Practice Test: Gate Civil Engineering(CE) 2021 Paper: (Session I) - Civil Engineering (CE) MCQ

A function λ is defined by  

The value of expression 

Five line segments of equal lengths, PR, PS, QS, QT and RT are used to form a star as shown in the figure above.

The value of θ , in degrees, is_______ 

In a company, 35% of the employees drink coffee, 40% of the employees drink tea and 10% of the employees drink both tea adn coffee. What % of employees drink neither tea nor coffee?  

Statements: Either P marris Q or X marris Y  
Among the options below, the logical NEGATION of the above statement is : 

The mirror image of the above text about the X-axis is  

Human have the ability to construct worlds entirely in their minds, which don’t exist in the physical world. So far as we known, no other species possess this ability. This skill is so important that we have different words to refer to its different flavors, such as imagination, invention and innovation.
Based on above passage, which one of the following is TRUE? 

Getting to the top is ______ than staying on top  

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

If water in Reservoir 1 is contaminated then the time (in days, round off to one decimal place) taken by the contaminated water to reach to Reservoir 2 will be ________. 

A partially-saturated soil samples has natural moisture content of 25% and bulk unit weight of  18.5 kN/m³. The specific gravity of soil solids is 2.65 and unit weight of water is 9.81 kN/m³. The   unit weight of soil sample on full saturation is  

The shape of the most commonly deigned highway vertical curve is  

A water sample is analyzed for coliform organisms by the multiple-tube fermentation method. The results of confirmed test are follows: 

The most probable number (MPN) of coliform organisms for the above results is to be obtained using the following MPN Index. 

The MPN of coliform organisms per 100mL is 

The volume determined from  will be (in integer) _______. 

A combined trapezoidal footing of length L supports two identical square columns (P₁ and P₂) of size 0.5 m × 0.5m, as shown in the figure. The column P₁ and P₂ carry loads of 2000 kN and 1500 kN respectively.  

If the stress beneath the footing is uniform, the length of combined footing L (in m, round off to two decimal places) is __________  

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 

The value of abscissa (x) and ordinate (y) of curve are as follows: 

By Simpsons 1/3^rd rule, the area under the curve (round off to two decimal places) is _______ 

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 capacity condition, the average time headway will be. 

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 rate of 40 litres/sec from the well for long time results in a steady drowdown of 4 m at the well face. The subsurface flow to the well due to pumping is steady, horizontal, Darcian and the radius of influence of the well is 245 m. The hydraulic conductivity of the aquifer (in m/day, round off to integer) is______ 

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 activity “V” (in weeks, in integer) is ________. 

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

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 shown 

The CORRECT qualitative nature of the influence line diagram for shear force at G is 

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 of vertical forces to the net magnitude of horizontal forces (round off to two decimal places) is_______ 

Ammonia nitrogen is present in a given waste water sample as the ammonium ion  and ammonia 3
(NH₃). If pH is the only deciding factor for the proportion of these two constituents, which of the following is correct statement? 

An unsupported slope of height 15 m is shown in the figure (not to scale), in which the slope face makes an angle 50˚ with the horizontal. The slope material comprises purely cohesive soil having undrained cohesion 75 kPa. A trial slip circle KLM, with a radius 25 m, passes through the crest and toe of the slope and it subtends an angle 60˚ at its center O. The weight of the active soil mass (W, Bounded by KLMN) is 2500 kN/m, which is acting at a horizontal distance of 10 m from the toe of the slope. Consider the water table to be present at a very large depth from the ground surface. 

Considering the trial slip circle KLM, the factor of safety against the failure of slope under undrained condition (round off to two decimal places) is_________ 

Which one of the following is correct?  

A bag house filter has to treat 12m³/s 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 the other 4 sections continue to operate. An air-to-cloth ratio of 6.0m³/min-m² cloth will provide sufficient treatment to the gas. The individual bags are of 32 cm in diameter and 5 m in length. The total number of bags (in integer) required in the baghouse is_______ 

The cohesion (c), angle of internal friction (ϕ) and unit weight (γ) of a soil are 15 kPa, 20° and 17.5 kN/m³ , respectively. The maximum depth of unsupported excavation in the soil (in m, round off to two decimal places) is _________. 

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 R = 500 ×10³ kN , P = 150 kN and L = 3 m, the magnitude of the horizontal displacement of joint G (in mm round off to one decimal place)is __________.