GATE 1991 Computer Science and Information Technology (CS) Question Paper with Answer Key pdf is available for download. The exam was conducted by IIT Madras. The question paper comprised a total of 17 questions from General Aptitude and Computer Science and Information Technology (CS) topics.
GATE 1991 Computer Science and Information Technology (CS) Question Paper with Answer Key PDF
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).
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).
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.
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 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).
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).
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