GATE 2019 Metallurgical Engineering (MT) Question Paper with Answer Key pdf is available for download. The exam was conducted by IIT Madras on February 3 in the Afternoon Session. The question paper comprised a total of 65 questions from General Aptitude and Metallurgical Engineering (MT) topics.
GATE 2019 Metallurgical Engineering (MT) Question Paper with Answer Key PDF- Afternoon Session
A drill bit during its lifetime can produce \(150\) through holes in a plate at a drill speed of \(200\) RPM. If the drill speed increases to \(300\) RPM, it can produce \(60\) through holes in the same plate before the drill bit fails. Assuming all other parameters remain constant, the value of the exponent in Taylor's tool life equation is ________ (rounded off to 2 decimal places).
The actual demand for castings in a factory is \(500\) units and \(635\) units for the months of January 2026 and February 2026, respectively. The forecasted demand for January 2026 is \(250\) units and the smoothing constant is \(0.7\). Using the exponential smoothing method, the forecast of the demand for castings in March 2026 is ________ units (in integer).
A rigid closed vertical cylindrical vessel of 15 cm diameter contains 5 kg water at 80 °C with 10% quality. The water is heated till its temperature reaches 130 °C. Considering only a horizontal separated interface between liquid and vapor, the dip in the liquid level after the heating process is ________ cm (rounded off to 2 decimal places). Properties of water at various saturation temperatures are given in the table below.
T (°C)
vf (m3/kg)
vg (m3/kg)
uf (kJ/kg)
ug (kJ/kg)
80
0.001029
3.4053
334.97
2481.60
130
0.001070
0.66808
546.10
2539.50
T, v, and u are temperature, specific volume, and specific internal energy, respectively. Subscripts f and g represent saturated liquid and saturated vapor, respectively.
A welded square plate of 1 m \(\times\) 1 m is subjected to biaxial stress of magnitude 6.5 MPa and 25 MPa, as shown in the figure below. The ratio of the normal stress acting in the perpendicular direction of the weld to the shear stress of the weld is ________ (rounded off to 2 decimal places).
The activities of a PERT network and their corresponding activity time estimates (in weeks), namely optimistic (\(t_o\)), most likely (\(t_m\)), and pessimistic (\(t_p\)), are given in the table below.
Activity
\(t_o\)
\(t_m\)
\(t_p\)
1-2
2
4
12
1-3
2
4
6
1-4
3
4
11
2-5
3
6
9
3-4
2
5
14
3-5
3
3
3
4-5
3
6
15
5-6
2
5
8
The expected project length is ________ weeks (in integer).
Two rectangular surfaces both having 1 m2 area are placed perpendicular to each other with a common edge. One surface is hot, having a temperature of 1000 K and emissivity of 0.4, while the other is insulated and in radiant balance with a large surrounding room at 300 K. If the fraction of radiation leaving the hot surface which reaches the cold surface is 0.2, then the equivalent overall resistance for the radiation heat loss from the hot surface is _______ m-2 (rounded off to 2 decimal places).
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