D2 can repair aeroplanes. No other robot can repair aeroplanes. Which of the following can be logically inferred from the above statements? (A) R2D2 is a robot which can only repair aeroplanes. (B) R2D2 is the only robot which can repair aeroplanes. (C) R2D2 is a robot which can repair only aeroplanes. (D) Only R2D2 is a robot. Q.5 If |9y 6| =3, then y2 4y/3 is (A) 0 (B) +1/3 . (C) 1/3 (D) undefined 1/3 GATE 2016 General Aptitude GA Set-8 Q. 6 Q. 10 carry two marks each. Q.6 The following graph represents the installed capacity for cement production (in tonnes) and the actual production (in tonnes) of nine cement plants of a cement company. Capacity utilization of a plant is defined as ratio of actual production of cement to installed capacity. A plant with installed capacity of at least 200 tonnes is called a large plant and a plant with lesser capacity is called a small plant. The difference between total production of large plants and small plants, in tonnes is ____. Q.7 A poll of students appearing for masters in engineering indicated that 60 % of the students believed that mechanical engineering is a profession unsuitable for women. A research study on women with masters or higher degrees in mechanical engineering found that 99 % of such women were successful in their professions. Which of the following can be logically inferred from the above paragraph? (A) Many students have misconceptions regarding various engineering disciplines. (B) Men with advanced degrees in mechanical engineering believe women are well suited to be mechanical engineers. (C) Mechanical engineering is a profession well suited for women with masters or higher degrees in mechanical engineering. (D) The number of women pursuing higher degrees in mechanical engineering is small. 2/3 GATE 2016 Q.8 General Aptitude GA Set-8 Sourya committee had proposed the establishment of Sourya Institutes of Technology (SITs) in line with Indian Institutes of Technology (IITs) to cater to the technological and industrial needs of a developing country. Which of the following can be logically inferred from the above sentence? Based on the proposal, (i) In the initial years, SIT students will get degrees from IIT. (ii) SITs will have a distinct national objective. (iii) SIT like institutions can only be established in consultation with IIT. (iv) SITs will serve technological needs of a developing country. (A) (iii) and (iv) only. (C) (ii) and (iv) only. Q.9 (B) (i) and (iv) only. (D) (ii) and (iii) only. Shaquille O Neal is a 60% career free throw shooter, meaning that he successfully makes 60 free throws out of 100 attempts on average. What is the probability that he will successfully make exactly 6 free throws in 10 attempts? (A) 0.2508 Q.10 (B) 0.2816 (C) 0.2934 (D) 0.6000 The numeral in the units position of 211870 + 146127 3424 is _____. END OF THE QUESTION PAPER 3/3 GATE 2016 ENGINEERING MATHEMATICS (COMPULSORY) XE-A A : ENGINEERING MATHEMATICS (COMPULSORY) Q. 1 Q. 7 carry one mark each. Q.1 A company records heights of all employees. Let X and Y denote the errors in the average height of male and female employees respectively. Assume that ~ (0, 4) and ~ (0, 9) and they are independent. Then the distribution of = ( + )/2 is (A) Q.2 (0, 6.5) (B) (0, 3.25) (0, 2) (C) The volume of the solid obtained by revolving the curve (B) 2 (A) (C) 2 (0, 1) (D) = ,0 1 around -axis is (D) 2 Q.3 Let ( ) be the solution of the initial value problem lim ( ). Q.4 5 Which of the following is a quasi-linear partial differential equation? 2 (A) 2 2 + + 2 = ; (0) = 0. Find the value of =0 2 + (B) =0 2 2 =0 (C) 4 3 =0 (D) Q.5 Let ( ) and ( ) be the polynomials of degree 5, generated by Lagrange and Newton interpolation methods respectively, both passing through given six distinct points on the -plane. Which of the following is correct? (A) ( ) (B) ( ) ( ) is a polynomial of degree 1 (C) ( ) ( ) is a polynomial of degree 2 (D) ( ) XE-A ( ) ( ) is a polynomial of degree 3 1/2 GATE 2016 Q.6 ENGINEERING MATHEMATICS (COMPULSORY) XE-A (A) Q.7 =0 3 ( ) = 1/( The Laurent series of 3 4 =0 (B) 1 = 0 in the region | | > 1 is =0 (C) +4 The value of the surface integral ) with center at (D) F n dS over the sphere 1 =0 given by 2 + 2 + 2 = 1, , and n denotes the outward unit normal, is -zk where F = 4x i (B) 2 (A) (C) 3 (D) 4 Q. 8 Q. 11 carry two marks each. Q.8 A diagnostic test for a certain disease is 90% accurate. That is, the probability of a person having (respectively, not having) the disease tested positive (respectively, negative) is 0.9. Fifty percent of the population has the disease. What is the probability that a randomly chosen person has the disease given that the person tested negative? Q.9 Let = 1 1 . Which of the following is correct? 0 1 (A) Rank of is 1 and is not diagonalizable (B) Rank of is 2 and is diagonalizable (C) 1 is the only eigenvalue and is not diagonalizable (D) 1 is the only eigenvalue and is diagonalizable Q.10 Let ( ) = 2 maximum. Q.11 Calculate 3 2 3 + 69, 5 F dr F dr , where C1 5. Find the point at which 1: ( )=( , 2) and 2: ( )= , attains the global , varying from 0 to C2 1 and F = xy j . END OF THE QUESTION PAPER XE-A 2/2 GATE 2016 Fluid Mechanics-XE-B B : FLUID MECHANICS Q. 1 Q. 9 carry one mark each. Q.1 In the parallel-plate configuration shown, steady-flow of an incompressible Newtonian fluid is established by moving the top plate with a constant speed, U0 = 1m/s. If the force required on the top plate to support this motion is 0.5 N per unit area (in m2) of the plate then the viscosity of the fluid between the plates is __________ N-s/m2 Q.2 For a newly designed vehicle by some students, volume of fuel consumed per unit distance travelled (qf in m3/m) depends upon the viscosity ( ) and density ( ) of the fuel and, speed (U) and size (L) of the vehicle as where C is a constant. The dimensions of the constant C are (A) M0L0T0 (B) M2L-1T-1 (C) M2L-5T-1 (D) M-2L1T1 Q.3 A semi-circular gate of radius 1m is placed at the bottom of a water reservoir as shown in figure below. The hydrostatic force per unit width of the cylindrical gate in y-direction is _______ kN. The gravitational acceleration, g = 9.8 m/s2 and density of water = 1000 kg/m3. Q.4 Velocity vector in m/s for a 2-D flow is given in Cartesian coordinate as Symbols bear usual meaning. At a point in the flow field, the - and -components of the acceleration vector are given as m/s2 and -0.5 m/s2, respectively. The velocity magnitude at that point is ________ m/s. XE-B 1/8 GATE 2016 Fluid Mechanics-XE-B Q.5 If is velocity potential and is stream function for a 2-D, steady, incompressible and irrotational flow, which one of the followings is incorrect? (A) + =0 (C) Q.6 (B) (D) + =0 The flow field shown over a bluff body has considerably curved streamlines. A student measures pressures at points A, B, C, and D and denotes them as PA, PB, PC, and PD respectively. State which one of the following statements is true. The arrow indicates the freestream flow direction. (A) PA = PB and PC > PD (B) PA > PB and PC > PD (C) PA = PB and PC < PD (D) PA > PB and PC < PD Q.7 A 2-D incompressible flow is defined by its velocity components in m/s as . If the value of the constant point Q.8 is equal to 0.1 m2/s, the numerical value of vorticity at the m is ________ s-1. Two flow configurations are shown below for flow of incompressible, viscous flow. The inlet velocity for the diverging nozzle (Fig (i)) and free-stream velocity for flow past the bluff body (Fig(ii)) is constant. Points A and B are separation points and flow is laminar. The relation regarding velocity gradients at point A and B is (y is the direction normal to the surface at the point of separation) (A) XE-B m and and (B) (C) (D) ) 2/8 GATE 2016 Fluid Mechanics-XE-B Q.9 Consider a fully developed, steady, incompressible, 2-D, viscous channel flow with uniform suction and blowing velocity , as shown in the figure given below. The centerline velocity of the channel is 10 m/s along the x-direction. If the value of at both the walls is 1 m/s, the value of the ycomponent of velocity inside the flow field is __________ m/s. Q. 10 Q. 22 carry two marks each. Q.10 Exhaust from a kitchen goes into the atmosphere through a tapered chimney as shown. The area of cross-section of chimney at location-1 is twice of that at location-2. The flow can be assumed to be inviscid with constant exhaust density of 1 kg/m3 and acceleration due to gravity, g = 9.8 m/s2. If the steady, uniform exhaust velocity at location-1 is U = 1m/s, the pressure drop across the chimney is ________ Pa. Q.11 A jet of diameter 20 mm and velocity 6 m/s coming out of a water-tank standing on a frictionless cart hits a vane and gets deflected at an angle 45o as shown in the figure below. The density of water is 1000 kg/m3. Neglect all minor and viscous losses. If the cart remains stationary, the magnitude of tension in the supporting string connected to the wall is ________ N. XE-B 3/8 GATE 2016 Fluid Mechanics-XE-B Q.12 A block is floating at the oil-water interface as shown. The density of oil is two-thirds of that of water. Given that the density of the block is 800 kg/m3 and that of water is 1000 kg/m3, the fraction of the total height of block in oil is ________. Q.13 A horizontal pipe is feeding water into a reservoir from the top with a time-dependent volumetric where t is time in hours. The area of the base of the reservoir is flow-rate, Q (m3/h)= 1+0.1 m2. Assuming that initially the reservoir was empty, the height of the water level in the reservoir after 60 minutes is __________ m. Q.14 Velocity field of a 2-D steady flow is provided as streamlines of this flow is (A) Q.15 . The equation of the (B) (C) = (D) Velocity potential and stream function in polar coordinates ( r, ) for a potential flow over a cylinder with radius is given as and , respectively. denotes uniform freestream velocity, and is measured counter clockwise as shown in Here, the figure. How does the velocity magnitude, , over the surface of the cylinder will vary? (A) (C) Q.16 Consider a laminar flow over a flat plate of length = 1m. The boundary layer thickness at the end for water, and for air for the same freestream velocity. If the kinematic of the plate is viscosities of water and air are 1 and 1 , respectively, the numerical value of the ratio, XE-B (B) (D) is _________. 4/8 GATE 2016 Fluid Mechanics-XE-B Q.17 Prototype of a dam spillway ( a structure used for controlled release of water from the dam) has characteristic length of 20m and characteristic velocity of 2 m/s. A small model is constructed by keeping Froude number same for dynamic similarity between the prototype and the model. What is the minimum length-scale ratio between prototype and the model such that the minimum Reynolds' number for the model is 100? The density of water is 1000 kg/m3 and viscosity is 10-3 Pa-s. (A) 1.8 10-4 (B) 1 10-4 (C) 1.8 10-3 (D) 9.1 10-4 Q.18 An orifice meter, having orifice diameter of d is placed in a water pipeline having flow . The ratio of orifice diameter to pipe diameter is 0.6. The contraction rate, coefficient is also 0.6. The density of water is 1000 kg/m3. If the pressure drop across the orifice plate is 43.5kPa, the discharge co-efficient of the orifice meter at this flow Reynolds number is _________. Q.19 Consider the following figures shown below. The objects are marked as A1, A2, B1, B2 and C1, C2 and the flow directions over these objects are shown by the respective arrow placed to the left of the object. Freestream velocities are same for all the cases. Amongst these objects, A1, A2, B1 and C1 are having smooth surfaces while B2 and C2 are having rough surfaces. Reynolds number is such that flow over rough surfaces become turbulent and flow over smooth surfaces can be considered laminar. All the airfoils can be considered as thin slender airfoil. Among the statements (i) to (vi) made about the drag of these objects which is/are correct? (i) Drag of object A1 is less than drag of object A2. (ii) Drag of Object A1 and A2 are same. (iii) Drag of Object B1 is more than drag of object B2. (iv) Drag of object B2 is more than drag of object B1. (v) Drag of Object C1 is more than drag of object C2. (vi) Drag of object C2 is more than drag of object C1. (A) (i),(iii) & (vi) Q.20 (B) (ii),(iii) & (vi) (C) (i),(iii) & (v) (D) (i),(iv) & (vi) Consider 2-D, steady, incompressible, fully developed flow of viscous, Newtonian fluid through two stationary parallel plates, in Cartesian co-ordinate (x,y,z) system. Assume plates are very long in x-direction, wide in z-direction (also there is no variation of velocity in z direction) and distance between them is 2h. The velocity in such a channel is given as The origin y = 0 is located at the center between the plates. If h = 48 mm and , difference between values of stream functions passing through y = 0 and y = h/2 is __________ mm2/s. XE-B 5/8 GATE 2016 Fluid Mechanics-XE-B Q.21 A pump is used to deliver water to an overhead tank at a flow rate of . The pump adds1.6 kW to water. If the density of water is 1000 kg/m3 and acceleration due to gravity is 10 m/s2, the pump head added to the flow is _________ m. Q.22 Water is discharged at atmospheric pressure from a large reservoir through a long pipe of diameter d and length L. The height of the free surface of the reservoir from the discharge point is h meters. The Darcy's friction factor of the pipe is 0.002. Neglect the velocity inside the reservoir as the reservoir is very large. Given, L = 20m, d = 40mm, density of water = 1000kg/m3 and flow rate is . Assume gravitational acceleration, g = 10 m/s2. The value of h is _______m. END OF THE QUESTION PAPER XE-B 6/8 GATE 2016 Materials Science XE-C C : Materials Science Q. 1 Q. 9 carry one mark each. Q.1 Energy Dispersive Spectroscopy (EDS) in a typical scanning electron microscope enables elemental identification by collecting and examining which of the following: (A) (B) (C) (D) Q.2 Secondary electrons from the sample Back scattered electrons from the sample Characteristic X-rays from the sample Diffraction pattern from the sample Which of the following rotational symmetry is forbidden in a perfectly periodic 3-dimensional lattice? (A) 1-fold Q.3 (B) 3-fold (B) Enthalpy (D) Heat capacity Cross slip is easily promoted in metals having (A) a low stacking fault energy. (C) a high stacking fault energy. Q.5 (D) 6-fold Which of the following thermodynamic properties shows a discontinuity during a second-order phase transition? (A) Volume (C) Entropy Q.4 (C) 5-fold (B) a low grain boundary energy. (D) a high grain boundary energy. For a typical metal at room temperature and atmospheric pressure, the Fermi energy is defined as the energy level for which the probability of occupancy is: (A) 0 (B) 0.25 (C) 0.5 (D) 1 Q.6 Number of elements in a tensor of rank 4 is _________________. Q.7 Which one of the following effects is the working principle of a thermocouple? (A) Thomson (B) Seebeck (C) Peltier (D) Meissner Q.8 At equilibrium, the maximum number of phases that can coexist in a ternary system at constant pressure is ____________. Q.9 Defect-free single crystal alumina (sapphire) is (A) opaque and white. (C) translucent. XE-C (B) transparent. (D) opaque and black. 1/3 GATE 2016 Materials Science XE-C Q. 10 Q. 22 carry two marks each. Q.10 Match the following processes and the products obtained: P: Mechanical attrition Q: Physical vapour deposition R: Injection moulding S: Sintering (A) P-1, Q-2, R-3, S-5 (C) P-4, Q-1, R-3, S-2 1: Thin films 2: Plastics 3: Nanoparticles 4: Rails 5: Carbide tools (B) P-3, Q-1, R-2, S-5 (D) P-3, Q-4, R-1, S-2 Q.11 In a diffraction experiment, monochromatic X-rays of wavelength 1.54 are used to examine a material with a BCC structure. If the lattice parameter is 4.1 , the angular position of the first diffraction peak is ________________ degrees. Q.12 The yield strength of a ferritic steel increases from 120 MPa to 150 MPa when the grain size is decreased from 256 m to 64 m. When the grain size is further reduced to 16 m, the expected yield strength is __________________ MPa. Q.13 A direct bandgap semiconductor has a bandgap of 1.8 eV. The threshold value of the wavelength BELOW which this material will absorb radiation is__________________ . (Given: Planck s constant, h = 6.626 10 34 J s, the charge of an electron, e = 1.6 10 19 C, and speed of light, c = 3 108 m s 1) Q.14 A half cell consisting of pure Ni immersed in an aqueous solution containing Ni2+ ions of unknown concentration, is galvanically coupled with another half cell consisting of pure Cd immersed in a 1 M aqueous solution of Cd2+ ions. The temperature is 25 oC and pressure is 1 atm. The standard electrode reduction potentials of Ni and Cd are 0.250 V and 0.403 V, respectively. The voltage of the cell is found to be zero. The concentration of Ni2+ in the solution is ____________ 10 6 M. (Given: Universal gas constant, R = 8.31 J mol 1 K 1, Faraday s constant, F = 96500 C mol 1) Q.15 Match the type of magnetism given in Group 1 with the material given in Group 2: Group 1 P: Ferromagnetic Q: Ferrimagnetic R: Antiferromagnetic S: Paramagnetic (A) P-4, Q-3, R-1, S-2 (C) P-1, Q-2, R-4, S-3 Q.16 XE-C Group 2 1: Nickel oxide 2: Sodium 3: Magnetite 4: Cobalt (B) P-4, Q-1, R-3, S-2 (D) P-3, Q-2, R-1, S-4 Gallium is to be diffused into pure silicon wafer such that its concentration at a depth of 10 3 cm will be one half the surface concentration. Given that the diffusion coefficient (D) of gallium in silicon at 1355 C is 6 10 11 cm2 s 1, the time the silicon wafer should be heated in contact with gallium vapour at 1355 C is _______________ s. (Given: erf(0.5) 0.5) 2/3 GATE 2016 Materials Science XE-C Q.17 A batch of spherical titania nanoparticles, uniform in size, has a specific surface area of 125 m2 g 1. If the density of titania is 4.23 g cm 3, the diameter of the particles is _______________ nm. Q.18 Given the probability distribution function 0.25 x for 1 x 3 f ( x) = 0 otherwise The probability that the random variable x takes a value between 1 and 5 is _______________. Q.19 In the vulcanization of 50 g of natural rubber, 10 g of sulfur is added. Assuming the mer to S ratio is 1:1, the maximum percentage of cross-linked sites that could be connected is ___________%. (Given: atomic weight of S is 32 amu and molecular weight of a mer of natural rubber is 68 amu) Q.20 Match the heat treatment process of steels given in Group 1 with the microstructural feature given in Group 2: Group 1 Group 2 P: Quenching 1: Bainite Q: Normalizing 2: Martensite R: Tempering 3: Pearlite S: Austempering 4: Iron carbide precipitates 5: Intermetallic precipitates (A) P-2, Q-3, R-4, S-1 (C) P-4, Q-1, R-5, S-3 Q.21 In the photoelectric effect, electrons are ejected (A) (B) (C) (D) Q.22 (B) P-3, Q-4, R-5, S-1 (D) P-2, Q-5, R-4, S-3 at all wavelengths, as long as the intensity of the incident radiation is above a threshold value. at all wavelengths, as long as the intensity of the incident radiation is below a threshold value. at all intensities, as long as the wavelength of the incident radiation is below a threshold value. at all intensities, as long as the wavelength of the incident radiation is above a threshold value. The angle between [110] and [111] directions in the cubic system is ______________ degrees. END OF THE QUESTION PAPER XE-C 3/3 GATE 2016 Solid Mechanics D : SOLID MECHANICS Q. 1 Q. 9 carry one mark each. Q.1 A single degree of freedom vibrating system has mass of 5 kg, stiffness of 500 N/m and damping coefficient of 100 N-s/m. To make the system critically damped (A) (B) (C) (D) Q.2 only the mass is to be increased by 1.2 times. only the stiffness is to be reduced to half. only the damping coefficient is to be doubled. no change in any of the system parameters is required. A L shaped robotic arm AB is connected to a motor at end A and a magnetic gripper at B as shown in the figure. If the arm is rotating with an angular velocity of 2 rad/s and an angular acceleration of 3 rad/s2, the magnitude of the acceleration (in m/s2) of the end B is B 0.3 m 2 rad/s 3 rad/s2 900 A 0.4 m (A) 2.0 Q.3 (B) 2.5 (C) 5.0 A block of weight 100 N is in static equilibrium on an inclined plane which makes an angle 15 with the horizontal. The coefficient of friction between the inclined plane and the block is 0.3. The magnitude of friction force (in N) acting on the block is __________ 15 XE-D (D) 6.0 100 N 1/9 GATE 2016 Q.4 Solid Mechanics The lower end A of the rigid bar AB is moving horizontally on the floor towards right with a constant velocity of 5 m/s and the point B is sliding down the wall. The magnitude of the velocity of point B at the instant 30 is Wall B A Floor (A) zero (B) 4.34 m/s (C) 7.25 m/s (D) 8.66 m/s Q.5 The state of plane stress at a point in a body is shown in the figure. The allowable shear stress of the material of the body is 200 MPa. According to the maximum shear stress theory of failure the maximum permissible value of (in MPa) is __________ Q.6 For a slender steel column of circular cross-section the critical buckling load is Pcr . If the diameter of the column is doubled (keeping other material and geometrical parameters same), then the critical buckling load of the column is (A) Pcr /16 (B) 8 Pcr (C) 2 Pcr (D) 16 Pcr Q.7 A closed thin cylindrical pressure vessel having an internal diameter of 1000 mm and a thickness of 10 mm is subjected to an internal pressure of 4 MPa. The maximum shear stress (in MPa) induced in the cylinder is __________ (neglect the radial stress). Q.8 A solid circular shaft subjected to pure torsion develops a maximum torsional shear stress of 120 MPa. Keeping the torsional moment same, if the diameter of the shaft is doubled then the maximum shear stress (in MPa) induced in the shaft is __________ XE-D 2/9 GATE 2016 Q.9 Solid Mechanics On a single straight track, a vehicle of mass 500 kg moving with a velocity of 25 m/s strikes another vehicle of mass 250 kg moving with a velocity 10 m/s in the same direction. After the impact, if both the vehicles stick together, the common velocity (in m/s) with which both the vehicles will move together is __________ Q. 10 Q. 22 carry two marks each. Q.10 A system with three forces and a concentrated moment at A is shown in the figure. The system is replaced by an equivalent force system with a single force and a single couple at point O . The magnitude (in N-m) of the equivalent couple at O is __________ 50 N 1m A 100 N 50 N-m 4m 30o O 2m 2m 200 N Q.11 A block A on a smooth inclined plane is connected to block B as shown in the figure using an inextensible cord which pass over a mass-less and friction-less pulley. Initially, the block B is constrained to be at rest. If the constraint on block B is released, the magnitude of velocity (in m/s) of the block B after 2 seconds from its release is __________ (assume g =10 m/s2). 10 kg B 5 kg A 30 XE-D 3/9 GATE 2016 Q.12 Solid Mechanics The vibrating system shown in the figure carries a mass of 10 kg at the free end, where the static deflection is 1 mm. This system is to be replaced by an equivalent vibrating spring mass system having equivalent mass of 2 kg (assume g =10 m/s2). The natural frequency (in rad/s) and the stiffness (in kN/m) of the equivalent system respectively are 2m (A) 10 and 20 Q.13 (B) 20 and 100 1m (C) 100 and 20 (D) 1000 and 20 A beam having flexural rigidity EI and length L is subjected to a concentrated end moment M 0 as shown in the figure. For EI 4 103 N-m 2 , L 1m and M 0 8 kN-m , the strain energy stored (in kN-m) in the beam and the rotation (in rad) at the free end respectively are M0 L (A) 8.00 and 0.02 XE-D (B) 8.00 and 2.00 (C) 8.00 and 0.04 (D) 0.80 and 2.00 4/9 GATE 2016 Q.14 Solid Mechanics At a point O on a metal sheet a square OABC of a unit side length is drawn. The square undergoes a small uniform elastic deformation and deforms to OA*B*C* (dashed lines) as shown in the figure. All dimensions are in mm and the figure is not to scale. The normal strains x , y and shear strain xy developed in the square respectively are (A) 0.0020, 0.0025 and 0.0020 (C) 0.0025, 0.0020 and 0.0020 Q.15 (B) 0.0020, 0.0025 and 0.0020 (D) 0.0020, 0.0025 and 0.0020 Mohr s circle for the state of plane stress at a point is shown in the figure. Unit of stress is MPa and the circle is drawn not to scale. Which one of the following options (stress values in MPa) is true? (shear stress) 30 ( A, A) O Origin of axis C Center of Mohr s circle A ( , 0) O ( , 0) (normal stress) C 40 B ( , ) 20 (A) A 50, B 10, 1 30, 2 70 (C) A 30, B 30, 1 30, 2 10 XE-D (B) A 50, B 20, 1 30, 2 50 (D) A 20, B 10, 1 50, 2 30 5/9 GATE 2016 Q.16 Solid Mechanics As shown in the figure, links AB and CD support the rigid member BD. Links AB and CD are made of aluminum alloy E 100GPa and each has a cross-sectional area of 100 mm 2 . All the members are pin connected and all the dimensions are in mm. Neglecting the weights of the members, the elongation (in mm) of the link AB is __________ A C 6 kN 400 400 B 100 Q.17 D 200 Figure shows an elastic beam of constant flexural rigidity EI and length L . The transverse deflection v( x) for the beam is represented by the equation v( x ) M 0 x 3 x 2 L (4 EI L) , where M 0 is the applied couple. If L 100 mm and M 0 100 N-mm , then the magnitude of the shear force (in N) at the middle of the beam (at x L / 2) is __________ XE-D 6/9 GATE 2016 Q.18 Solid Mechanics Which one of the following represents the correct bending moment diagram of the beam PQR loaded as shown in the figure? (A) (C) Q.19 (B) (D) A point in a body is subjected to plane state of stress in XY plane. If x 140 MPa, y 60 MPa and the major principal stress is 150 MPa, the magnitude of the in-plane shear stress xy (in MPa) is (A) 75 XE-D (B) 30 (C) 40 (D) 70 7/9 GATE 2016 Q.20 Solid Mechanics A 40 mm diameter rotor shaft of a helicopter transmits a torque T = 0.16 kN-m and a tensile force P = 24 kN. The maximum tensile stress (in MPa) induced in the shaft is __________. Use the value of = 3.1416. P T T P Q.21 A wooden block of length 400 mm, width 50 mm and depth 100 mm is subjected to uniaxial load as shown in the figure. An inclined plane ABCD is shown which makes an angle with the XZ plane and the line CD is parallel to the Z-axis. The normal stress on the plane ABCD is n1 when 30o and the normal stress on the plane ABCD is n 2 when 120o . The value of n2 n1 is __________ Y B A 10 kN 10 kN Z XE-D C X D 400 mm 8/9 GATE 2016 Q.22 Solid Mechanics For the truss shown in the figure, which one of the following statements is true? 4m C 4m 4m F E D 3m A G 9kN (A) (B) (C) (D) H B 12 k N AG is the only zero force member. AG and BH are the only two zero force members. AG, BH and HF are zero force members. AG, BH, HF and GC are zero force members. END OF THE QUESTION PAPER XE-D 9/9 GATE 2016 THERMODYNAMICS-XE-E E : THERMODYNAMICS Notation used: P - pressure, V - volume, T - temperature, S - entropy, H - enthalpy, U - internal energy, A - Helmholtz free energy, Cp - specific heat capacity at constant pressure. Specific properties are designated by lower case symbols. Useful data: Universal gas constant R = 8.314 kJ/(kmol.K) Cp of air = 1.005 kJ/(kg.K) Ratio of ideal gas specific heats for air: = 1.4 Molecular mass of hydrogen: 2 kg/kmol Q. 1 Q. 9 carry one mark each. Q.1 Which of the following thermodynamic properties is NOT an intensive property of a thermodynamic system: (A) Pressure (C) Density Q.2 An U-tube manometer shows a height difference of z1 between the two columns for a known gauge pressure P1 (both z1 and P1 in appropriate units). If the height difference between the two columns is 2z1, then the corresponding gauge pressure will be: (A) P1/2 Q.3 (B) Temperature (D) Volume (B) 2P1 (C) P1 (D) 4P1 Water vapour can be treated as an ideal gas, (A) for all temperature and pressure (B) for sufficiently low pressure, regardless of its temperature (C) for very high pressure only (D) for sufficiently low temperature, regardless of its pressure Q.4 The thermal efficiency of a Carnot engine is 0.5. If the temperature of the cold reservoir is 300 K, then the temperature of the hot reservoir is: (A) 600 K Q.5 (B) 1200 K (C) 900 K (D) 450 K In a reversible, constant-pressure, non-flow process, heat input is given by (A) change in internal energy (B) change in enthalpy (C) change in entropy (D) work output Q.6 Moist air undergoes an adiabatic saturation process such that the relative humidity of air increases. For this process, (A) Dry bulb temperature increases, specific humidity increases (B) Dry bulb temperature increases, specific humidity decreases (C) Dry bulb temperature decreases, specific humidity increases (D) Dry bulb temperature decreases, specific humidity decreases XE-E 1/6 GATE 2016 Q.7 THERMODYNAMICS-XE-E A steadily flowing ideal gas undergoes adiabatic throttling, where T1: temperature before throttling T2: temperature after throttling Assuming no change in kinetic and potential energy due to throttling, which of the following is correct: (A) T1 = T2 (C) T1 < T2 Q.8 For irreversible heat transfer from a hot body to a cold body, if denotes the property change of both hot and cold bodies (i.e. difference between its final and initial values), then (A) (C) Q.9 (B) T1 > T2 (D) T1 = T2, : specific heat ratio S = 0 S < 0 (B) (D) U > 0 S > 0 A closed system undergoes a cyclic process. For the net work done by the system on the surroundings, which of the following statements is FALSE: (A) Net work is always zero (B) Net work is if the process is reversible (C) Net work can be negative (D) Net work can be positive Q. 10 Q. 22 carry two marks each. Q.10 Consider the following statements related to the second law of thermodynamics: P. A cyclic heat engine cannot produce net work by exchanging heat only with one reservoir. Q. The efficiency of a reversible heat engine is dependent on the nature and amount of working substance undergoing the cycle. R. It is impossible to have a cyclic device which will produce no effect other than the transfer of heat from a cold body to a hot body. S. It is impossible to have heat engines operating between a heat source and sink to have a lower efficiency than that of a reversible heat engine operating between the same source and sink. For which of the following options, BOTH the statements are inconsistent with the second law of thermodynamics: (A) P and R Q.11 (B) P and Q (C) R and S (D) Q and S Consider the following statements related to air-standard Otto, Diesel, and Brayton cycles: P. Brayton cycle has at least one isentropic and one isobaric process. Q. Otto cycle has at least one isentropic and one isochoric process. R. Diesel cycle has at least one isentropic and one isothermal process. S. At least one of the cycles has an isothermal process. For which of the following options, BOTH the statements are consistent with the operation of the above cycles: (A) P and R XE-E (B) P and Q (C) R and S (D) P and S 2/6 GATE 2016 Q.12 THERMODYNAMICS-XE-E Volumetric analysis of a hydrocarbon combustion product shows 8% CO2, 15% H2O (vapour), 5.5% O2 and 71.5% N2. The combustion product flows steadily through a heat exchanger at 200 kPa pressure. Assume each component in the mixture to be an ideal gas. In order to avoid the condensation of H2O in the heat exchanger, the minimum allowable temperature (in oC) is ______. P (kPa) T (oC) Q.13 Saturated H2O Table: 10 20 30 40 45.83 60.09 69.12 75.82 50 81.35 An equimolar mixture of two ideal gases (A, B) expands isentropically in a nozzle. The gas mixture enters the nozzle at 300 kPa, 400 K and exits at 100 kPa. Assuming the mixture to be an ideal gas, the exit temperature of the gas mixture (in K) is _________. Gas A Gas B Molar mass (kg/kmol) 28.013 2.016 Cp (kJ/kg-K) 1.04 14.21 Q.14 A rigid vessel of volume 10 m3 is filled with hydrogen at 25oC and 500 kPa. Due to leakage, some gas has escaped from the vessel until the pressure in the vessel drops down to 200 kPa, and the corresponding temperature of the gas inside the vessel is found to be 15oC. The amount of gas leaked (in kg) from the vessel is _________. Q.15 A hot ideal gas (Cp = 1.2 kJ/(kg.K)) steadily flows through a turbine with inlet and exit temperatures of 1500 K and 500 K respectively. The minimum mass flow rate (in kg/s) of the hot gas to achieve a power output of 12 MW is ____________. Q.16 Air pressure inside a spherical balloon is proportional to its diameter. The balloon undergoes a reversible, isothermal, non-flow process. During the process, the balloon maintains its spherical shape, and the air inside the balloon consumes 2 kJ of heat. Initial air pressure inside the balloon was 120 kPa, while the initial balloon diameter was 20 cm. Assuming air to be an ideal gas, the final diameter of the balloon (in cm) is _____________. Q.17 An air-standard diesel engine has a compression ratio of 18 (the ratio of the volume at the beginning of the compression process to that at the end of the compression process), and a cut-off ratio of 2 (the ratio of the volume at the end of the heat addition process to that at the beginning of the heat addition process). The thermal efficiency (in %) of the engine is ____________________. Q.18 Compressed air, at 1 MPa pressure, 400 K temperature flows through a large pipe. An evacuated, insulated rigid tank of 0.5 m3 volume is connected to the pipe through a valve. The valve is opened to fill the tank and the valve closes automatically when the tank pressure reaches 1 MPa. Assuming ideal gas behaviour, the final air temperature in the tank (in K) is __________. Q.19 A 40 kg metal block (Cp = 0.5 kJ/(kg.K)) at T = 450oC is quenched in 150 kg oil (Cp = 2.5 kJ/(kg. K)) at T = 25oC. If the combined (metal block and oil) system is fully isolated from its surroundings, then the net change in the entropy (in kJ/K) of the combined system is ________________. Q.20 For phase change from solid (sol) to liquid (liq) state, if the slope of the solid-liquid coexistence line in the P-T diagram is negative, then: (A) vliq < vsol XE-E (B) vliq > vsol (C) sliq < ssol (D) hliq < hsol 3/6 GATE 2016 THERMODYNAMICS-XE-E Q.21 A house-hold refrigerator operates under steady state condition between an evaporator temperature of 263 K and a condenser temperature of 323 K. The heat load to the refrigerator is 3 kW. The actual COP of the refrigerator is half of that of a Carnot refrigerator operating between the same condenser and evaporator temperatures. The power required (in kW) to run the refrigerator is ___________. Q.22 The Maxwell relation that results from the expression for the Helmholtz free energy is: (A) = (B) = (D) , = (C) = = END OF THE QUESTION PAPER XE-E 4/6 GATE 2016 XE F : Polymer Science and Engineering Q. 1 Q. 9 carry one mark each. Q.1 The polymer with minimum number of branches is (A) HDPE (C) LDPE Q.2 (B) VLDPE (D) LLDPE Nitrile rubber is a copolymer of (A) isoprene and acrylonitrile (C) cyclopentadiene and acrylonitrile Q.3 The functionality of 1,4-divinylbenzene in reactions involving addition across carbon-carbon double bond is (A) 1 Q.4 (B) 2 (B) enthalpy factor (D) solubility (B) same as Young's modulus (D) stress at break The solubility parameter is determined by using (A) Bragg's equation (C) Hildebrand equation Q.8 (B) butylene diamine (D) octane dicarboxylic acid Rubber modulus is (A) ratio of stress to strain (C) stress at specified strain Q.7 (D) 4 Polyethylene and polypropylene form an immiscible blend mainly due to (A) entropy factor (C) crystallinity Q.6 (C) 3 The comonomer common to Nylon 66 and Nylon 46 is (A) hexamethylene diamine (C) adipic acid Q.5 (B) butadiene and acrylonitrile (D) isobutylene and acrylonitrile (B) Fox equation (D) Carother's equation 'Roller die' consists of a combination of (A) a two-roll calender with internal mixer feeding (B) a two-roll calender with open mill feeding (C) a three-roll vertical calender with two-roll mixer feeding (D) a two-roll calender with extruder feeding Q.9 Resole is an example of (A) thermoplastic polymer (C) natural polymer Polymer Science and Engineering (F) (B) thermosetting polymer (D) thermoplastic elastomer 1/3 GATE 2016 XE Q. 10 Q. 22 carry two marks each. Q.10 Match the processing technique to the appropriate product listed below: Processing Technique P. Blow molding Q. Co-extrusion R. Injection molding S. Thermoforming Product 1. Bucket 2. Blister packaging 3. Bottles 4. Multilayered sheets (A) P-3; Q-4; R-2; S-1 (C) P-3; Q-4; R-1; S-2 (B) P-3; Q-1; R-4; S-2 (D) P-3; Q-2; R-1; S-4 Q.11 For a high molecular weight polymer sample with a viscosity of 6 x 1011 Poise and a stress relaxation modulus of 3 x 106 dyne cm-2 at a given temperature, the relaxation time will be _____ hours. Q.12 Match the following polymer additives to their function: Additive P. Azocarbonamide Q. Antimony trioxide R. Pentachlorothiophenol S. Mercaptobenzothiazole (A) P-4; Q-1; R-3; S-2 (C) P-4; Q-3; R-2; S-1 Function 1. Chemical plasticizer 2. Accelerator 3. Flame retardant 4. Blowing agent (B) P-4; Q-2; R-1; S-3 (D) P-4; Q-3; R-1; S-2 Q.13 Tensile force of 165 N is applied to a piece of vulcanized rubber of dimension 4 mm x 4 mm x 30 mm. If the sample is elongated by 50% of its original length under the same applied force, the true stress will be _______ MPa. Q.14 The order of glass transition temperature for the given polymers is [NR=natural rubber; PP=polypropylene; PE=polyethylene; PMMA=poly(methyl methacrylate)] (A) NR < PE < PP < PMMA (B) PE < NR < PP < PMMA (C) PE < PP < NR < PMMA (D) NR < PP < PE < PMMA Q.15 Dynamic mechanical analysis of polystyrene (Tg = 100 C) measured at a frequency of 1 Hz shows the damping peak at 110 C. If the measurement is made at 104 Hz, then the peak temperature ( C) will be (A) 123.2 Q.16 (B) 133.2 (C) 143.2 (D) 153.2 Match the product to the most suitable plastic listed below: Product P. Baby feeding bottle Q. Tiffin box R. Water bottle S. Blood bag (A) P-1; Q-4; R-2; S-3 (C) P-1; Q-3; R-2; S-4 Polymer Science and Engineering (F) Plastic 1. Polypropylene 2. Poly(ethylene terephthalate) 3. Poly(vinyl chloride) 4. Polycarbonate (B) P-4; Q-1; R-2; S-3 (D) P-4; Q-3; R-2; S-1 2/3 GATE 2016 XE Q.17 The number average molecular weight for the polymerization of adipic acid and ethylene glycol (feed ratio 1:1) at 99 percent conversion is ________ g mol-1. Q.18 A composite material contains 30 % by volume of uniaxially aligned glass fibres in a matrix of alkyd resin. The tensile moduli of the glass fibre and alkyd resin are 76 GPa and 3 GPa, respectively. If a tensile stress of 100 MPa is applied parallel to the fibres, the percentage longitudinal strain is _____ . Q.19 Match the elastomers listed below to the appropriate curing agent: Elastomer P. Silicone rubber Q. Natural rubber R. Chloroprene rubber S. Acrylate elastomer (A) P-4; Q-3; R-1; S-2 (C) P-4; Q-1; R-3; S-2 Curing Agent 1. Zinc oxide + ethylene thiourea 2. Diamine 3. Sulfur 4. Dicumyl peroxide (B) P-3; Q-4; R-1; S-2 (D) P-2; Q-3; R-4; S-1 Q.20 The weight of graphite fiber (density = 1800 kg m-3) that should be added to 1.00 kg of vinyl ester resin (density = 1250 kg m-3) to produce a composite with a density of 1600 kg m-3 is _______ kg. Q.21 If the values of K and a in the Mark-Houwink equation are 1.5 x 10-4 dL g-1 and 0.60, respectively, the viscosity average molecular weight of a polymer having an intrinsic viscosity of 0.05 dL g-1 is _____ kg mol-1. Q.22 A rectangular polymer bar of length 40 mm fits exactly into a steel mold cavity and the entire assembly was heated from 20 to 100 C. The linear thermal expansion coefficients of the polymer and steel are 80 x 10-6 C-1 and 11 x 10-6 C-1, respectively. The strain encountered by the polymer sample along the length will be _____ %. END OF THE QUESTION PAPER Polymer Science and Engineering (F) 3/3 GATE 2016 Food Technology (XE-G) G: FOOD TECHNOLOGY Q. 1 Q. 9 carry one mark each. Q.1 Bread staling is caused by _________. (A) Caramelisation Q.2 (B) Gelatinisation (C) Retrogradation (D) Aggregation Arrange the grades of tea in the increasing order of their leaf size _____, _______ and ______. (A) Souchang, pekoe and orange pekoe (B) Pekoe, souchang and orange pekoe (C) Orange pekoe, souchang, and pekoe (D) Orange pekoe, pekoe, and souchang Q.3 Fruit juice is being pasteurized in a tubular heat exchanger. The retention time in holding tube of 0.2 m cross sectional area is 3 seconds. If the flow rate of juice is 0.4 m3 s-1, the length of the holding tube in m, is _____. Q.4 The oil, which experiences flavor reversion even at the lower peroxide value is _______. (A) Mustard (C) Palm (B) Soybean (D) Sesame Q.5 80 kg of wheat containing 10 kg of moisture has been dried to a moisture content of 8% wet basis in 3 hours under constant rate period of drying. The drying rate in kg h-1 is _____ Q.6 The rate of cream separation in a disc bowl centrifuge can be increased by ______ (A) Increasing the size of the bowl (C) Increasing RPM of the bowl Q.7 Which one of the following is not used in mass transfer analysis? (A) Biot number (C) Schmidt number Q.8 (B) Peclet number (D) Sherwood number Oxygen is permeating through an EVOH film of thickness t and solubility coefficient S . If diffusivity of oxygen through the film is D , then permeability of oxygen through the film will be ______. (A) D/t XE-G (B) Lower viscosity of fluid (D) All of these (B) D/S (C) D S (D) S/D 1/4 GATE 2016 Food Technology (XE-G) Q.9 Condensing steam is used to heat vegetable oil in a double pipe co-current heat exchanger. If the inlet and outlet temperature of steam are Thi and Tho, and for vegetable oil Tci and Tco, respectively, the log mean temperature difference ( TLM ) will be _______ (A) (C) Thi Tco T T ln hi ci Thi Tco (B) Thi Tco Tho Tci ln Thi Tci Tco Tci Tho Tco Thi Tco ln (D) Tho Tci Tho Tco Tco Tci T T ln hi ci Thi Tco Q. 10 Q. 22 carry two marks each. Q.10 Match the food spoilage organisms given in Column I with the associated foods given in Column II Column I P. Clostridium botulinum Q. Salmonella spp. R. Vibrio parahaemolyticus S. Bacillus cereus (A) P-4, Q-3, R-1, S-2 (C) P-2, Q-1, R-3, S-4 Q.11 Column II 1. Fish 2. Cooked starch foods 3. Meat, egg and poultry 4. Canned foods (B) P-3, Q-4, R-2, S-1 (D) P-4, Q-3, R-2, S-1 Fluid is flowing inside a pipe of radius R in fully developed laminar flow. If the velocity of the fluid at the centre at a distance L is v max , velocity at radial distance of (R) will be __times vmax (A) 9/16 (B) 7/16 (C) 16/9 (D) 16/7 Q.12 A meat ball with a radius of 25.4 mm at a temperature of 700 K, is suddenly plunged into a medium whose temperature is held at 395 K. Assume a convective heat transfer coefficient of 11.5 W m- K-1 and take the average physical properties as: K = 44 W m-1 K-1, = 7850 kg m-3 and cp = 0.4606 kJ kg-1K-1. The temperature (K) of the meat ball after one hour is _____ Q.13 a) Assertion: Acidulates are added in soft drinks to provide a buffering action. r) Reason: Buffers tend to prevent changes in pH and prevent excessive tartness. Choose the correct answer from the following (A) Both a) and r) are true but r) is not the correct reason (B) Both a) and r) are true and r) is the correct reason for a) (C) a) is true but r) is false (D) Both a) and r) are false Q.14 XE-G The D121 and Z values for C. botulinum spores in canned food are 0.2 min and 10 oC respectively. Total time required in min, to reduce the spores from 102 to 10-6 at 111 oC is _______ . 2/4 GATE 2016 Food Technology (XE-G) Q.15 a) Assertion: Olestra is used as a zero calorie fat replacer r) Reason: It is a sucrose polyester with 6-8 acyl group and is not absorbed in the human digestive system. Choose the correct answer from the following (A) Both a) and r) are false (B) Both a) and r) are true, but r) is not the correct reason for a) (C) a) is true but r) is false (D) Both a) and r) are true and r) is the correct reason for a) Q.16 Match the enzymes in Column I with their functions in Column II Column I P. Amylase Q. Invertase R. Phosphatase S. Protease (A) P-1, Q-2, R-3, S-4 (C) P-1, Q-4, R-2, S-3 Q.17 (A) P-3, Q-4, R-2, S-1 (C) P-1, Q-2, R-3, S-4 Column II 1. Overcome the deficiency of nutrient by mixing of two plant sources 2. Overcome the deficiency of nutrient from a synthetic source 3. Restoration of nutrient which is lost during processing 4. Addition of nutrient which may or may not originally present (B) P-4, Q-3, R-1, S-2 (D) P-2, Q-3, R-1, S-4 Match the products in Column I with their Original Phase in Column II Column I P. Milk Q. Butter R. Lactose S. Casein (A) P-3, Q-4, R-1, S-2 (C) P-4, Q-3, R-2, S-1 Q.19 (B) P-4, Q-1, R-3, S-2 (D) P-2, Q-4, R-3, S-1 Match the terms in Column I with their most appropriate description in Column II Column I P. Enrichment Q. Fortification R. Supplementation S. Complementation Q.18 Column II 1. Conversion of sucrose to glucose and fructose 2. Softening of dough 3. Effectiveness of pasteurization 4. Conversion of starch to maltose Column II 1. Colloidal 2. Solution 3. Water in oil emulsion 4. Oil in water emulsion (B) P-3, Q-4, R-2, S-1 (D) P-4, Q-3, R-1, S-2 a) Assertion: Presence of low sulphur containing amino acids make casein in milk to boil, sterilize and concentrate without coagulation even at higher temperature. r) Reason: This is due to the restricted formation of di-sulphide bonds resulting in increased stability. Choose the correct answer from the following (A)Both a) and r) are true and r) is the correct reason for a) (B) Both a) and r) are true but r) is not the correct reason for a) (C) Both a) and r) are false (D) a) is true but r) is false XE-G 3/4 GATE 2016 Food Technology (XE-G) Q.20 In a typical Psychrometric Chart shown below, the processes OP, OQ and OR related to air water vapor mixture are _____, _______ and __________. P Q O R (A) Cooling & dehumidification, cooling & humidification, heating & humidification (B) Cooling & dehumidification, heating & humidification, drying (C) Heating & humidification, cooling & humidification, cooling & dehumidification (D) Heating & humidification, cooling & dehumidification, drying Q.21 A fruit juice with a negligible boiling point rise is being evaporated using saturated steam at 121.1 C in a triple effect evaporator having equal area in each effect. The pressure of the vapor in the last effect is 25.6 kPa absolute and the corresponding saturation temperature is 65.7 C. The heat transfer coefficients are U1 = 2760, U2 =1875 and U3 = 1350 W m- K-1. The boiling point ( C) in the first effect is __ . Q.22 In an aeration system, 520 kg of wheat grains having average size of 0.15 mm, shape factor of 0.88 and density of 1040 kg m-3 are fluidized using air at 2 atm absolute and 25 C. If the cross section of empty bed is 0.4 m , the minimum height (m) of the fluidized bed, with voidage of 0.45 will be _____ . END OF THE QUESTION PAPER XE-G 4/4 Q. No 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 1 2 3 4 5 6 Type Section Key Marks MCQ GA C 1 MCQ GA B 1 MCQ GA B 1 MCQ GA B 1 MCQ GA C 1 NAT GA 120.0 : 120.0 2 MCQ GA C 2 MCQ GA C 2 MCQ GA A 2 NAT GA 7.0 : 7.0 2 MCQ XE-A B 1 MCQ XE-A D 1 NAT XE-A 0.5 : 0.5 1 MCQ XE-A A 1 MCQ XE-A A 1 MCQ XE-A B 1 MCQ XE-A D 1 NAT XE-A 0.099 : 0.101 2 MCQ XE-A C 2 NAT XE-A 5.0 : 5.0 2 NAT XE-A 0.149 : 0.151 2 NAT XE-B 0.0049 : 0.0051 1 MCQ XE-B B 1 NAT XE-B 15.3 : 15.5 1 NAT XE-B 1.4 : 1.42 1 MCQ XE-B C 1 MCQ XE-B D 1 NAT XE-B -0.00001 : 0.00001 1 MCQ XE-B A 1 NAT XE-B 0.9 : 1.1 1 NAT XE-B 2.95 : 3.05 2 NAT XE-B 7.9 : 8.1 2 NAT XE-B 0.59 : 0.61 2 NAT XE-B 2.09 : 2.11 2 MCQ XE-B D 2 MCQ XE-B D 2 NAT XE-B 0.24 : 0.26 2 MCQ XE-B A 2 NAT XE-B 0.29 : 0.33 2 MCQ XE-B A 2 NAT XE-B 2190 : 2210 2 NAT XE-B 39 : 41 2 NAT XE-B 9.7 : 10.3 2 MCQ XE-C C 1 MCQ XE-C C 1 MCQ XE-C D 1 MCQ XE-C C 1 MCQ XE-C C 1 NAT XE-C 81 : 81 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 1 2 3 4 5 6 7 8 9 10 11 12 MCQ NAT MCQ MCQ NAT NAT NAT NAT MCQ NAT NAT NAT NAT MCQ MCQ NAT MCQ MCQ NAT MCQ NAT MCQ NAT NAT NAT NAT NAT MCQ MCQ MCQ MCQ NAT NAT MCQ MCQ NAT NAT MCQ MCQ MCQ MCQ MCQ MCQ MCQ MCQ MCQ MCQ MCQ MCQ NAT XE-C XE-C XE-C XE-C XE-C XE-C XE-C XE-C XE-C XE-C XE-C XE-C XE-C XE-C XE-C XE-C XE-D XE-D XE-D XE-D XE-D XE-D XE-D XE-D XE-D XE-D XE-D XE-D XE-D XE-D XE-D XE-D XE-D XE-D XE-D XE-D XE-D XE-D XE-E XE-E XE-E XE-E XE-E XE-E XE-E XE-E XE-E XE-E XE-E XE-E B 4:4 B B 15.35 : 15.45 210 : 210 6850 : 6950 6.00 : 7.30 A 16666 : 16668 11.30 : 11.40 0.5 : 0.5 42 : 43 A C 35 : 36 D B 25.5 : 26.0 D 200 : 200 D 100 : 100 15 : 15 20 : 20 150 : 150 10 : 10 C B D A 0.16 : 0.16 1.5 : 1.5 B B 80 : 80 3:3 C D B B A B C A D A D B 67 : 71 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 13 14 15 16 17 18 19 20 21 22 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 NAT NAT NAT NAT NAT NAT NAT MCQ NAT MCQ MCQ MCQ MCQ MCQ MCQ MCQ MCQ MCQ MCQ MCQ NAT MCQ NAT MCQ MCQ MCQ NAT NAT MCQ NAT NAT NAT MCQ MCQ NAT MCQ NAT MCQ MCQ MCQ MCQ MCQ MCQ NAT MCQ NAT MCQ MCQ MCQ MCQ XE-E XE-E XE-E XE-E XE-E XE-E XE-E XE-E XE-E XE-E XE-F XE-F XE-F XE-F XE-F XE-F XE-F XE-F XE-F XE-F XE-F XE-F XE-F XE-F XE-F XE-F XE-F XE-F XE-F XE-F XE-F XE-F XE-G XE-G XE-G XE-G XE-G XE-G XE-G XE-G XE-G XE-G XE-G XE-G XE-G XE-G XE-G XE-G XE-G XE-G 286 : 297 2.30 : 2.40 9.5 : 10.5 28 : 36 62.0 : 64.0 555 : 565 9.7 : 9.9 A 1.34 : 1.40 C A B D C A C C D B C 55.0 : 56.0 D 15.42 : 15.52 B B B 8590 : 8610 0.35 : 0.45 A 2.3 : 2.7 15.5 : 16.5 5.4 : 5.6 C A 5.9 : 6.1 B 1.3 : 1.4 D A C D A B 472 : 475 B 15 : 17 D B A C 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 19 20 21 22 MCQ MCQ NAT NAT XE-G XE-G XE-G XE-G A C 108 : 109 2.2 : 2.3 2 2 2 2

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