GATE CE 2022 PYQ

The project activities are given in the following table along with the duration and dependency. Which one of the following combinations is correct?

The activities of a project are given in the following table along with their durations and dependency. The total float of the activity E (in days) is ________. (in integer)

A two-hour duration storm event with uniform excess rainfall of 3 cm occurred on a watershed. The ordinates of streamflow hydrograph resulting from this event are given in the table. Considering a con

In a certain month, the reference crop evapotranspiration at a location is 6 mm/day. If the crop coefficient and soil coefficient are 1.2 and 0.8, respectively, the actual evapotranspiration in mm/day

A flood control structure having an expected life of n years is designed by considering a flood of return period years. When , and , the structure's hydrologic risk of failure in percentage is . (roun

At a municipal waste handling facility, 30 metric ton mixture of food waste, yard waste, and paper waste was available. The moisture content of this mixture was found to be 10%. The ideal moisture con

A 100 mg of (strong acid) is added to water, bringing the final volume to 1.0 liter. Consider the atomic weights of H, N, and O, as 1 g/mol, 14 g/mol, and 16 g/mol, respectively. The final pH of this

A 2% sewage sample (in distilled water) was incubated for 3 days at temperature. After incubation, a dissolved oxygen depletion of 10 mg/L was recorded. The biochemical oxygen demand (BOD) rate consta

A sewage treatment plant receives sewage at a flow rate of 5000 . The total suspended solids (TSS) concentration in the sewage at the inlet of primary clarifier is 200 mg/L. After the primary treatmen

In a solid waste handling facility, the moisture contents ( ) of food waste, paper waste, and glass waste were found to be , , and , respectively. Similarly, the energy contents ( ) of plastic waste,

Which of the following process(es) can be used for conversion of salt water into fresh water?

Henry's law constant for transferring from air into water, at room temperature, is 1.3 . Given that the partial pressure of in the atmosphere is 0.21 atm, the concentration of dissolved oxygen (mg/lit

The concentration of pollutants in a one-dimensional reservoir at position and time satisfies the diffusion equation on the domain , where is the diffusion coefficient of the pollutants. The initial c

A water treatment plant has a sedimentation basin of depth 3 m, width 5 m, and length 40 m. The water inflow rate is 500 . The removal fraction of particles having a settling velocity of 1.0 m/h is___

A sample of air analyzed at and 1 atm pressure is reported to contain 0.04 ppm of . Atomic mass of S = 32, O = 16. The equivalent concentration (in ) will be__________. (round off to the nearest integ

For wastewater coming from a wood pulping industry, Chemical Oxygen Demand and 5-day Biochemical Oxygen Demand were determined. For this wastewater, which of the following statement(s) is/are correct?

A wastewater sample contains two nitrogen species, namely ammonia and nitrate. Consider the atomic weight of N, H, and O as 14 g/mol, 1 g/mol, and 16 g/mol, respectively. In this wastewater, the conce

The total hardness in raw water is 500 milligram per liter as . The total hardness of this raw water, expressed in milligram equivalent per liter, is (Consider the atomic weights of Ca, C, and O as 40

In a city, the chemical formula of biodegradable fraction of municipal solid waste (MSW) is . The waste has to be treated by forced-aeration composting process for which air requirement has to be esti

To design an optimum municipal solid waste collection route, which of thefollowing is/are NOT desired:

In a water sample, the concentrations of and are 100 mg/L, 36 mg/L and 122 mg/L, respectively. The atomic masses of various elements are: Ca = 40, Mg = 24, H = 1, C = 12, O = 16. The total hardness an

A process equipment emits 5 kg/h of volatile organic compounds (VOCs). If a hood placed over the process equipment captures 95% of the VOCs, then the fugitive emission in kg/h is

Two reservoirs are connected by two parallel pipes of equal length and of diameters 20 cm and 10 cm, as shown in the figure (not drawn to scale). When the difference in the water levels of the reservo

A hydraulic jump takes place in a 6 m wide rectangular channel at a point where the upstream depth is 0.5 m (just before the jump). If the discharge in the channel is 30 and the energy loss in the jum

Water is flowing in a horizontal, frictionless, rectangular channel. A smooth hump is built on the channel floor at a section and its height is gradually increased to reach choked condition in the cha

Match Column X with Column Y: Which one of the following combinations is correct?

With respect to fluid flow, match the following in Column X with Column Y: Which one of the following combinations is correct?

A rectangular channel with Gradually Varied Flow (GVF) has a changing bed slope. If the change is from a steeper slope to a steep slope, the resulting GVF profile is

The dimension of dynamic viscosity is:

Depth of water flowing in a 3 m wide rectangular channel is 2 m. The channel carries a discharge of 12 . Take g = 9.8 . The bed width (in m) at contraction, which just causes the critical flow, is ___

A pump with an efficiency of 80% is used to draw groundwater from a well for irrigating a flat field of area 108 hectares. The base period and delta for paddy crop on this field are 120 days and 144 c

Two discrete spherical particles (P and Q) of equal mass density are independently released in water. Particle P and particle Q have diameters of 0.5 mm and 1.0 mm, respectively. Assume Stokes' law is

A line between stations P and Q laid on a slope of 1 in 5 was measured as 350 m using a 50 m tape. The tape is known to be short by 0.1 m. The corrected horizontal length (in m) of the line PQ will be

The bearing of a survey line is . Its azimuth observed from north is ______ deg. (round off to two decimal places)

An aerial photograph is taken from a flight at a height of 3.5 km above mean sea level, using a camera of focal length 152 mm. If the average ground elevation is 460 m above mean sea level, then the s

The error in measuring the radius of a 5 cm circular rod was 0.2%. If the cross-sectional area of the rod was calculated using this measurement, then the resulting absolute percentage error in the com

If the magnetic bearing of the Sun at a place at noon is , the magnetic declination (in degrees) at that place is

A square concrete pile of 10 m length is driven into a deep layer of uniform homogeneous clay. Average unconfined compressive strength of the clay, determined through laboratory tests on undisturbed s

At a site, Static Cone Penetration Test was carried out. The measured point (tip) resistance was 1000 kPa at a certain depth. The friction ratio ( ) was estimated as 1% at the same depth. The value of

A soil sample is underlying a water column of height , as shown in the figure. The vertical effective stresses at points A, B, and C are , , and respectively. Let and be the saturated and submerged un

In a triaxial unconsolidated undrained (UU) test on a saturated clay sample, the cell pressure was 100 kPa. If the deviatoric stress at failure was 150 kPa, then the undrained shear strength of the so

The correct match between the physical states of the soils given in Group I andthe governing conditions given in Group II is

Four different soils are classified as CH, ML, SP, and SW, as per the Unified Soil Classification System. Which one of the following options correctly represents their arrangement in the decreasing or

A concentrated vertical load of 3000 kN is applied on a horizontal ground surface. Points P and Q are at depths 1 m and 2 m below the ground, respectively, along the line of application of the load. C

Let represent soil suction head and represent hydraulic conductivity of the soil. If the soil moisture content increases, which one of the following statements is TRUE?

A concentrically loaded isolated square footing of size 2 m x 2 m carries a concentrated vertical load of 1000 kN. Considering Boussinesq's theory of stress distribution, the maximum depth (in m) of t

Let and denote the effective vertical stress and effective horizontal stress, respectively. Which one of the following conditions must be satisfied for a soil element to reach the failure state under

As per Rankine's theory of earth pressure, the inclination of failure planes is with respect to the direction of the minor principal stress. The above statement is correct for which one of the followi

Read the following statements: (P) While designing a shallow footing in sandy soil, monsoon season is considered for critical design in terms of bearing capacity. (Q) For slope stability of an earthen

A raft foundation of 30 m x 25 m is proposed to be constructed at a depth of 8 m in a sand layer. A 25 m thick saturated clay layer exists 2 m below the base of the raft foundation. Below the clay lay

Match the following in Column X with Column Y: Which one of the following combinations is correct?

An uncompacted heap of soil has a volume of 10000 and void ratio of 1. If the soil is compacted to a volume of 7500 , then the corresponding void ratio of the compacted soil is __________. (round off

A saturated compressible clay layer of thickness h is sandwiched between two sand layers, as shown in the figure. Initially, the total vertical stress and pore water pressure at point P, which is loca

The inside diameter of a sampler tube is 50 mm. The inside diameter of the cutting edge is kept such that the Inside Clearance Ratio (ICR) is 1.0% to minimize the friction on the sample as the sampler

A group of total 16 piles are arranged in a square grid format. The center-to- center spacing (s) between adjacent piles is 3 m. The diameter (d) and length of embedment of each pile are 1 m and 20 m,

In the context of cross-drainage structures, the correct statement(s) regarding the relative positions of a natural drain (stream/river) and an irrigation canal, is/are

During a particular stage of the growth of a crop, the consumptive use of water is 2.8 mm/day. The amount of water available in the soil is 50 % of the maximum depth of available water in the root zon

A post-tensioned concrete member of span 15 m and cross-section of 450 mm x 450 mm is prestressed with three steel tendons, each of cross-sectional area 200 . The tendons are tensioned one after anoth

In the context of elastic theory of reinforced concrete, the modular ratio is defined as the ratio of

Read the following statements relating to flexure of reinforced concrete beams: I. In over-reinforced sections, the failure strain in concrete reaches earlier than the yield strain in steel. II. In un

A reinforced concrete beam with rectangular cross section (width = 300 mm, effective depth = 580 mm) is made of grade concrete. It has 1% longitudinal tension reinforcement of grade steel. The design

Which of the following equations is correct for the Pozzolanic reaction?

It is given that an aggregate mix has 260 grams of coarse aggregates and 240 grams of fine aggregates. The specific gravities of the coarse and fine aggregates are 2.6 and 2.4, respectively. The bulk

Match all the possible combinations between Column X (Cement compounds) and Column Y (Cement properties): Which one of the following combinations is correct?

Consider two linearly elastic rods HI and IJ, each of length b, as shown in the figure. The rods are co-linear, and confined between two fixed supports at H and J. Both the rods are initially stress f

For a linear elastic and isotropic material, the correct relationship among Young's modulus of elasticity ( ), Poisson's ratio ( ), and shear modulus ( ) is

Stresses acting on an infinitesimal soil element are shown in the figure (with ). The major and minor principal stresses are and , respectively. Considering the compressive stresses as positive, which

The hoop stress at a point on the surface of a thin cylindrical pressure vessel is computed to be 30.0 MPa. The value of maximum shear stress at this point is

The components of pure shear strain in a sheared material are given in the matrix form: Here, . Given, and . The numerical value of is ________. (in integer)

Consider the cross-section of a beam made up of thin uniform elements having thickness shown in the figure. The coordinates of the points along the center-line of the cross-section are given in the fi

For the square steel beam cross-section shown in the figure, the shape factor about axis is and the plastic moment capacity is . Consider yield stress and The values of and (rounded-off to one decimal

A weld is used for joining an angle section ISA 100 mm x 100 mm x 10 mm to a gusset plate of thickness 15 mm to transmit a tensile load. The permissible stress in the angle is 150 MPa and the permissi

The plane truss shown in the figure is subjected to an external force . It is given that and . The magnitude (absolute value) of force (in kN) in member is _______. (round off to the nearest integer)

Consider the linearly elastic plane frame shown in the figure. Members HF, FK and FG are welded together at joint F. Joints K, G and H are fixed supports. A counter-clockwise moment M is applied at jo

A semi-circular bar of radius R m, in a vertical plane, is fixed at the end G, as shown in the figure. A horizontal load of magnitude P kN is applied at the end H. The magnitude of the axial force, sh

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

Consider a beam PQ fixed at P, hinged at Q, and subjected to a load F as shown in figure (not drawn to scale). The static and kinematic degrees of indeterminacy, respectively, are

Consider a simply supported beam PQ as shown in the figure. A truck having 100 kN on the front axle and 200 kN on the rear axle, moves from left to right. The spacing between the axles is 3 m. The max

The linearly elastic planar structure shown in the figure is acted upon by two vertical concentrated forces. The horizontal beams UV and WX are connected with the help of the vertical linear spring wi

At a traffic intersection, cars and buses arrive randomly according to independent Poisson processes at an average rate of 4 vehicles per hour and 2 vehicles per hour, respectively. The probability of

A parabolic vertical crest curve connects two road segments with grades +1.0% and -2.0%. If a 200 m stopping sight distance is needed for a driver at a height of 1.2 m to avoid an obstacle of height 0

The vehicle count obtained in every 10 minute interval of a traffic volume survey done in peak one hour is given below. The peak hour factor (PHF) for 10 minute sub-interval is __________. (round off

Consider the four points P, Q, R, and S shown in the Greenshields fundamental speed-flow diagram. Denote their corresponding traffic densities by and respectively. The correct order of these densities

For the dual-wheel carrying assembly shown in the figure, is the load on each wheel, is the radius of the contact area of the wheel, is the spacing between the wheels, and is the clear distance betwee

A single-lane highway has a traffic density of 40 vehicles/km. If the time-mean speed and space-mean speed are 40 kmph and 30 kmph, respectively, the average headway (in seconds) between the vehicles

The base length of the runway at the mean sea level (MSL) is 1500 m. If the runway is located at an altitude of 300 m above the MSL, the actual length (in m) of the runway to be provided is __________

The lane configuration with lane volumes in vehicles per hour of a four-arm signalized intersection is shown in the figure. There are only two phases: the first phase is for the East-West and the West

For a traffic stream, is the space mean speed, is the density, is the flow, is the free flow speed, and is the jam density. Assume that the speed decreases linearly with density. Which of the followin

Assuming that traffic on a highway obeys the Greenshields model, the speed of a shockwave between two traffic streams (P) and (Q) as shown in the schematic is _______ kmph. (in integer)

A two-phase signalized intersection is designed with a cycle time of 100 s. The amber and red times for each phase are 4 s and 50 s, respectively. If the total lost time per phase due to start-up and

A horizontal curve is to be designed in a region with limited space. Which of the following measure(s) can be used to decrease the radius of curvature?