Previous Year Questions
93 questions — organised by subject with solutions and explanations.
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The 4-hr unit hydrograph for a catchment is given in the table below. What would be the maximum ordinate of the S-curve (in ) derive from this hydrograph?
In a catchment, there are four rain-gauge stations, P, Q, R, and S. Normal annual precipitation values at these stations are 780 mm, 850 mm, 920 mm, and 980 mm respectively. In the year 2013, stations
The average surface area of a reservoir in the month of June is 20 . In the same month, the average rate of inflow is 10 /s, outflow rate is 15 /s, monthly rainfall is 10 cm, monthly seepage loss is 1
A water treatment plant of capacity, has filter boxes of dimensions 6m x 10m. Loading rate to the filters is . When two of the filters are out of service for back washing, the loading rate (in )is____
Solid waste generated from an industry contains only two components, X and Y as shown in the table below Assuming ( )=100, the composite density of the solid waste is given by :
A landfill is to be designed to serve a population of 200000 for a period of 25 years. The solid waste (SW) generation is 2 kg/person/day. The density of the un-compacted SW is 100 kg/ and a compactio
The relationship between porosity ( ), specific yield ( ) and specific retention ( ) of an unconfined aquifer is:
Consider a primary sedimentation tank (PST) in a water treatment plant with Surface Overflow Rate (SOR) of 40 . The diameter of the spherical particle which will have 90 percent theoretical removal ef
Ultimate BOD of a river water sample is 20 mg/L. BOD rate constant (natural log) is 0.15 . The respective values of BOD (in %) exerted and remaining after 7 days are:
and CO adversely affect
A groundwater sample was found to contain 500 mg/L total dissolved solids (TDS). TDS (in %) present in the sample is ________.
Total Kjeldahal Nitrogen (TKN) concentration (mg/L as N) in domestic sewage is the sum of the concentration of :
In a wastewater treatment plant, primary sedimentation tank (PST) designed at an overflow rate of 32.5 is 32.5 m long, 8.0 m wide and liquid depth of 2.25 m. If the length of the weir is 75 m, the wei
The concentration of Sulfur Dioxide ( ) in ambient atmosphere was measured as 30 . Under the same conditions, the above concentration expressed in ppm is ___________. Given: (P/(RT) = 41.6 ; where, P=
A pipe of 0.7 m diameter has a length of 6 km and connects two reservoirs A and B. The water level in reservoir A is at an elevation 30 m above the water level in reservoir B. Halfway along the pipe l
A short reach of a 2 m wide rectangular open channel has its bed level rising in the direction of flow at a slope of 1 in 10000. It carries a discharge of 4 and its Manning's roughness coefficient is
For steady incompressible flow through a closed- conduit of uniform cross-section, the direction of flow will always be :
A circular pipe has a diameter of 1m, bed slope of 1 in 1000, and Manning's roughness coefficient equal to 0.01. It may be treated as an open channel flow when it is flowing just full, i.e., the water
The drag force , on a sphere kept in a uniform flow field depends on the diameter of the sphere, D; flow velocity, V; fluid density, ; and dynamic viscosity, . Which of the following options represent
A hydraulic jump is formed in a 2 m wide rectangular channel which is horizontal and frictionless. The post-jump depth and velocity are 0.8 m and 1 , respectively. The pre-jump velocity is _______ (us
A hydraulic jump takes place in a frictionless rectangular channel. The pre-jump depth is . The alternate and sequent depths corresponding toalternate and sequent depths corresponding to are and respe
The relationship between the length scale ratio and the velocity scale ratio in hydraulic models, in which Froude dynamic similarity is maintained, is:
The velocity components of a two dimensional plane motion of a fluid are: and . The correct statement is:
Two reservoirs are connected through a 930 m long, 0.3 m diameter pipe, which has a gate valve. The pipe entrance is sharp (loss coefficient = 0.5) and the valve is half-open (loss coefficient = 5.5).
A triangular gate with a base width of 2 m and a height of 1.5 m lies in a vertical plane. The top vertex of the gate is 1.5 m below the surface of a tank which contains oil of specific gravity 0.8. C
A nozzle is so shaped that the average flow velocity changes linearly from 1.5 m/s at the beginning to 15 m/s at its end in a distance of 0.375 m. The magnitude of the convective acceleration (in m/ )
In a two-dimensional steady flow field, in a certain region of the x-y plane, the velocity component in the x-direction is given by and the density varies as . Which of the following is a valid expres
In a region with magnetic declination of , the magnetic Force Bearing (FB) of a line AB was measured as . There was local attraction at A. To determine the correct magnetic bearing to the line, a poin
In a leveling work, sum of the Back Sight (B.S.) and Fore Sight (F.S.) have been found to be 3.085 m and 5.645 m respectively. If the Reduced Level (R.L.) of the starting station is 100.000 m, the R.L
The bearings of two inaccessible stations, (Easting 500 m, Northing 500 m) and (Easting 600 m, Northing450 m) from a station were observed as and respectively. The independent Easting (in m) of statio
Two pegs A and B were fixed on opposite banks of a 50m wide river. The level was set up at A and the staff readings on Pegs A and B were observed as 1.350 m and 1.550 m, respectively. Thereafter the i
In a survey work, three independent angle, X, Y and Z were observed with weight respectively. The weight of the sum of angles X, Y and Z is given by:
The combined correction due to curvature and refraction (in m) for distance of 1 km on the surface of Earth is
Which of the following statements is FALSE?
In a closed loop traverse of 1 km total length, the closing errors in departure and latitude are 0.3 m and 0.4m, respectively. The relative precision of this traverse will be:
A pile of diameter 0.4 m is fully embedded in a clay stratum having 5 layers, each 5 m thick as shown in the figure below. Assume a constant unit weight of soil as 18 kN/ for all the layers. Using -me
Surcharge loading required to placed on the horizontal backfill of a smooth retaining vertical wall so as to completely eliminate tensile crack is:
A 588 volume of moist sand weighs 1010 gm. Its dry weight is 918 gm and specific gravity of solids, G is 2.67. Assuming density of water as 1 gm/ , the void ratio is __________.
A fine-grained soil has 60% (by weight) silt content. The soil behaves as semi-solid when water content is between 15% and 28%. The soil behaves fluid-like when the water content is more than 40%. The
A 6 m high retaining wall having a smooth vertical back face retains a layered horizontal backfill. Top 3 m thick layer of the backfill is sand having an angle of internal friction, while the bottom l
A 4 m thick layer of normally consolidated clay has an average void ratio of 1.30. Its compression index is 0.6 and coefficient of consolidation is 1 . If the increase in vertical pressure due to foun
A non-homogenous soil deposit consists of a silt layer sandwiched between a fine-sand layer at top and a clay layer below. Permeability of the silt layer is 10 times the permeability of the clay layer
Which of the following statement is TRUE for the relation between discharge velocity and seepage velocity?
Net ultimate bearing capacity of a footing embedded in a clay stratum
Which of the following statement is TRUE for degree of disturbance of collected soil sample?
A water tank is to be constructed on the soil deposit shown in the figure below. A circular footing of diameter 3 m and depth of embedment 1 m has been designed to support the tank. The total vertical
A square footing (2m x 2m) is subjected to an inclined point load P as shown in the figure below. The water table is located well below the base of the footing. Considering one-way eccentricity, the n
In the water content of a fully saturated soil mass is 100% the void ratio of the sample is:
In friction circle method of slope stability analysis, if r defines the radius of the slip circle, the radius of friction circle is:
In an unconsolidated undrained triaxial test, it is observed that an increase in cell pressure from 150 kPas to 250 kPa leads to a pore pressure increase of 80 kPa. It is further observed that, an inc
A 20 m thick clay layer is sandwiched between a silty sand layer and a gravelly sand layer. The layer experiences 30 mm settlement in 2 years. Given: Where is the time factor and U is the degree conso
An earth embankment is to be constructed with compacted cohesionless soil. The volume of the embankment is 5000 and the target dry unit weight is 16.2 . Three nearby sites (see figure blwo) have been
Which of the following statement is NOT correct?
Stress path equation for tri-axial test upon application of deviatoric stress is, . The respective values of cohesion, c (in kPa) and angle of internal friction, are:
The two columns below show some parameters and their possible values. Which of the following options matches the parameters and the values correctly?
A field channel has cultivable commanded area of 2000 hectares. The intensities of irrigation for gram and wheat are 30% and 50% respectively. Gram has a kor period of 18 days, kor depth of 12 cm, whi
Consider the following statements for air-entrained concrete. (i) Air-entrainment reduces the water demand for a given level of workability (ii) Use of air-entrained concrete is required in environmen
Consider the singly reinforced beam section given below (left figure). The stress block parameters for the cross-section from IS: 456 : 2000 are also given below (right figure). The moment of resistan
In a pre-stressed concrete beam section shown in the figure, the net loss is 10% and the final pre-stressing force applied at X is 750 kN. The initial fiber stresses (in ) at the top and bottom of the
Workability of concrete can be measured using slump, compaction factor and Vebe time. Consider the following statements for workability of concrete: (i) As the slump increases, the Vebe time increases
According to the concept of Limit State Design as per IS 456: 2000, the probability of failure of a structure is__________.
The development length of a deformed reinforncement bar can be expressed as (1/k) . From the IS: 456-2000, the value of k can be calculated as________.
The composition of an air-entrained concrete is given below: Assume the specific gravity of OPC, sand and coarse aggregate top be 3.14, 2.67 and 2.74, respectively. The air content is ________ .
Consider the singly reinforced beam shown in the figure below: At cross-section XX, which of the following statements is TRUE at the limit state?
A column of size 450 mm x 600 mm has unsupported length of 3.0 m and is braced against side sway in both directions. According to IS 456:2000, the minimum eccentricities (in mm) with respect to major
Two beams are connected by a linear spring as shown in the following figure. For a load P as shown in the figure, the percentage of the applied load P carried by the spring is __________.
A tapered circular rod of diameter varying from 20 mm to 10 mm is connected to another uniform circular rod of diameter 10 mm as shown in the following figure. Both bars are made of same material with
A simply supported reinforced concrete beam of length 10 m sags while undergoing shrinkage. Assuming a uniform curvature of 0.004 along the span, the maximum deflection (in m) of the beam at mid-span
For the plane stress situation shown in the figure, the maximum shear stress and the plane on which it acts are:
In a system,two connected rigid bars AC and BC are of identical length, L with pin supports at A and B. The bars are interconnected at C by a frictionless hinge. The rotation of the hinge is restraine
Two triangular wedges are glued together as shown in the following figure. The stress acting normal to the interface, is _____ MPa.
A steel strip of length, L = 200 mm is fixed at end A and rests at B on a vertical spring of stiffness, k = 2 N/mm. The steel strip is 5 mm wide and 10 mm thick. A vertical load, P = 50 N is applied a
A horizontal beam ABC is loaded as shown in the figure below. The distance of the point of contraflexure from end A (in m) is _________.
A bracket plate connected to a column flange transmits a load of 100 kN as shown in the following figure. The maximum force for which the bolts should be designed is ___________ kN.
Prying forces are:
A fixed end beam is subjected to a load, W at 1/3rd span from the left support as shown in the figure. The collapse load of the beam is:
For formation of collapse mechanism in the following figure, the minimum value of is . and denote the plastic moment capacities of beam sections as shown in this figure. The value of c is _____.
A steel member 'M' has reversal of stress due to live loads, whereas another member 'N' has reversal of stress due to wind load. As per IS 800:2007, the maximum slenderness ratio permitted is:
A simply supported beam AB of span, L=24 m is subjected to two wheel loads acting at a distance, d=5m apart as shown in the figure below. Each wheel transmits a load, P=3 kN and may occupy any positio
For the 2D truss with the applied loads shown below, the strain energy in the member XY is _______ kN-m. For member XY, assume AE = 30 kN, where A is cross-section area and E is the modulus of elastic
For the beam shown below, the value of the support moment M is __________ kN-m.
For the beam shown below, the stiffness coefficient can be written as
A guided support as shown in the figure below is represented by three springs (horizontal, vertical and rotational) with stiffness respectively. The limiting values of are:
A superspeedway in New Delhi has among the highest super-elevation rates of any track on the Indian Grand Prix circuit. The track requires drivers to negotiate turns with a radius of 335 m and 33 bank
The relation between speed u (in km/h) and density k (number of vehicles/km) for a traffic stream on a road is u=70-0.7k. The capacity on this road is _________vph (vehicles/hour).
On a circular curve, the rate of superelevation is e. While negotiating the curve a vehicle comes to a stop. It is seen that the stopped vehicle does not slide inwards (in the radial direction). The c
The penetration value of a bitumen sample tested at 25 C is 80. When this sample is heated to 60 C and tested again, the needle of the penetration test apparatus penetrates the bitumen sample by d mm.
In Marshall method of mix design, the coarse aggregate, fine aggregate, fines and bitumen having respective values of specific gravity 2.60, 2.70, 2.65 and 1.01, are mixed in the relative proportions
A sign is required to be put up asking drivers to slow down to 30 km/h before entering zone Y (see figure). On this road, vehicles require 174 m to slow down to 30 kmn/h (the distance of 174 m include
Which of the following statements CANNOT be used to describe free flow speed ( ) of a traffic stream?
The acceleration time relationship for a vehicle subjected to non-uniform acceleration is, Where, v is the speed in m/s, t is the time in s, and are parameters, and is the initial speed in m/s. If the
Match the information related to test on aggregates given in Group-I with that in Group-II.
The following statements are made related to the lengths of turning lanes at signalized intersections: (i) 1.5 times the average number of vehicles (by vehicle type) that would store in turning lane p