GATE CE format:nat PYQs & Answers — Page 5

Questions 41–50 of 495. Imported answers require independent review unless marked reviewed.

Topic practice 495 questionsPage 5 of 50

A soil sample has following properties: Natural water content = 30 % Plasticity index = 40 % Liquidity index = 50 % The estimated plastic limit (in %) of the soil is ______ (rounded off to one decimal place).

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Traffic is moving on a 6-lane dual carriageway road. Traffic volume per direction during peak hour (08:00 am to 09:00 am) is 600 veh/h. It is assumed that the traffic is distributed uniformly across the lanes in each direction. Just at 08:00 am, a truck goes out of order on the middle lane of one side, thus disrupting the traffic on that lane in one direction. The lane capacity under normal conditions is 200 veh/h/ln and under queue formation it is 160 veh/h/ln. The traffic resumes at 08:30 am on removing the truck from the middle lane. Hourly traffic volume after 09:00 am reduces to 500 veh/h/dir.

The number of vehicles in the queue at 10:00 am is _____ (in integer).

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For a given traffic stream, the speed-density relationship is given as:

where

is the mean speed (in km/h), and

is the density (in veh/km).

Considering

as 45 km/h, and

as 200 veh/km, the maximum flow (in veh/h) for the given stream is ______ (rounded off to the nearest integer).

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In a bitumen mix, the percentage by weight of coarse aggregate, fine aggregate, filler, and bituminous binder is 58, 25, 12, and 5, respectively. The corresponding specific gravity of these materials is 2.68, 2.45, 2.42, and 1.15. The bulk specific gravity of the mix is 2.2.

The Void Filled with Bitumen (VFB, in percentage) is __________ (rounded off to the nearest integer).

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A vertical curve is formed by a descending gradient of 1 in 40 meeting an ascending gradient of 1 in 50. Consider the following:

Stopping Sight Distance (SSD) = 90 m

Height of headlight of a vehicle above the road surface = 0.75 m

Headlight beam angle with respect to the longitudinal axis of the vehicle = 1.2°

Based on the sight distance criteria, the design length (in m) of the vertical curve is ______ (rounded off to the nearest integer).

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The following consecutive readings (in m) were taken with a dumpy level and a levelling staff at a common interval of 20 m:

0.35; 1.030; 1.925; 2.825; 3.730; 4.850; 1.045; 2.05; 3.30; 4.580

The dumpy level was shifted after taking the sixth reading.

The gradient (in %) of the ground between the first and the last location of the reading is _____ (in integer).

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Interior angles measured at the locations of a closed traverse ABCDA are given in table below.

Location	Interior angle
A	71° 1′ 40″
B	104° 54′ 23″
C	107° 4′ 10″
D	76° 20′ 42″

The total error in the measured angles (in degrees) is ____________ (rounded off to three decimal places).

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An Activated Sludge Process (ASP) has an inlet wastewater flowrate of 2000 m³/day with a Biochemical Oxygen Demand (BOD) concentration of 250 mg/l. It produces treated wastewater containing 20 mg/l BOD. The aeration tank has a working volume of 600 m³ and a biomass concentration of 3000 mg/l. Biological Sludge Residence Time (BSRT) of the system is 6 days. The influent wastewater and the treated effluent from the system have negligible concentrations of biomass. The sludge recycle line from the bottom of the Secondary Sedimentation Tank (SST) to the inlet of the aeration tank has a flowrate of 600 m³/day.

To maintain equilibrium, the flowrate (in m³/day) of sludge that is to be wasted from the system is _____ (in integer).

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The analysis of major cations and anions in a water sample collected from a city’s water supply is given below. Ions present in minor concentrations are not given.

Anions
Concentration (mM)	1.5	0.5	1.0	0.01
Cations
Concentration (mM)	2	0.5	0.25	0.02

(in %) present in the total free chlorine in the water is ____ (rounded off to the nearest integer).

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The intensity-duration relationship for a rainfall on a rectangular plot ABCD of area 7 ha (1 ha = 10⁴ m²) can be modeled by the following equation:

where I is rainfall intensity (in cm/h), and t is the duration (in minutes) of rainfall. The average runoff coefficient over the area is 0.60. The time of entry (in minutes) to the outfall from the corners A, B, C, and D are 10, 20, 15 and 25, respectively.

The design flowrate (in m³/h) of the storm-sewer at the outfall is _____ (in integer).

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GATE CE format:nat PYQs

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Question 64