GATE 2019 Architecture and Planning (AR) 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 Architecture and Planning (AR) topics.
GATE 2019 Architecture and Planning (AR) Question Paper with Answer Key PDF - Afternoon Session
Water with a density of 1000 kg/m3 comes out of an industrial condenser through a horizontal pipe of 15 cm radius at the flow rate of 4.5 m3/min. The outlet of the pipe is connected to a coaxial diffuser of 0.5 m length using a flange to raise the pressure of water to atmospheric condition without any backflow. The inner radius (\(r\), in m) of the diffuser cross-section is expressed as
\[ r = 0.15 + 0.4x^2 \]
where, \(x\) represents the axial distance of the diffuser in m, from its inlet. Considering frictionless flow, the magnitude of the force exerted by the diffuser on the flange is ________ N (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).
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 inventory holding cost of an item is Rs. \(0.50\) per unit per month and the ordering cost per order is Rs. \(550\). A stockist needs to supply \(10000\) units of the item per year to the customers. Assume demand is fixed and the shortage cost is infinite. Using the classical economic order quantity (EOQ) model, the optimal lot size is ________ units per order (rounded off to the nearest integer).
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).
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