Gate-GATE 2017/2018 Metallurgical Sample Test,Sample questions

Question:
 and B are friends. They decide to meet between 1 PM and 2 PM on a given day. There is a condition that whoever arrives first will not wait for the other for more than 15 minutes. The probability that they will meet on that day is

1.1/4

2.1/16

3. 7/16

4.9/16


Question:
 At equilibrium spacing in a crystalline solid, which of the following is true for net inter-atomic force (F) and potential energy (U)

1. F is zero and U is zero

2.F is zero and U is minimum

3.F is minimum and U is zero

4.F is minimum and U is minimum


Question:
 Copper can be reduced from acidic copper sulphate solution by

1.Silver

2.Iron

3.Carbon

4.Lead


Question:
 Determine the correctness or otherwise of the following Assertion (a) and Reason (r). 
Assertion : During rolling, front tension and (or) back tension are (is) employed to decrease rolling load. 
Reason : Roll pressure decreases due to lowering of flow stress as a result of front tension/back tension.

1. a is false but r is true

2.a is true and r is also true, but r is not the reason for a

3.a is true and r is also true, and r is the reason for a

4.a is true but r is false


Question:
 Given that v is a vector field and f is a scalar field, match the equations in Group I with their physical meaning in Group II
Group I                         Group II
P. div (v) = 0                 1 . I r r otational
Q. curl (grad(f)) = 0     2 . Incompressible
R. div (grad(f)) = 0       3 . Potential
S. v = grad(f)                4 . Laplace equation

1.P-1, Q-2, R-3, S-4

2. P-2, Q-1, R-4, S-3

3.P-1, Q-3, R-2, S-4

4.P-2, Q-1, R-3, S-4


Question:
 Match the defects listed in Group I with the processes listed in Group II
Group I                      Group II
P. Cold shut             1. Rolling
Q. Earing                  2. Forging
R. Alligatoring         3. Deep drawing
S. Shrinkage porosity  4. Fusion welding

1.P-2, Q-4, R-1, S-4

2.P-2, Q-4, R-3, S-1

3. P-2, Q-3, R-1, S-4

4.P-4, Q-1, R-2, S-3


Question:
 One of the legacies of the Roman legions was discipline. In the legions, military law prevailed and discipline was brutal. Discipline on the battlefield kept units obedient, intact and fighting, even when the odds and conditions were against them. 
Which one of the following statements best sums up the meaning of the above passage?

1.Thorough regimentation was the main reason for the efficiency of the Roman legions even in adverse circumstances.

2.The legions were treated inhumanly as if the men were animals.

3.Discipline was the armies' inheritance from their seniors.

4.The harsh discipline to which the legions were subjected to led to the odds and conditions being against them.


Question:
 The property of a material that CANNOT be significantly changed by heat treatment is

1.Yield strength

2.Ultimate tensile strength

3.Ductility

4.Elastic modulus


Question:
 The sulphide capacity (CS) of liquid slag of composition 55 wt.% CaO, 20 wt.% SiO2, 5 wt.% Al2O3, and 10 wt.% MgO is given by the following equation
log CS = 3.44 (XCaO + 0.1 XMgO - 0.8 XAl2O3 - XSiO2) - (9894/T) + 2.05 
where, X is mole fraction of the respective components. Atomic weights of Ca, Mg, Si, Al and O are 40, 24, 28, 27 and 16 respectively. 
The value of CS at 1900 K is

1.0.0009

2.0.009

3.0.09

4.0.9


Question:
 When a zinc metal rod is immersed in dilute hydrochloric acid, it results in

1.Evolution of hydrogen

2.Evolution of chlorine

3.Evolution of oxygen

4.No evolution of any gas


Question:
 Which one of the following methods is NOT used for numerical integration?
A. Rectangular ruleB. Trapezoidal ruleC. Simpson's ruleD. Cramer's rule

1.Rectangular rule

2.Trapezoidal rule

3.Simpson's rule

4.Cramer's rule


Question:
A fluid is flowing with a velocity of 0.5 m/s on a plate moving with a velocity of 0.01 m/s in the same direction. The velocity at the interface of the fluid and plate is

1.0.0 m/s

2. 0.01 m/s

3.0.255 m/s

4.0.50 m/s


Question:
A is a 2 * 2 matrix with det A = 2. The det (2A) is

1.4

2.8

3.32

4.16


Question:
A material with grain size of ASTM No. 6 has a lattice frictional stress 100 MN/m2 and locking parameter (Hall-Petch constant) 0.10 MN/m3/2 
Grain size of the material is approximately

1.45 μm

2.35 μm

3.4.5 μm

4.3.5 μm


Question:
A material with grain size of ASTM No. 6 has a lattice frictional stress 100 MN/m2 and locking parameter (Hall-Petch constant) 0.10 MN/m3/2 
Yield strength of the material is approximately

1.100 MPa

2.115 MPa

3.165 MPa

4.215 MPa


Question:
A peak in the X-ray diffraction pattern is observed at 2θ = 78o, corresponding to {311} planes of an fcc metal, when the incident beam has a wavelength of 0.154 nm. The lattice parameter of the metal is approximately

1.0.6 nm

2. 0.4 nm

3.0.3 nm

4. 0.2 nm


Question:
A polymer matrix composite is reinforced with long continuous ceramic fibres aligned in one direction. The Young's moduli of the matrix and fibres are Em and Ef respectively, and the volume fraction of the fibres is f. Assuming iso-stress condition, Young's modulus of the composite EC in a direction perpendicular to the length of fibres, is given by the expression

1.EC = (1 - f)Em + fEf

2. EC = (1 - f)Ef + fEm

3.1/EC = (1 - f)/Em + f/Ef

4.1/EC = (1 - f)/Ef + f/Em


Question:
A steel ball (density ρsteel = 7200 kg/m3) is placed in an upward moving liquid Al (density ρAl = 2360 kg/m3, viscosity μAl = 1 * 10“3 Pa.s and Reynolds number = 5 * 105). The force (F) exerted on the steel ball is expressed as 
F = f π R2(ρAl v2/2)
where, f is friction factor (=0.2), v is the velocity of liquid Al and R is the radius of steel ball.
The force exerted on the steel ball is

1.8.32 N

2.6.70 N

3. 1.67 N

4.0.52 N


Question:
Arrange the following in terms of increasing severity of quench 
P. Oil quenching 
Q. Water quenching 
R. Water quenching with agitation 
S. Brine quenching

1. P < Q < R < S

2.Q < R < P < S

3.C. P < Q < S < R

4.Q < P < R < S


Question:
Arrange the following in terms of increasing severity of quench 
P. Oil quenching 
Q. Water quenching 
R. Water quenching with agitation 
S. Brine quenching

1. P < Q < R < S

2.Q < R < P < S

3.C. P < Q < S < R

4.Q < P < R < S


Question:
As temperature increases, the electrical resistivities of pure metals (ρm) and intrinsic semiconductors (ρs) vary as follows

1.Both ρm and ρs increase

2.Both ρm and ρs decrease

3.ρm increases and and ρs decreases

4.ρm decreases and and ρs increases


Question:
At x = 0.5, the polynomial x2(1-x)2 has

1.No extrema

2.A saddle point

3.A minima

4.A maxima


Question:
Choose the most appropriate alternative from the options given below to complete the following sentence: 
If the tired soldier wanted to lie down, he ___ the mattress out on the balcony.

1.should take

2.shall take

3.should have taken

4.will have taken


Question:
Choose the most appropriate word from the options given below to complete the following sentence: 
Given the seriousness of the situation that he had to face, his ___ was impressive.

1.beggary

2.nomenclature

3.jealousy

4.nonchalance


Question:
Consider a reaction with activation energy of 8.314 kJ/mol that takes place at 300 K. If the reaction rate is to be tripled, the temperature of the reaction should be

1.174.5 K

2.447.5 K

3.600.5 K

4.847.5 K


Question:
During LD blow in steelmaking the impurity that gets removed first is

1.Carbon

2.Phosphorous

3.Manganese

4.Silicon


Question:
During the solidification of a pure metal, it was found that dendrites are formed. Assuming that the liquid-solid interface is at the melting temperature, the temperature from the interface into the liquid

1. Decreases

2.Increases

3.Remains constant

4.Increases and then decreases


Question:
Floatation beneficiation is based on the principle of

1.Mineral surface hydrophobicity

2.Gravity difference

3.Chemical reactivity

4.Particle size difference


Question:
Fracture stress for a brittle material having a crack length of 1 μm is 200 MPa. Fracture stress for the same material having a crack length of 4 μm is

1.200 MPa

2.150 MPa

3.100 MPa

4.50 MPa


Question:
Hot metal at 1700 K is poured in a sand mould that is open at the top. Heat loss from the liquid metal takes place by

1.Radiation only

2.Radiation and conduction only

3.Radiation and convection only

4.Radiation, conduction and convection


Question:
Identify the correct combination of the following statements 
P. Bessemer converter can be used in copper smelting 
Q. The Mond process for nickel involves reaction of metal with H2 gas 
R. Roasted ZnS concentrates can be smelted in a blast furnace 
S. Magnesium metal can be produced by electrolysis of sea water

1.P, R and S

2.P, Q and R

3.P and Q

4.Q and S


Question:
Identify the correct combination of the following statements 
P. Hydrogen electrode is a standard used to measure redox potentials 
Q. Activation polarization refers to electrochemical processes controlled by reaction sequence at metal-solution interface 
R. Potential-pH diagrams can be used to predict corrosion rates of metals 
S. Cathodic protection can use sacrificial anodes such as magnesium

1.P, Q and R

2. Q, R and S

3.P, Q and S

4. P, R and S


Question:
If (1.001)1259 = 3.52 and (1.001)2062 = 7.85, then (1.001)3321 =

1.2.23

2.4.33

3.11.37

4. 27.64


Question:
If d is the inter-planar spacing of the planes {h k l}, the inter-planar spacing of the planes {nh nk nl}, n being an integer, is

1.d

2.d/n

3.nd

4. d/n2


Question:
In a production facility, iron rods are made with a mean diameter of 6 cm and standard deviation of 0.02 cm. If a large number of rods are tested, the approximate percentage of rods whose sizes fall in the range of 5.98 cm to 6.02 cm is

1.68

2.75

3.90

4.99.7


Question:
Match the phases of steel in Group I with the crystal structures in Group II
Group I               Group II
P. Martensite     1. bcc
Q. Cementite     2. fcc
R. Austenite       3. bct
S. Ferrite            4. Orthorhombic

1.P-3, Q-4, R-1, S-2

2.P-2, Q-3, R-1, S-4

3.P-3, Q-4, R-2, S-1

4.P-4, Q-3, R-2, S-1


Question:
Match the phenomena listed in Group I with the possible mechanisms in Group II
Group I                                Group II
P. Fatigue                        1. Grain boundary sliding
Q. Creep                          2. Slip band extrusion and intrusion
R. Strain hardening        3. Cottrell atmosphere
S. Yield point phenomenon  4. Dislocation interaction

1.P-2, Q-3, R-4, S-1

2.P-2, Q-4, R-3, S-1

3. P-2, Q-1, R-4, S-3

4.P-1, Q-2, R-4, S-3


Question:
Match the principles given in Group I with corresponding corrosion terminology in Group II
Group I                                   Group II
P. Electrode polarization 1. Dezincification
Q. Passivity                      2. Intergranular attack
R. Selective leaching         3. Over voltage
S. Grain boundary precipitation 4. Surface oxide film

1.P-3, Q-4, R-1, S-2

2.P-3, Q-4, R-2, S-1

3.P-4, Q-2, R-1, S-3

4.P-2, Q-1, R-4, S-3


Question:
Match the processes in Group I with the objectives in Group II
Group I                              Group II
P. Vacuum Arc Degassing (VAD) 1. Primary iron making
Q. LD                           2. Secondary steel making
R. COREX                    3. Direct smelting
S. Blast Furnace        4. Primary steel making

1. P-3, Q-4, R-2, S-1

2.P-4, Q-3, R-1, S-2

3.P-3, Q-2, R-1, S-4

4.P-2, Q-4, R-3, S-1


Question:
One of the parts (A, B, C, D) in the sentence given below contains an ERROR. Which one of the following is INCORRECT? 
I requested that he should be given the driving test today instead of tomorrow.

1. requested that

2.should be given

3. the driving test

4.instead of tomorrow


Question:
Radiography technique of detecting defects is based on the principle of

1.Diffraction

2.Reflection

3.Interference

4.Absorption


Question:
Raju has 14 currency notes in his pocket consisting of only Rs. 20 notes and Rs. 10 notes. The total money value of the notes is Rs. 230. The number of Rs. 10 notes that Raju has is

1.5

2.6

3.9

4.10


Question:
Regarding recrystallization, which one of the following statements is NOT correct?

1.Higher the amount of cold work, lower is the recrystallization temperature

2.Higher the recovery, higher is the recrystallization temperature

3.Higher the temperature of cold work, higher is the recrystallization temperature

4.Finer the initial grain size, higher is the recrystallization temperature


Question:
The flow stress  of an alloy varies with strain rate  MPa. When the alloy is hot extruded from 10 cm diameter to 5 cm diameter at a speed of 2 cm/s, the flow stress is

1.1000 MPa

2.105 MPa

3. 150 MPa

4.1050 MPa


Question:
The reduction of FeO with CO gas in co-current flow is given by the following equation: 
FeO + CO = Fe + CO2            ∆Go = 8120 J at 1173 K 
The ratio of pCO/pCO2 for this reaction at 1173 K is

1. 0.0

2.0.25

3.0.44

4.2.3


Question:
The riser is designed such that the melt in the riser solidifies

1. Before casting solidifies

2.At the same time as casting solidifies

3.After casting solidifies

4.Irrespective of the solidification of the casting


Question:
The strain hardening behaviour of an annealed rod during cold rolling is given by  = 700(ε)0.2 MPa, where  is the flow stress at strain ε.
Flow stress after 50% reduction in area of the annealed rod on cold rolling is approximately

1.750 MPa

2.650 MPa

3.609 MPa

4.559 MPa


Question:
The temperature field of a slab is given by T = 400 - 50z exp(-t - x2 - y2). The temperature gradient in y-direction is

1.100yz exp(-t - x2 - y2)

2.-100yz exp(-t - x2 - y2)

3.100xz exp(-t - x2 - y2)

4.-100xz exp(-t - x2 - y2)


Question:
There are eight bags of rice looking alike, seven of which have equal weight and one is slightly heavier. The weighing balance is of unlimited capacity. Using this balance, the minimum number of weighings required to identify the heavier bag is

1.2

2.3

3.4

4.8


Question:
What does the solution of the following ordinary differential equation represent?
y dy/dx + x = 0

1.A parabola

2. A circle

3.An ellipse

4.A hyperbola


Question:
Which of the following is NOT a fusion welding process?

1.Arc welding

2.Gas welding

3. Resistance welding

4.Friction stir welding


Question:
Which of the following is NOT a fusion welding process?

1.Arc welding

2.Gas welding

3. Resistance welding

4.Friction stir welding


Question:
Which one is NOT an agglomeration process?

1.Nodulizing

2.Briquetting

3.Roasting

4.Pelletizing


Question:
Which one of the following is an equilibrium defect?

1.Vacancies

2.Dislocations

3.Stacking faults

4.Grain boundaries


Question:
Which one of the following options is the closest in meaning to the word given below? 
Latitude

1. Eligibility

2.Freedom

3.Coercion

4.Meticulousness


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