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Q. 1 – Q. 5 carry one mark each.
A number is as much greater than 75 as it is smaller than 117. The number is:
Which of the above underlined parts of the sentence is grammatically incorrect?
Which of the following options is the closest in meaning to the word given below:
Primeval
Friendship, no matter how _________it is, has its limitations.
Select the pair that best expresses a relationship similar to that expressed in the pair:
Medicine: Health
Q. 6 to Q. 10 carry two marks each.
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?
If 4X  7 = 5 then the values of 2X  X is:
Following table provides figures (in rupees) on annual expenditure of a firm for two years  2010 and 2011.
In 2011, which of the following two categories have registered increase by same percentage?
A firm is selling its product at Rs. 60 per unit. The total cost of production is Rs. 100 and firm is earning total profit of Rs. 500. Later, the total cost increased by 30%. By what percentage the price should be increased to maintained the same profit level.
Abhishek is elder to Savar.
Savar is younger to Anshul.
Which of the given conclusions is logically valid and is inferred from the above statements?
USEFUL DATA
Universal gas constant, R: 8.314 J/mol/K
Acceleration due to gravity, g: 9.81 m/s^{2}
Faraday constant, F: 96500 C/mol
Bohr magneton, μ_{B}: 9.273 x 10^{24} Am^{2}
Q. 11 – Q. 35 carry one mark each.
Degree and order of the differential equation respectively, are
As the concentration of point defects in a crystal increases, its configurational entropy
In a binary system AB, ε_{AA}, ε_{BB}_{ }and ε_{AB} correspond to AA, BB and AB bond energies respectively. The miscibility gap will occur if
Critical value of the Gibbs energy of nucleation at equilibrium temperature is
With respect to the matrix of AlCu alloys, GP zones are
Which one of the following techniques does NOT require quenching to obtain final case hardness?
Which one of the following elements is an austenite stabilizer?
A 0.2 wt.% plain carbon steel sheet is heated and equilibrated in the intercritical region followed by instant water quenching. The microstructure of the quenched steel sheet consists of
As compared to the engineering stressengineering strain curve, the true stresstrue strain curve for a given material
Which one of the following does NOT improve fatigue life of a steel component?
When two phases α and β in an alloy are in thermodynamic equilibrium, then
Isothermal compressibility of a material is given by
In the Ellingham diagram for oxides, CCO line cuts the MMO line at temperature T_{1} and the M′M′O line at a higher temperature T_{2}. At a temperature greater than T_{1} and less than T_{2}, carbon can reduce
Which one of the following can give information about the corrosion rate?
In a roasting process, the set of conditions that favour sulphate formation from metal sulphide concentrates are
P. high temperature
Q. high partial pressure of oxygen
R. use of excess air
S. high partial pressure of SO_{3}
High top pressure in a blast furnace operation
In LD steelmaking, the final slag can be best described as
The permeability of burden in an ironmaking blast furnace can be improved by using
For a good quality brazing, the molten filler alloy should have
Risers are NOT required for casting
For scalar fields the value of ______
The atomic packing fraction of diamond cubic structure is __________
The total number of possible heat transfer mode(s) is __________
If σ and ε are true stress and true strain, respectively, the maximum true uniform strain that can be
imparted to a material obeying σ = 1050ε^{0.25} is _________
Arc welding is done using current, voltage and welding speed of 200 A, 20 V and 0.01 m/s, respectively. The heat input in kJ per unit length is _________
Q. 36 to Q. 65 carry two marks each.
Which one of the following series is divergent?
Taylor series expansion of the function f(x)= x/1+x around x = 0 will be
Which one of the following attributes is NOT correct for the matrix?
A unit cell of an element has maximum linear density along the [110] direction. The packing density of its (100) plane is
For an FCC metal, the ratio of interplanar spacing obtained from the first two peaks of the Xray diffraction pattern is
There are 150 gearwheels in a box, out of which 112 are within the required tolerance, 21 are below and rest are above the required tolerance. If the selection is done without replacement, the combined probability of randomly selecting a gearwheel below the tolerance and then a second one above the tolerance is
Match the metal in Group I with its corresponding ore in Group II
The yield strength of a polycrystalline metal increases from 100 MPa to 145 MPa on decreasing the grain size from 64 μm to 25 μm. The yield strength of this metal (in MPa) having a grain size of 36 μm is
In a brittle material, the maximum internal crack length is 8 μm. If Young’s modulus is 400 GPa and surface energy is 3.14 J/m^{2}, the estimated theoretical fracture strength (in MPa) is
Saturation magnetization of an FCC metal with lattice parameter 0.2 nm is 600 kA/m. The net magnetic moment per atom is given by (in Bohr magneton)
A 480 mm thick slab is hotrolled using a roll of 720 mm diameter. For a coefficient of friction of 0.5, the maximum possible reduction (in mm) is
Match the defects listed in Group I with the corresponding manufacturing process listed in Group II
Match the powder production technique given in Group I with the corresponding shape listed in Group II
Match the suitability of nondestructive testing method in Group I for the detection of defects listed in Group II
For the following electrochemical reaction Sn + 2H^{+} = Sn^{2+} + H^{2}, if the solution has Sn2^{+ }concentration 10^{2} M and pH 5 at 298 K, which of the following is true? Given: standard reduction potential for versus SHE; p_{H2} = 1 atm
Match the unit operation in Group I with its corresponding principle in Group II:
Determine the correctness or otherwise of the following Assertion (a) and Reason (r).
Assertion: For the extraction of metal values from their sulphide concentrates by hydrometallurgical route, leaching with oxygen under high pressure is used.
Reason: Presence of oxygen under high pressure causes roasting of sulphides, which helps in leaching of the values.
The aperture size (in μm) of a 200 mesh sieve having a wire diameter of 53 μm is __________
From a 2 m × 1.2 m sheet, squares are cut out from each of the four corners as shown in the figure and then the sides are bent to form an open box. The maximum possible volume (in m^{3}) of the box is __________
Applying the secant method, the first approximation to the root of f(x)= 1 + ln x+ x/2, starting with function values at x = 0.3 and x = 0.4, is_______
The critical internal crack length (in mm) in a steel having K_{Ic} of 45 MPa to support a ModeI stress of 400 MPa is __________
Ladle deoxidation of liquid steel is done at 1600°C by adding ferroaluminium. By assuming Stokes law behaviour, time (in s) required for alumina particles of 50 μm diameter to float to the surface from a depth of 2 m would be__________
[Given: density of steel = 7000 kg/m^{3}, density of alumina = 3650 kg/m^{3}, viscosity of steel = 6*10^{3} kg/m/s]
Common Data Questions
Common Data for Questions 58 and 59:
A steel specimen containing 0.2 wt.% C is carburized in an atmosphere that maintains a carbon content of 1.2 wt.% C at the surface of the specimen.
Given:
For carbon diffusion in austenite: D_{0}=2.0×10^{5} m^{2}/s
Activation energy for diffusion, Q=142 kJ/mol
What is the depth (in μm) from the surface of the specimen at which a composition of 0.4 wt.% C is obtained after carburizing at 870°C for 10 h?
A steel specimen containing 0.2 wt.% C is carburized in an atmosphere that maintains a carbon content of 1.2 wt.% C at the surface of the specimen.
Given:
For carbon diffusion in austenite: D_{0}=2.0×10^{5} m^{2}/s
Activation energy for diffusion, Q=142 kJ/mol
How long (in h) will it take to double the depth at which 0.4 wt.% C is reached?
Common Data for Questions 60 and 61:
Integral enthalpy of mixing (in J/mol) of liquid (Cu, Zn) solution can be approximated by
The corresponding partial molar enthalpy of mixing (in J/mol) for Cu is
Integral enthalpy of mixing (in J/mol) of liquid (Cu, Zn) solution can be approximated by
Assuming regular solution behaviour, the solution parameter (in J/mol) is
Linked Answer Questions
Statement for Linked Answer Questions 62 and 63:
The density and associated crystallinity for two polypropylene samples are as follows:
Density of totally amorphous polypropylene is
The density and associated crystallinity for two polypropylene samples are as follows:
The percent crystallinity of polypropylene sample having a density of 1.3 g/cm^{3} is
Statement for Linked Answer Questions 64 and 65:
An edge dislocation is present in αFe. Atomic diameter of iron atom is 0.25 nm and its shear modulus is 70 GPa.
Modulus of the Burgers vector (in nm) is
An edge dislocation is present in αFe. Atomic diameter of iron atom is 0.25 nm and its shear modulus is 70 GPa.
Energy (in J/m) of the dislocation is
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