GATE 2013 Production and Industrial Engineering (PI) - Session 4 Question Paper with Answer Key pdf is available for download. The exam was conducted by IIT Bombay on Feb-10 in the Forenoon Session. The question paper comprised a total of 65 questions from General Aptitude and Production and Industrial Engineering (PI) - Session 4 topics.
GATE 2013 Production and Industrial Engineering (PI) - Slot 4 Question Paper with Answer Key PDF -Forenoon Session
GATE 2013 Production and Industrial Engineering (PI) - Slot 4 Question Paper PDF
GATE 2013 Production and Industrial Engineering (PI) - Slot 4 Answer Key PDF
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).
A cylindrical pressure vessel made of steel has diameter of 3 m and wall thickness of 15 mm. For steel, Young's modulus and Poisson's ratio are 210 GPa and 0.3, respectively. The cylinder is designed such that the allowable normal strain at the outer cylindrical surface is equal to 0.00034. The permissible pressure in the tank is ________ kPa (rounded off to 1 decimal place).
A liquid comes out of the reactor of a chemical plant at 250 °C temperature with a flow rate of 100 LPM. The ambient temperature is 25 °C. Density and specific heat of the liquid remain constant at 1000 kg/m3 and 4.18 kJ/kg K, respectively, for the given range of temperature. The rate of exergy associated with the hot liquid stream at the exit of the plant is ________ kW (rounded off to 2 decimal places).
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.
In a deep drawing operation of a rectangular sheet metal, \(30\%\) stretching in length results in \(15\%\) reduction in thickness. Assuming volume constancy, the normal anisotropy of the sheet metal is ________ (rounded off to 2 decimal places).
An inward flow reaction turbine, having an outer diameter of \(1\) m, runs at \(600\) RPM. The normal component of absolute velocity at the inlet is \(10\) m/s. If the guide blade angle is \(15^{\circ}\), then the inlet vane angle of the runner is ________ degree (rounded off to 1 decimal place).
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