GATE CE 2021 PYQ

Seasoning of timber for use in construction is done essentially to

In case of bids in Two-Envelop System, the correct option is

The activity details for a small project are given in the Table. The total time (in days,in integer) for project completion is ________

Contractor X is developing his bidding strategy against Contractor Y. The ratio of Y's bid price to X's cost for the 30 previous bids in which Contractor X has competed against Contractor Y is given i

An equipment has been purchased at an initial cost of Rs. 160000 and has an estimated salvage value of Rs. 10000. The equipment has an estimated life of 5 years. The difference between the book values

The direct and indirect costs estimated by a contractor for bidding a project is Rs.160000 and Rs.20000 respectively. If the mark up applied is 10% of the bid price, the quoted price (in Rs.) of the c

Gypsum is typically added in cement to

A small project has 12 activities - N, P, Q, R, S, T, U, V, W, X, Y, and Z. The relationship among these activities and the duration of these activities are given in the Table. The total float of the

A 12-hour unit hydrograph (of 1 cm excess rainfall) of a catchment is of a triangular shape with a base width of 144 hour and a peak discharge of . The area of the catchment (in ,round off to the near

A tube-well of 20 cm diameter fully penetrates a horizontal, homogeneous and isotropic confined aquifer of infinite horizontal extent. The aquifer is of 30 m uniform thickness. A steady pumping at the

Two reservoirs are connected through a homogeneous and isotropic aquifer having hydraulic conductivity (K) of 25 m/day and effective porosity of 0.3 as shown in the figure (not to scale). Ground water

The value of abscissa (x) and ordinate (y) of a curve are as follows: By Simpson's rule, the area under the curve (round off to two decimal places) is ______________

The hyetograph in the figure corresponds to a rainfall event of 3 cm. If the rainfall event has produced a direct runoff of 1.6 cm, the -index of the event (in mm/hour,round off to one decimal place)

Which of the following statement(s) is/are correct?

Read the statements given below. i. Value of the wind profile exponent for the 'very unstable' atmosphere is smaller than the wind profile exponent for the 'neutral' atmosphere. ii. Downwind concentra

A water sample is analyzed for coliform organisms by the multiple-tube fermentation method. The results of confirmed test are as follows: The most probable number (MPN) of coliform organisms for the a

Determine the correctness or otherwise of the following Assertion [a] and the Reason [r]. Assertion [a]: One of the best ways to reduce the amount of solid wastes is to reduce the consumption of raw m

The internal and external diameters of a Shelby sampler are 48 mm and 52 mm, respectively. The area ratio of the sampler (in %,round off to two decimal palces) is _____________

A grit chamber of rectangular cross-section is to be designed to remove particles with diameter of 0.25 mm and specific gravity of 2.70. The terminal settling velocity of the particles is estimated as

The hardness of a water sample is measured directly by titration with 0.01 M solution of ethylenediamine tetraacetic acid (EDTA) using eriochrome black T (EBT) as an indicator. The EBT reacts and form

A 50 mL sample of industrial wastewater is taken into a silica crucible. The empty weight of the crucible is 54.352 g. The crucible with the sample is dried in a hot air oven at 104 till a constant we

The liquid forms of particulate air pollutants are

A lake has a maximum depth of 60 m. If the mean atmospheric pressure in the lake region is 91 kPa and the unit weight of the lake water is , the absolute pressure (in kPa,round off to two decimal plac

Which one of the following is correct?

A water filtration unit is made of uniform-size sand particles of 0.4 mm diameter with a shape factor of 0.84 and specific gravity of 2.55. The depth of the filter bed is 0.70 m and the porosity is 0.

A secondary clarifier handles a total flow of from the aeration tank of a conventional activated-sludge treatment system. The concentration of solids in the flow from the aeration tank is 3000 mg/L. T

An activated sludge process (ASP) is designed for secondary treatment of of municipal wastewater. After primary clarifier, the ultimate BOD of the influent, which enters into ASP reactor is 200 mg/L.

Ammonia nitrogen is present in a given wastewater sample as the ammonium ion and ammonia . If pH is the only deciding factor for the proportion of these two constituents, which of the following is a c

A baghouse filter has to treat of waste gas continuously. The baghouse is to be divided into 5 sections of equal cloth area such that one section can be shut down for cleaning and/or repairing, while

Which one of the following statements is correct?

A rectangular open channel of 6 m width is carrying a discharge of . Consider the acceleration due to gravity as and assume water as incompressible and inviscid. The depth of flow in the channel at wh

A fire hose nozzle directs a steady stream of water of velocity 50 m/s at an angle of above the horizontal. The stream rises initially but then eventually falls to the ground. Assume water as incompre

A cylinder (2.0 m diameter, 3.0 m long and 25 kN weight) is acted upon by water on one side and oil (specific gravity=0.8) on other side as shown in the figure. The absolute ratio of the net magnitude

If water is flowing at the same depth in most hydraulically efficient triangular and rectangular channel sections then the ratio of hydraulic radius of triangular section to that of rectangular sectio

A fluid flowing steadily in a circular pipe of radius R has a velocity that is everywhere parallel to the axis (centerline) of the pipe. The velocity distribution along the radial direction is , where

A venturimeter as shown in the figure (not to scale) is connected to measure the flow of water in a vertical pipe of 20 cm diameter. Assume . When the deflection in the mercury manometer is 15 cm, the

The ratio of the momentum correction factor to the energy correction factor for a laminar flow in a pipe is

Kinematic viscosity' is dimensionally represented as

In general, the CORRECT sequence of surveying operations is

Which of the following is NOT a correct statement?

Which of the following is/are correct statement(s)?

Traversing is carried out for a closed traverse PQRS. The internal angles at vertices P, Q, R and S are measured as , , and , respectively. If fore bearing of line PQ is , fore bearing of line RS (in

For a given traverse, latitudes and departures are calculated and it is found that sum of latitudes is equal to +2.1 m and the sum of departures is equal to -2.8 m. The length and bearing of the closi

A horizontal angle is measured by four different surveyors multiple times and the values reported are given below. he most probable value of the angle ( in degree, round off to two decimal placesis __

A retaining wall of height 10 m with clay backfill is shown in the figure (not to scale). Weight of the retaining wall is 5000 kN per m acting at 3.3 m from the toe of the retaining wall. The interfac

From laboratory investigations, the liquid limit, plastic limit, natural moisture content and flow index of a soil specimen are obtained as 60%, 27%, 32% and 27%, respectively. The corresponding tough

As per the Unified Soil Classification System (USCS), the type of soil represented by 'MH' is

In an Oedometer apparatus, a specimen of fully saturated clay has been consolidated under a vertical pressure of and is presently at equilibrium. The effective stress and pore water pressure immediate

A clay layer of thickness H has a preconsolidation pressure and an initial void ratio .The initial effective overburden stress at the mid-height of the layer is . At the same location, the increment i

The void ratio of a clay soil sample M decreased from 0.575 to 0.510 when the applied pressure is increased from 120 kPa to 180 kPa. For the same increment in pressure, the void ratio of another clay

A rectangular footing of size 2.8m x 3.5m is embedded in a clay layer and a vertical load is placed with an eccentricity of 0.8 m as shown in the figure (not to scale). Take Bearing capacity factors:

An unsupported slope of height 15 m is shown in the figure (not to scale), in which the slope face makes an angle with the horizontal. The slope material comprises purely cohesive soil having undraine

The soil profile at a road construction site is as shown in figure (not to scale). A large embankment is to be constructed at the site. The ground water table (GWT) is located at the surface of the cl

In an aggregate mix, the proportions of coarse aggregate, fine aggregate and mineral filler are 55%, 40% and 5%, respectively. The values of bulk specific gravity of the coarse aggregate, fine aggrega

The most appropriate triaxial test to assess the long-term stability of an excavated clay slope is

An elevated cylindrical water storage tank is shown in the figure. The tank has inner diameter of 1.5 m. It is supported on a solid steel circular column of diameter 75 mm and total height (L) of 4m.T

The soil profile at a construction site is shown in the figure (not to scale). Ground water table (GWT) is at 5 m below the ground level at present. An old well data shows that the ground water table

The cohesion (c), angle of internal friction and unit weight of a soil are and , respectively. The maximum depth of unsupported excavation in the soil (in m, round off to two decimal places) is ______

A partially-saturated soil sample has natural moisture content of 25% and bulk unit weight of . The specific gravity of soil solids is 2.65 and unit weight of water is . The unit weight of the soil sa

Based on drained triaxial shear tests on sands and clays, the representative variations of volumetric strain with the shear strain is shown in the figure. Choose the CORRECT option regarding the repre

A reservoir with a live storage of 300 million cubic metre irrigates 40000 hectares ( 1 hectare= ) of a crop with two fillings of the reservoir. If the base period of the crop is 120 days, the duty fo

An unlined canal under regime conditions along with a silt factor of 1 has a width of flow 71.25m. Assuming the unlined canal as a wide channel, the corresponding average depth of flow (in m, round of

A combined trapezoidal footing of length L supports two identical square columns ( and ) of size 0.5m x 0.5m, as shown in the figure. The columns and carry loads of 2000 kN and 1500 kN, respectively.

A prismatic cantilever prestressed concrete beam of span length, L=1.5 m has one straight tendon placed in the cross-section as shown in the following figure (not to scale). The total prestressing for

A rectangular cross-section of a reinforced concrete beam is shown in the figure. The diameter of each reinforcing bar is 16 mm. The values of modulus of elasticity of concrete and steel are , respect

The equation of deformation is derived to be for a beam shown in the figure. The curvature of the beam at the mid-span (in units, in integer) will be ______________

A solid circular torsional member OPQ is subjected to torsional moments as shown in the figure (not to scale). The yield shear strength of the constituent material is 160 MPa. The absolute maximum she

A square plate O-P-Q-R of a linear elastic material with sides 1.0 m is loaded in a state of plane stress. Under a given stress condition, the plate deforms to a new configuration O-P'-Q'-R' as shown

The state of stress in a deformable body is shown in the figure. Consider transformation of the stress from the x-y coordinate system to the X-Y coordinate system. The angle , locating the X-axis, is

Strain hardening of structural steel means

A single story building model is shown in the figure. The rigid bar of mass 'm' is supported by three massless elastic columns whose ends are fixed against rotation. For each of the columns, the appli

A prismatic steel beam is shown in the figure. The plastic moment, calculated for the collapse mechanism using static method and kinematic method is

A column is subjected to a total load (P) of 60 kN supported through a bracket connection, as shown in the figure (not to scale). The resultant force in bolt R (in kN,round off to one decimal place) i

A prismatic fixed-fixed beam, modelled with a total lumped-mass of 10 kg as a single degree of freedom (SDOF) system is shown in the figure. If the flexural stiffness of the beam is , its natural freq

A frame EFG is shown in the figure. All members are prismatic and have equal flexural rigidity. The member FG carries a uniformly distributed load w per unit length. Axial deformation of any member is

Refer the truss as shown in the figure (not to scale). If load, , moment of inertia, , area of cross-section, , and length, L=2 m for all the members of the truss, the compressive stress (in ,in integ

A propped cantilever beam XY, with an internal hinge at the middle, is carrying a uniformly distributed load of 10 kN/m, as shown in the figure. The vertical reaction at support X ( in kN, in integer)

A propped cantilever beam EF is subjected to a unit moving load as shown in the figure (not to scale). The sign convention for positive shear force at the left and right sides of any section is also s

A truss EFGH is shown in the figure, in which all the members have the same axial rigidity R. In the figure, P is the magnitude of external horizontal forces acting at joints F and G. If , and L=3 m,

A perfectly flexible and inextensible cable is shown in the figure (not to scale). The external loads at F and G are acting vertically. The magnitude of tension in the cable segment FG (in kN, round o

Employ stiffness matrix approach for the simply supported beam as shown in the figure to calculate unknown displacements/rotations. Take length, L=8 m; modulus of elasticity, ; moment of inertia, . Th

The stopping sight distance (SSD) for a level highway is 140 m for the design speed of 90 km/h. The acceleration due to gravity and deceleration rate are and , respectively. The perception/reaction ti

The softening point of bitumen has the same unit as that of

Relationship between traffic speed and density is described using a negatively sloped straight line. If is the free flow speed then the speed at which the maximum flow occurs is

The shape of the most commonly designed highway vertical curve is

The longitudinal section of a runway provides the following data: The effective gradient of the runway (in %, round off to two decimal places) is _____________

For a curve on a high speed Broad Gauge (BG) rail section, the maximum sanctioned speed is 100 km/h and the equilibrium speed is 80 km/h. Consider dynamic gauge of BG rail as 1750 mm. The degree of cu

On a road, the speed - density relationship of a traffic stream is given by u=70 - 0.7k (where speed, u, is in km/h and density, k is in veh/km). At the capacity condition, the average time headway wi

A signalized intersection operates in two phases. The lost time is 3 seconds per phase. The maximum ratios of approach flow to saturation flow for the two phases are 0.37 and 0.40. The optimum cycle l

In a three-phase signal system design for a four-leg intersection, the critical flow ratios for each phase are 0.18, 0.32, and 0.22. The total loss time in each of the phases is 2s. As per Webster's f

A highway designed for 80 km/h speed has a horizontal curve section with radius 250 m. If the design lateral friction is assumed to develop fully, the required super elevation is

Spot speeds of vehicles observed at a point on a highway are 40, 55, 60, 65 and 80 km/h. The space-mean speed (in km/h, round off to two decimal places) of the observed vehicles is ______________

Vehicular arrival at an isolated intersection follows the Poisson distribution. The mean vehicular arrival rate is 2 vehicle per minute. The probability (round off to two decimal places) that at least