GATE AR format:nat PYQs & Answers — Page 5 — Exam Papers

Questions 41–50 of 180. Imported answers require independent review unless marked reviewed.

Topic practice 180 questionsPage 5 of 18

There are 16 similar machines located radially and equally distanced from a fixed sound receiver. While operating, each machine records 60 dB sound level at the receiver. Assuming 70 dB to be the highest sound level allowed as per the industrial sound pollution norms, the total number of machines allowed to operate simultaneously without violating the norms is ________________. (rounded off to the nearest integer)

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The spot speeds (in km/h) of eight vehicles in a traffic stream are 42, 52, 56, X, 53, 62, 65, and 48. X is the spot speed of the fourth vehicle. The Time Mean Speed of the traffic stream is 56.25 km/h. After determining the value of X, the calculated Space Mean Speed of the traffic stream is ______________ km/h. (rounded off to two decimal places)

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An individual choses a transport mode for a particular trip based on three attributes i.e., cost of journey (X), In-vehicle travel time to each destination (Y), and Out-of-vehicle time taken to access mode at respective stops (Z). The values for these attributes for three modes Rail, Bus and Para-transit are given in the table. If the general utility (U) equation is U = − 0.5X − 0.3Y − 0.4Z, using Logit model, the estimated probability of choosing Bus is ______________. (rounded off to two decimal places)

Mode | X = Cost of journey (in INR) | Y = In-Vehicle travel time (in min) | Z = Out-of-Vehicle travel time (in min) Rail | 20 | 20 | 10 Bus | 10 | 40 | 7.5 Para-transit | 15 | 35 | 5

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A four-arm uncontrolled un-signalized urban intersection of both way traffic is illustrated in the figure. Vehicles approaching the intersection from the directions A, B, C, and D can move to either left, right, or continue in straight direction. No U-turn is allowed. In the given situation, the maximum number of vehicle crossing conflict points for this intersection is ______________. (answer in integer)

Diagram for Architecture and Planning question 81

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A ramp with a slope of 1:12 is required for wheelchair access. Intermediate landings of length 1.5 m each have to be provided after every 9 m running length. The running length of a straight ramp including landing, to negate a level difference of 900 mm vertical height, in m, is ____________ (round off to two decimal places).

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For the beam shown below, ignoring the self-weight, the maximum hogging moment (in kN·m) generated for the loads indicated is ____________ (rounded off to one decimal place).

Diagram for Architecture and Planning question 43

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At present, the cost of a new office equipment is 50,000 (in Indian Rupees). It has 15% salvage value after a useful life of 5 years. Using straight line method of depreciation, the book value of the equipment 3 years from now, in Indian Rupees, will be ____________ (in integer).

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The network diagram of a construction project is shown in the following Figure. The duration of each activity, in days, and the early start time of the project are denoted in the diagram. The total project duration along the critical path, in days, is ____________(in integer).

Diagram for Architecture and Planning question 45

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The design of a 1200 capacity concert hall considers 1/3rd female audience and 2/3rd male audience. The Table below shows the guideline for calculating Water Closet requirements.

Fixture	Male	Female
Water closet	1 number per 100 up to 400 and over 400, 1 number for every 250 or part thereof	3 numbers per 100 up to 200 population and over 200, 2 numbers for every 100 or part thereof

Using the above guideline, the number of Water Closets required for the total audience is ____________ (in integer).

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A declining Industrial Town has proposed to improve water sustainability by reducing stormwater runoff through change of land use land cover (LULC), as shown in the Table below, to attract new residents.

LULC	Runoff Coefficient	Existing Area in hectare	Proposed Area in hectare
Industrial	0.7	1500	800
Residential	0.5	1000	1200
Park and Playgrounds	0.25	1200	1000
Forest	0.15	300	1000

Considering a flat topography and zero additional runoff from the adjoining areas, the reduction in run-off generation for a 400 mm rainfall event in the industrial town for the proposed intervention, in cubic meters, is __________×10⁶ (rounded off to two decimal places).

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