Previous Year Questions
94 questions — organised by subject with solutions and explanations.
🎯 Practice smarter, not harder
Just sign in to unlock everything. Free for all students.
The ordinates, u, of a 2-hour unit hydrograph (i.e., for 1 cm of effective rain), for a catchment are shown in the table. A 6-hour storm occurs over the catchment such that the effective rainfall inte
The probability that the annual maximum flood discharge will exceed 25000 , at least once in next 5 years is found to be 0.25. The return period of this flood event (in years, round off to 1 decimal p
A catchment may be idealised as a rectangle. There are three rain gauges located inside the catchment at arbitrary locations. The average precipitation over the catchment is estimated by two methods:
An inflow hydrograph is routed through a reservoir to produce an outflow hydrograph. The peak flow of the inflow hydrograph is and the time of occurrence of the peak is . The peak flow of the outflow
The hyetograph of a storm event of duration 140 minutesis shown in the figure. The infiltration capacity at the start of this event (t=0) is 17 mm/hour, which linearly decreases to 10 mm/hour after 40
Which one of the following options contains ONLY primary air pollutants?
Raw municipal solid waste (MSW) collected from a city contains 70% decomposable material that can be converted to methane. The water content of the decomposable material is 35%. An elemental analysis
Sedimentation basin in a water treatment plant is designed for a flow rate of 0.2 . The basin is rectangular with a length of 32m, width of 8m, and depth of 4m. Assume that the settling velocity of th
A completely mixed dilute suspension of sand particles having diameters 0.25, 0.35, 0.40, 0.45 and 0.50 mm are filled in a transparent glass column of diameter 10 cm and height 2.50 m. The suspension
A 0.80 m deep bed of sand filter (length 4 m and width 3 m) is made of uniform particles (diameter = 0.40 mm, specific gravity = 2.65, shape factor = 0.85) with bed porosity of 0.4. The bed has to be
A wastewater is to be disinfected with 35 mg/Lof chlorine to obtain 99% kill of micro-organisms. The number of micro-organisms remaining alive ( ) at time t, is modelled by , where is number of micro-
Which one of the following is a secondary pollutant?
A sample of air analysed at 0 C and 1 atm pressure is reported to contain 0.02 ppm(parts per million) of . Assume the gram molecular mass of as 46 and its volume at 0 C and 1 atm pressure as 22.4 litr
Analysis of a water sample revealed that the sample contains the following species. , , , Concentrationsof which of the species will be required to compute alkalinity?
A water treatment plant treats 6000 of water per day. As a part of the treatment process, discrete particles are required to be settled in a clarifier. A column test indicates that an overflow rate of
Chlorine is used as the disinfectant in a municipal water treatment plant. It achieves 50 percent of disinfection efficiency measured in terms of killing the indicator microorganisms (E-Coli) in 3 min
A circular duct carrying water gradually contracts from a diameter of 30 cm to 15 cm. The figure shows the arrangement of differential manometer attached to the duct When the water flows, the differen
The velocity field in a flow system is given by . The acceleration of the fluid at (1,1,2) is
In a rectangular channel, the ratio of the velocity head to the flow depth for critical flow condition, is
A rectangular open channel has a width of 5 m and a bed slope of 0.001. For a uniform flow of depth 2 m, the velocity is 2 m/s. The Manning's roughness coefficient for the channel is
A solid sphere of radius, r, and made of material with density, , is moving through the atmosphere (constant pressure, p)with a velocity, v. The net force ONLY due to atmospheric pressure ( ) acting o
Two identical pipes (i.e., having the same length, same diameter, and same roughness) are used to withdraw water from a reservoir. In the first case, they are attached in series and discharge freely i
Two water reservoirs are connected by a siphon (running full) of total length 5000 m and diameter of 0.10m, as shown below The inlet leg length of the siphon to its summit is 2000m. The difference in
Consider a laminar flow in the x-direction between two infinite parallel plates (Couette flow). The lower plate is stationary and the upper plate is moving with a velocity of 1 cm/s in the x-direction
Consider the reactor shown in the figure. The flow rate through the reactor is . The concentrations (in mg/L) of a compound in the influent and effluent are and C, respectively. The compound is degrad
Consider the hemi-spherical tank of radius 13 m as shown in the figure. What is the volume of water (in ) when the depth of water at the centre of the tank is 6 m?
A series of perpendicular offsets taken from a curved boundary wall to a straight survey line at an interval of 6m are 1.22, 1.67, 2.04, 2.34, 2.14, 1.87, and 1.15 m. The area (in , round off to 2 dec
A camera with a focal length of 20 cm fitted in an aircraft is used for taking vertical aerial photographs of a terrain. The average elevation of the terrain is 1200 m above mean sea level (MSL). What
The interior angles of four triangles are given below: Which of the triangles are ill-conditioned and should be avoided in Triangulation surveys?
A staff is placed on a benchmark (BM) of reduced level (RL) 100.000 m and a theodolite is placed at a horizontal distance of 50 m from the BM to measure the vertical angles. The measured vertical angl
The data from a closed traverse survey PQRS (run in the clockwise direction) are given in the table The closing error for the traverse PQRS (in degrees) is ___
A soil has specific gravity of its solids equal to 2.65. The mass density of water is 1000 . Considering zero air voids and 10% moisture content of the soil sample, the dry density (in , round off to
A granular soil has a saturated unit weight of 20 and an effective angle of shearing resistance of 30 . The unit weight of water is 9.81 . A slope is to be made on this soil deposit in which the seepa
If the fineness modulus of a sample of fine aggregates is 4.3, the mean size of the particles in the sample is between
A square footing of 4 m side is placed at 1 m depth in a sand deposit. The dry unit weight ( ) of sand is 15 . This footing has an ultimate bearing capacity of 600 kPa. Consider the depth factors: and
A reinforced concrete circular pile of 12 m length and 0.6 m diameter is embedded in stiff clay which has an undrained unit cohesion of 110 . The adhesion factor is 0.5. The Net Ultimate Pullout (upli
In a soil specimen, the total stress, effective stress, hydraulic gradient and critical hydraulic gradient are , respectively. For initiation of quicksand condition, which one of the following stateme
A timber pile of length 8 m and diameter 0.2 m is driven with a 20 kN drop hammer, falling freely from a height of 1.5 m. The total penetration of the pile in the last 5 blows is 40 mm. Use the Engine
A concentrated load of 500 kN is applied on an elastic half space. The ratio of the increase in vertical normal stress at depths of 2m and 4m along the point of the loading, as per Boussinesq's theory
A retaining wall of height H with smooth vertical backface supports a backfill inclined at an angle with the horizontal. The backfill consists of cohesionless soil having angle of internal friction .
For the following statements: P: The lateral stress in the soil while being tested in an oedometer is always at-rest. Q: For a perfectly rigid strip footing at deeper depths in a sand deposit, the ver
The notation "SC" as per Indian Standard Soil Classification System refers to
A 2mx 4m rectangular footing has to carry a uniformly distributed load of 120 kPa. As per the 2:1 dispersion method of stress distribution, the increment in vertical stress (in kPa) at a depth of 2m b
A box measuring 50 cmx50cmx50cm is filled to the top with dry coarse aggregate of mass 187.5 kg. The water absorption and specific gravity of the aggregate are 0.5% and 2.5, respectively. The maximum
An anisotropic soil deposit has coefficient of permeability in vertical and horizontal directions as , respectively. For constructing a flow net, the horizontal dimension of the problem's geometry is
A survey line was measured to be 285.5 m with a tape having a nominal length of 30 m. On checking, the true length of the tape was found to be 0.05 m too short. If the line lay on a slope of 1 in 10,
A square footing of 2 m sides rests on the surface of a homogeneous soil bed having the properties: cohesion c=24 kPa, angle of internal friction , and unit weight . Terzaghi's bearing capacity factor
An earthen dam of height H is made of cohesive soil whose cohesion and unit weight are c and , respectively. If the factor of safety against cohesionis , the Taylor's stability number ( ) is
Constant head permeability tests were performed on two soil specimens, S1 and S2. The ratio of height of the two specimens ( ) is 1.5, the ratio of the diameter of specimens ( ) is 0.5, and the ratio
Construction of a new building founded on a clayey soil was completed in January 2010. In January 2014, the average consolidation settlement of the foundation in clay was recorded as 10 mm. The ultima
The dimensions of a soil sampler are given in the table. For this sampler, the outside clearance ratio (in percent, round off to 2 decimal places) is ______
At the foot of a spillway, water flows at a depth of 23 cm with a velocity of 8.1 m/s, as shown in the figure. The flow enters as an M-3 profile in the long wide rectangular channel with bed slope = a
The command area of a canal grows only one crop, i.e., wheat. The base period of wheat is 120 days and its total water requirement, , is 40 cm. If the canal discharge is 2 , the area, in hectares, rou
If the path of an irrigation canal is below the bed level of a natural stream, the type of cross-drainage structure provided is
A confined aquifer of 15 m constant thickness is sandwiched between two aquicludes as shown in the figure. The heads indicated by two piezometers P and Q are 55.2 m and 34.1 m, respectively. The aquif
A 3mx3m square precast reinforced concrete segments to be installed by pushing them through an existing railway embankment for making an underpass as shown in the figure. A reaction arrangement using
In the reinforced beam section shown in the figure, the nominal cover provided at the bottom of the beam as per IS 456-2000, is
When aspecimen of M25 concrete is loaded to a stress level of 12.5 MPa, a strain of is recorded. If this load is allowed to stand for a long time, the strain increasesto . In accordance with the provi
Tie bars of 12 mm diameter are to be provided in a concrete pavement slab. The working tensile stress of the tie bars is 230 MPa, the average bond strength between a tie bar and concrete is 2 MPa, and
For a given loading on a rectangular plain concrete beam with an overall depth of 500 mm, the compressive strain and tensile strain developed at the extreme fibers are of the same magnitude of . The c
In the context of provisions relating to durability of concrete, consider the following assertions: Assertion (1): As per IS 456-2000, air entrainment to the extent of 3% to 6% is required for concret
The characteristic compressive strength of concrete required in a project is 25MPa and the standard deviation in the observed compressive strength expected at site is 4MPa. The average compressive str
A closed thin-walled tube has thickness, t, mean enclosed area within the boundary of the centerline of tube's thickness, , and shear stress, . Torsional moment of resistance, T, of the section would
An isolated concrete pavement slab of length L is resting on a frictionless base. The temperature of the top and bottom fibre of the slab are , respectively. Given: the coefficient of thermal expansio
For a plane stress problem, the state of stress at a point P is represented by the stress element as shown in figure. By how much angle ( ) in degrees the stress element should be rotated in order to
The cross-section of a built-up wooden beam as shown in the figure is subjected to a vertical shear force of 8 kN. The beam is symmetrical about the neutral axis (N.A.) shown, and the moment of inerti
An element is subjected to biaxial normal tensile strains of 0.0030 and 0.0020. The normal strain in the plane of maximum shear strain is
A plane frame shown in the figure has linear elastic springs at node H. The spring constants are and . For the externally applied moment of 30 kNm at node F, the rotation (in degrees, round off to 3 d
A steel column is restrained against both translation and rotation at one end and is restrained only against rotation but free to translate at the other end. Theoretical and design (IS:800-2007) value
The critical bending compressive stress in the extreme fibre of a structural steel section is 1000 MPa. It is given that the yield strength of the steel is 250 MPa, width of flange is 250 mm and thick
A rolled I-section beam is supported on a 75 mm wide bearing plate as shown in the figure. Thicknesses of flange and web of the I-section are 20 mm and 8 mm, respectively. Root radius of the I-section
For a channel section subjected to a downward vertical shear force at its centroid, which one of the following represents the correct distribution of shear stress in flange and web?
If the section shown in the figure turns from fully-elastic to fully-plastic, the depth of neutral axis (N.A.), , decreases by
A 16 mm thick gusset plate is connected to the 12 mm thick flange plate of an I-section using fillet welds on both sides as shown in the figure. The gusset plate is subjected to a point load of 350 kN
Assuming that there is no possibility of shear buckling in the web, the maximum reduction permitted by IS 800-2007 in the (low-shear) design bending strength of a semi-compact steel section due to hig
The rigid-jointed plane frame QRS shown in the figure is subjected to a load P at the joint R. Let the axial deformations in the frame be neglected. If the support S undergoes a settlement of , the ve
A plane truss is shown in the figure Which one of the options contains ONLY zero force members in the truss?
A long uniformly distributed load of 10 kN/m and a concentrated load of 60 kN are moving together on the beam ABCD shown in the figure. The relative positions of the two loads are not fixed. The maxim
The degree of static indeterminacy of the plane frame as shown in the figure is ___
Consider the pin-jointed plane truss shown in the figure. Let and denote the vertical reactions (upward positive) applied by the supports at P, Q, and R, respectively, on the truss. The correct combin
A portal frame shown in figure has a hinge support at joint P and a roller support at joint R. A point load of 50 kN is acting at joint R in the horizontal direction. The flexural rigidity, EI, of eac
Traffic on a highway is moving at a rate of 360 vehicles per hour at a location. If the number of vehicles arriving on this highway follows Poisson distribution, the probability (round off to 2 decima
A vehicle is moving on a road of grade +4% at a speed of 20 m/s. Consider the coefficient of rolling friction as 0.46 and acceleration due to gravity as 10 . On applying brakes to reach a speed of 10
A parabolic vertical curve is being designed to join a road of grade +5% with a road of grade -3%. The length of the vertical curve is 400m measured along the horizontal. The vertical point of curvatu
The speed-density relationship of a highway is given as u=100-0.5k where, u = speed in km per hour, k = density in vehicles per km. The maximum flow (in vehicles per hour, round off to the nearest int
A flexible pavement has the following class of loads during a particular hour of the day. i. 80 buses with 2-axles (each axle load of 40 kN); ii. 160 trucks with 2-axles (front and rear axle loads of
Average free flow speed and the jam density observed on a roadstretch are 60 km/h and 120 vehicles/km, respectively. For a linear speed-density relationship, the maximum flow on the road stretch (in v
Structural failures considered in the mechanistic method of bituminous pavement design are
The coefficient of average rolling friction of a road is and its grade is +G%. If the grade of this road is doubled, what will be the percentage change in the braking distance (for the design vehicle
The uniform arrival and uniform service rates observed on an approach road to a signalized intersection are 20 and 50 vehicles/minute, respectively. For this signal, the red time is 30 s, the effectiv
A broad gauge railway line passes through a horizontal curved section (radius = 875 m) of length 200 m. The allowable speed on this portion is 100 km/h. For calculating the cant, consider the gauge as
The maximum number of vehicles observed in any five minute period during the peak hour is 160. If the total flow in the peak hour is 1000 vehicles, the five minute peak hour factor (round off to 2 dec
The speed-density relationship in a mid-block section of a highway follows the Greenshield's model. If the free flow speed is and the jam density is , the maximum flow observed on this section is