GATE AR format:nat PYQs & Answers — Page 14 — Exam Papers

Questions 131–140 of 180. Imported answers require independent review unless marked reviewed.

Topic practice 180 questionsPage 14 of 18

A cone, with a base of 10 cm diameter and axis of 12 cm, is lying on Horizontal Plane (HP) along its generator. The internal angle which the base of the cone makes with the HP is ______ degrees.

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A public utility building of 500 m² was constructed 5 years before, on a site of 1 hectare. The present value of open land in that location is Rs. 100/m² and present construction cost of such building is Rs. 250/m². If the value of the building is assumed to be depreciating at a constant rate of 6 percent per annum, then the present value of the property using ‘Valuation by Cost Method’ is ______ (in Rs. lakhs) (rounded off to one decimal place).

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A residential area of 20 hectares is planned for three different types of plots of 500 m², 300 m² and 200 m² with numbers of plot in each category are 100, 120 and 150 respectively. The rest of the area is allocated for roads and facilities such as schools, shops and parks. Each plot has one dwelling unit and the average household size is 5 persons. The net residential density of the area in persons per hectare is ________.

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In a single lane road, traffic volume of 100 vehicle/h moving at 20 km/h, comes to a halt due to an accident. If jam density is 150 vehicle/km, the velocity of the shock wave generated (in absolute value) is ______ km/h.

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In a site map, a rectangular residential plot measures 150 mm × 40 mm, and the width of the front road in the map measures 16 mm. Actual width of the road is 4 m. If the permissible F.A.R is 1.2, the maximum built-up area for the residential building will be ________ m².

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The internal dimension of a room is 10m × 10m × 4m (height). The total area of the doors and windows are 16 m². Keeping the doors and windows closed, the reverberation time of the room becomes 1.2 second. Assume all the interior surfaces including doors and windows have same sound absorption coefficient. If all the doors and windows of the room are kept fully open, the reverberation time will be ________ second (rounded off to two decimal places).

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A depressed portion of a land is identified by three closed contours, as shown in the figure below. The area bounded by three contour lines are 6 m², 24 m² and 96 m² respectively.

Diagram for Architecture and Planning question 47

The contour interval is 1 m. Using prismoidal method, the volume of the earth needed to fill the land depression is ________ m³.

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Solar panels are proposed to be installed on a building roof top to generate electricity. The size of each solar panel is 2 m². The efficiency of each panel is 75%. The orientations of the solar panel and related solar data are given in the table below.

Orientation | No. of Panel | Average daily solar radiation in W/m² | Average solar hours per day South | 10 | 400 | 4 West | 5 | 300 | 2

As per the above proposal ________ kWh solar power will be generated daily. (rounded off to one decimal place)

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A power shovel is having 1.8 m³ excavation output per batch of operation. The average cycle time of the batch operation is 45 seconds. The lost time per hour of the excavation activity is 10 minutes. Assume six working hours of operation per day. The amount of soil excavated by the power shovel per day is ________ m³ (rounded off to two decimal places).

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A room having dimension 12 m × 10 m × 3.5 m is required to be mechanically ventilated by air-conditioner. The temperature difference between outdoor ambient air and the supply air is 12 °C. Consider three air exchanges per hour. The volumetric specific heat of the air is 1250 J/m³ °C. Assume one ton of refrigeration (TR) is equal to 3.5 kW. The capacity of the air-conditioner for the room in TR will be ________.

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