Metallurgical Engineering Gate 2021 Questions with Answer

Ques 14 GATE 2021

A blast furnace uses hematite ore with 80% Fe₂O₃ and 20% gangue materials. It uses 600 kg coke per ton of hot metal. The coke contains 85% C and 15% ash. The composition of hot metal is 95.5% Fe and 4.5% C. The weight of iron ore used and slag produced per ton of hot metal respectively, are:
Given: Atomic weight: O = 16, C = 12, N = 14, Fe = 56
All the compositions are in wt.%.
1 ton = 1000 kg
Assume that the gangue materials of the ore and ash content of coke form slag while Fe₂O₃ in the ore is consumed in making hot metal.

Ques 15 GATE 2021

Five persons P, Q, R, S and T are to be seated in a row, all facing the same direction, but not necessarily in the same order. P and T cannot be seated at either end of the row. P should not be seated adjacent to S. R is to be seated at the second position from the left end of the row. The number of distinct seating arrangements possible is:

Ques 16 GATE 2021

The front door of Mr. X's house faces East. Mr. X leaves the house, walking 50 m straight from the back door that is situated directly opposite to the front door. He then turns to his right, walks for another 50 m and stops. The direction of the point Mr. X is now located at with respect to the starting point is

Ques 17 GATE 2021

Given below are two statements 1 and 2, and two conclusions I and II.
Statement 1: All entrepreneurs are wealthy.
Statement 2: All wealthy are risk seekers.
Conclusion I: All risk seekers are wealthy.
Conclusion II: Only some entrepreneurs are risk seekers.
Based on the above statements and conclusions, which one of the following options is CORRECT?

Ques 18 GATE 2021

Which one of the following is 'center split' defect in rolling operation?

A

B

C

D

Ques 19 GATE 2021

Single crystal turbine blades of nickel-based superalloys for aero-engines are manufactured using:

Ques 20 GATE 2021

Match the forming process (in Column I) with its name (in Column II):

Ques 21 GATE 2021

Match the terms (in Column I) with the unit process (in Column II)

Ques 22 GATE 2021

A continuous fillet weld is made using a 3000 W welding machine. At a travel speed of 6 mm s^-1, the cross-sectional area (in mm²) of the weld is: _______ (round off to nearest integer).
Given: The unit energy required to melt the metal is 6 J mm^-3 Heat transfer factor = 0.6 Melting factor = 0.5

Ques 23 GATE 2021

Liquid iron is cast into a spherical sand mold (6 cm radius) and a cubical sand mold (12 cm edge length). If solidification time is 60 minutes in the spherical casting, the time (in minutes) required to solidify in the cubical casting is: _______ (round off to nearest integer).

Ques 24 GATE 2021

In a material, a shear stress of 100 MPa is required to bow a dislocation line between precipitates with a spacing of 0.2 µm. If the spacing between the precipitates is increased to 0.5 µm, the shear stress (in MPa) to bow the dislocation would be: _______ (round off to nearest integer).

Ques 25 GATE 2021

A metal plate is in a state of plane strain (ε_zz = 0) with σ_xx = σ_yy ≠ 0 and τ_xy = τ_xz = τ_yz = 0. If the Poisson's ratio is 0.3, the ratio, σ_zz / σ_xx is _______ (round off to 1 decimal place).

Ques 26 GATE 2021

An infinite metal plate has a central through-thickness crack of length 80 / π mm. The maximum applied stress (in MPa) that the plate can sustain in mode I is: _______ (round off to nearest integer). Assume: Linear elastic fracture mechanics is valid Given: Fracture toughness, K_IC = 20 MPa m^1/2