GATE 2013 Production and Industrial Engineering (PI) - Session 3 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 3 topics.
GATE 2013 Production and Industrial Engineering (PI) - Slot 3 Question Paper with Answer Key PDF -Forenoon Session
GATE 2013 Production and Industrial Engineering (PI) - Session 3 Question Paper PDF
GATE 2013 Production and Industrial Engineering (PI) - Session 3 Answer Key PDF
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).
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).
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).
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 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).
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.
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