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Q. 1 – Q. 5 carry one mark each.
A student is required to demonstrate a high level of comprehension of the subject, especially in the social sciences.
The word closest in meaning to comprehension is
Choose the most appropriate word from the options given below to complete the following sentence.
One of his biggest ______ was his ability to forgive.
Rajan was not happy that Sajan decided to do the project on his own. On observing his unhappiness, Sajan explained to Rajan that he preferred to work independently. Which one of the statements below is logically valid and can be inferred from the above sentences?
If y = 5x^{2} + 3, then the tangent at x = 0, y = 3
A foundry has a fixed daily cost of Rs 50,000 whenever it operates and a variable cost of Rs 800Q, where Q is the daily production in tonnes. What is the cost of production in Rs per tonne for a daily production of 100 tonnes?
Q. 6 – Q. 10 carry two marks each.
Find the odd one in the following group: ALRVX, EPVZB, ITZDF, OYEIK
Anuj, Bhola, Chandan, Dilip, Eswar and Faisal live on different floors in a sixstoreyed building (the ground floor is numbered 1, the floor above it 2, and so on). Anuj lives on an evennumbered floor. Bhola does not live on an odd numbered floor. Chandan does not live on any of the floors below Faisal’s floor. Dilip does not live on floor number 2. Eswar does not live on a floor immediately above or immediately below Bhola. Faisal lives three floors above Dilip. Which of the following floorperson combinations is correct?
The smallest angle of a triangle is equal to two thirds of the smallest angle of a quadrilateral. The ratio between the angles of the quadrilateral is 3:4:5:6. The largest angle of the triangle is twice its smallest angle. What is the sum, in degrees, of the second largest angle of the triangle and the largest angle of the quadrilateral?
One percent of the people of country X are taller than 6 ft. Two percent of the people of country Y are taller than 6 ft. There are thrice as many people in country X as in country Y. Taking both countries together, what is the percentage of people taller than 6 ft?
The monthly rainfall chart based on 50 years of rainfall in Agra is shown in the following figure. Which of the following are true? (k percentile is the value such that k percent of the data fall below that value)
(i) On average, it rains more in July than in December
(ii) Every year, the amount of rainfall in August is more than that in January
(iii) July rainfall can be estimated with better confidence than February rainfall
(iv) In August, there is at least 500 mm of rainfall
Q. 11 – Q. 35 carry one mark each.
Which one of the following factors is NOT desirable for effective phosphorus removal in BOF steelmaking process?
Which one of the following microstructures of a Nibase superalloy imparts the highest creep resistance?
Which one of the following plots relating shear stress with strain rate represents Newtonian behaviour of a fluid?
The respective units for dislocation density and stress intensity factor are
Which one of the following is NOT an intensive property?
Identify the wave equation among the following equations.
Which one of the following metal forming processes is the earing defect associated with?
The PillingBedworth ratio is defined as
A tensile specimen was deformed at a constant crosshead speed of 6 mm/min. The strain rate at the start of the testing was 5×10^{3} s^{1}. The initial gauge length of the specimen (in mm) was _______
If all the elements of one row of a 3 × 3 matrix are multiplied by 3, the determinant of the matrix changes by a factor of _______
As mercury is cooled from room temperature to 3 K, its electrical behaviour changes from that of
Which one of the following refers to the ability of a material to absorb energy when deformed elastically?
In the trapezoidal rule for numerical integration of a function, the nature of approximation used for the function in each interval is
Which one of the following NDT techniques CANNOT be used to detect an internal crack in a steel shaft?
Two identical engineering components are made from alloys X and Y. The KIC of alloy X is greater than that of alloy Y. If these components are subjected to the same stress during operation under Mode I loading, which one of the following statements is TRUE?
Which one of the following minerals is a source of titanium?
A steel rod was subjected to a fluctuating stress cycle that varied between a maximum of 400 MPa in tension to a minimum of 300 MPa in compression. What is the stress amplitude, in MPa?______
Which one of the following can avoid weld decay of austenitic stainless steels?
Identify the INCORRECT statement with respect to grain growth.
Identify the type of the following invariant reaction:
liquid 1 + solid 1 solid 2
What is the median value of the following set of numbers? ________
1, 3, 5, 9, 6, 4, 8.
Which one of the following welding processes uses a nonconsumable electrode?
Which one of the following processes is performed for inclusion modification in ladle metallurgy of steelmaking?
If a vector is defined as gradient of a scalar field φ such that then which one of the following is equal to the curl of ?
Which one of the following signals from a specimen is used in a scanning electron microscope to get quantitative elemental analysis?
Q. 36 – Q. 65 carry two marks each.
A metal powder with an apparent density of 2.5 g/cm^{3} was compacted in a cylindrical die to a green density of 5.5 g/cm^{3}. If the height of the green sample was 12 mm, then the fill height of powder (in mm) would have been _______
A tensile specimen was deformed to a true strain of 0.405. The change in the gauge length was 5 mm. The final gauge length of the specimen, in mm, is
If is a position vector relative to the origin in three dimensional space, then is
The activity coefficient of Q in a liquid QR alloy is represented by the following equation at a given temperature.
What is the activity of Q in an alloy of composition x_{R} = 0.6 at the same temperature? _______
Two CuNi alloys, one with 47 wt.% Ni and the other with 53 wt.% Ni, are kept in separate crucibles and are allowed to equilibrate at the same temperature T1 between the liquidus and the solidus. The two alloys have
Dissociation of a dislocation into two partials in an FCC metal is given by the following equation.
On which plane do these two partial dislocations lie?
Match the types of corrosion in Group I with their examples in Group II.
What is the theoretical requirement of air (in m^{3} at STP) for the complete combustion of 100 m^{3} (at STP) of a fuel consisting of pure CH_{4}? Assume that air contains 21 vol.% of oxygen. _______
An electrolytic refining cell for copper consists of an alloy with activity of copper ^{a}C_{u} = 0.8 as the anode, and pure copper as the cathode. What is the absolute value of the cell potential (in millivolts) at 25°C, given that copper is divalent? Faraday constant is 96500 C/mol and the universal gas constant is 8.314 J/(mol.K). _______
Match the alloy names listed in Group I with the main elements present in them listed in Group II.
What is the hydrostatic stress for the state of stress represented by σ_{ij} given below? _______
Assume that Sievert's law holds for solubility of hydrogen dissolved in a thin metal foil. If the partial pressure of hydrogen in contact with the foil is increased by a factor of 4, the solubility increases by a factor of _______
A body starts yielding when it is subjected to a stress state with principal stresses of 250 MPa, 50 MPa and −50 MPa. What is the yield strength of the material, in MPa, if Tresca yield criterion is obeyed? _______
Determine the correctness or otherwise of the following Assertion(a) and Reason (r):
Assertion (a): Deoxidation and decarburisation of liquid steel are done by vacuum treatment process.
Reason (r): Decreased partial pressure of CO(g) promotes deoxidation and decarburisation.
In a sand casting of a rectangular slab, the thickness of the solidified layer after 2 minutes is known to be 3 cm. Based on Chvorinov's rule, the solidified thickness (in cm) after 4 minutes is _______
A rod of a metal with Young’s modulus of 200 GPa is pulled in tension to a stress of 400 MPa. What is the elastic strain (in %) that is recovered, when the rod is completely unloaded? _______
Match the following strengthening methods (Group I) in metallic alloys with typical mechanisms responsible (Group II) for them.
Match the operations listed in Group I with the types of processes listed in Group II.
Determine the correctness or otherwise of the following Assertion (a) and Reason (r).
Assertion (a): Peak aging time for an Al4 wt.% Cu alloy is indicated by a maximum in the hardness.
Reason (r): The maximum volume fraction of the θ precipitates is formed at the peak aging time.
Consider a steady state heat flux across a rectangular slab composed of two layers of equal width as shown in the figure below. The thermal conductivities are in the ratio of K_{2}/K_{1}= 10. If the first layer experiences a temperature drop (T_{1} − T_{2}) of 50 K, what is the temperature drop (T_{3} − T_{3}), in K, across the second layer? _______
Determine the correctness or otherwise of the following Assertion (a) Reason (r)
Assertion (a): During welding of aluminium alloys by the gas tungsten arc welding process, direct current reverse polarity (DCRP) mode is used.
Reason (r): DCRP facilitates breaking up of the oxide film on the workpiece surface.
Match the elements in Group I with their corresponding crystal structures in Group II.
The atomic radius of aluminium is 1.431 Å. The interplanar spacing of (111) planes in aluminium, in Å, is _______
The flow curve of an annealed metal is expressed as σ = 200^{ε0.25} , where σ is in MPa. If a rod of this metal is subjected to a true strain of ε = 0.3 by extrusion, the ideal plastic work of deformation per unit volume (in MJ/m^{3}) is _______
Two phases α and β are in thermodynamic equilibrium. If x and y are the only components present in the phases α and β and if represents the chemical potential of component i in phase j, then the condition for equilibrium is
The important factors for producing low silicon pig iron in a blast furnace are
The following power series P(x) will converge absolutely if x is less than:
The specific heat (Cp) of pure iron expressed in J/(mol.K) as a function of temperature T (in K) is given as:
C_{p} = 17.49 + 24.77 × 10^{3} T
What is the change in the enthalpy of pure iron (in J/mol) when it is heated from 25°C to 700°C? _______
The magnitude of the gradient of the function f(x, y) = x^{2} + y^{2} + xy+ x evaluated at (1, 1) is _______
A glass fibre reinforced epoxy composite is made with 60 wt.% unidirectional continuous glass fibres. The elastic moduli of the glass fibre and the epoxy matrix are 72.5 and 2.4 GPa, respectively. What is the elastic modulus of this composite along the fibre direction, in GPa? The densities of glass fibre and epoxy are 2.58 g/cm3 and 1.14 g/cm^{3}, respectively. _______
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