GATE 2020 Civil Engineering
62 questions across 1 session
It is a common criticism that most of the academicians live in their ______, so, they are not aware of the real life challenges.
In the following partial differential equation, $\theta$ is a function of $t$ and $z$, and $D$ and $K$ are functions of $\theta$ $D(\theta)\frac{\partial^2\theta}{\partial z^2} + \...
The value of $\lim_{x\to\infty} \frac{x^2-5x+4}{4x^2+2x}$ is
His hunger for reading is insatiable. He reads indiscriminately. He is most certainly a/an ______ reader.
The true value of $\ln(2)$ is 0.69. If the value of $\ln(2)$ is obtained by linear interpolation between $\ln(1)$ and $\ln(6)$, the percentage of absolute error (round off to the n...
The area of an ellipse represented by an equation $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$ is
If 0, 1, 2, ...,7, 8, 9 are coded as O, P, Q, ..., V, W, X, then 45 will be coded as ______.
The sum of two positive numbers is 100. After subtracting 5 from each number, the product of the resulting numbers is 0. One of the original numbers is ______.
Consider the planar truss shown in the figure (not drawn to the scale) Neglecting self-weight of the members, the number of zero-force members in the truss under the action of the...
A reinforcing steel bar, partially embedded in concrete, is subjected to a tensile force P. The figure that appropriately represents the distribution of the magnitude of bond stres...
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The American psychologist Howard Gardner expounds that human intelligence can be sub-categorised into multiple kinds, in such a way that individuals differ with respect to their re...
In a two-dimensional stress analysis, the state of stress at a point P is [σ] = [σxx τxy τxy σyy] The necessary and sufficient condition for existence of the state of pure shear at...
Five friends P, Q, R, S and T went camping. At night, they had to sleep in a row inside the tent. P, Q and T refused to sleep next to R since he snored loudly. P and S wanted to av...
During the process of hydration of cement, due to increase in Dicalcium Silicate (C2S) content in cement clinker, the heat of hydration
Insert seven numbers between 2 and 34, such that the resulting sequence including 2 and 34 is an arithmetic progression. The sum of these inserted seven numbers is
The Los Angeles test for stone aggregates is used to examine
The unit's place in 26591749^110016 is
Which one of the following statements is NOT correct?
In a soil investigation work at a site, Standard Penetration Test (SPT) was conducted at every 1.5 m interval up to 30 m depth. At 3 m depth, the observed number of hammer blows fo...
Velocity of flow is proportional to the first power of hydraulic gradient in Darcy's law. This law is applicable to
A body floating in a liquid is in a stable state of equilibrium if its
Uniform flow with velocity U makes an angle $\theta$ with the y-axis, as shown in the figure The velocity potential ($\phi$), is
The data for an agricultural field for a specific month are given below: Pan Evaporation = 100 mm Effective Rainfall = 20 mm (after deducting losses due to runoff and deep percolat...
During chlorination process, aqueous (aq) chlorine reacts rapidly with water to form Cl-, HOCl, and H+ as shown below Cl₂ (aq) + H₂O ⇌ HOCl + Cl⁻ + H⁺ The most active disinfectant...
An amount of 35.67 mg HCl is added to distilled water and the total solution volume is made to one litre. The atomic weights of H and Cl are 1 and 35.5, respectively. Neglecting th...
The probability that a 50 year flood may NOT occur at all during 25 years life of a project (round off to two decimal places), is _________.
A planar elastic structure is subjected to uniformly distributed load, as shown in the figure (not drawn to the scale) Neglecting self-weight, the maximum bending moment generated...
In an urban area, a median is provided to separate the opposing streams of traffic. As per IRC:86-1983, the desirable minimum width (in m, expressed as integer) of the median, is _...
A road in a hilly terrain is to be laid at a gradient of 4.5%. A horizontal curve of radius 100 m is laid at a location on this road. Gradient needs to be eased due to combination...
In a drained triaxial compression test, a sample of sand fails at deviator stress of 150 kPa under confining pressure of 50 kPa. The angle of internal friction (in degree, round of...
A fully submerged infinite sandy slope has an inclination of 30° with the horizontal. The saturated unit weight and effective angle of internal friction of sand are 18 kN/m³ and 38...
A 4 m wide rectangular channel carries 6 m³/s of water. The Manning's 'n' of the open channel is 0.02. Considering g = 9.81 m/s², the critical velocity of flow (in m/s, round off t...
A river has a flow of 1000 million litres per day (MLD), BOD₅ of 5 mg/litre and Dissolved Oxygen (DO) level of 8 mg/litre before receiving the wastewater discharge at a location. F...
For the Ordinary Differential Equation $\frac{d^2x}{dt^2} - 5\frac{dx}{dt} + 6x = 0$, with initial conditions $x(0) = 0$ and $\frac{dx}{dt}(0) = 10$, the solution is
A continuous function f(x) is defined. If the third derivative at $x_i$ is to be computed by using the fourth order central finite-divided-difference scheme (with step length = h),...
Distributed load(s) of 50 kN/m may occupy any position(s) (either continuously or in patches) on the girder PQRST as shown in the figure (not drawn to the scale) The maximum negati...
A rigid weightless platform PQRS shown in the figure (not drawn to the scale) can slide freely in the vertical direction. The platform is held in position by the weightless member...
A cantilever beam PQ of uniform flexural rigidity (EI) is subjected to a concentrated moment M at R as shown in the figure. The deflection at the free end Q is
A dowel bar is placed at a contraction joint. When contraction occurs, the concrete slab cracks at predetermined location(s). Identify the arrangement, which shows the correct plac...
The relationship between traffic flow rate (q) and density (D) is shown in the figure The shock wave condition is depicted by
The appropriate design length of a clearway is calculated on the basis of 'Normal Take-off' condition. Which one of the following options correctly depicts the length of the clearw...
The total stress paths corresponding to different loading conditions, for a soil specimen under the isotropically consolidated stress state (O), are shown below The correct match b...
The soil profile at a site up to a depth of 10 m is shown in the figure (not drawn to the scale). The soil is preloaded with a uniform surcharge (q) of 70 kN/m² at the ground level...
Water flows at the rate of 12 m³/s in a 6 m wide rectangular channel. A hydraulic jump is formed in the channel at a point where the upstream depth is 30 cm (just before the jump)....
A water supply scheme transports 10 MLD (Million Litres per Day) water through a 450 mm diameter pipeline for a distance of 2.5 km. A chlorine dose of 3.50 mg/litre is applied at t...
An open traverse PQRST is surveyed using theodolite and the consecutive coordinates obtained are given in the table Consecutive Coordinates Line Northing (m) Southing (m) Easting (...
If C represents a line segment between (0,0,0) and (1,1,1) in Cartesian coordinate system, the value (expressed as integer) of the line integral $\int_C [(y+z)dx+(x+z)dy+ (x + y)dz...
Consider the system of equations $\begin{bmatrix} 1 & 3 & 2 \\ 2 & 2 & -3 \\ 4 & 4 & -6 \\ 2 & 5 & 2 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \\ x_3 \end{bmatrix} = \begin{bmatrix}...
The flange and web plates of the doubly symmetric built-up section are connected by continuous 10 mm thick fillet welds as shown in the figure (not drawn to the scale). The moment...
The singly reinforced concrete beam section shown in the figure (not drawn to the scale) is made of M25 grade concrete and Fe500 grade reinforcing steel. The total cross-sectional...
A simply supported prismatic concrete beam of rectangular cross-section, having a span of 8 m, is prestressed with an effective prestressing force of 600 kN. The eccentricity of th...
Traffic volume count has been collected on a 2-lane road section which needs upgradation due to severe traffic flow condition. Maximum service flow rate per lane is observed as 128...
A vertical retaining wall of 5 m height has to support soil having unit weight of 18 kN/m³, effective cohesion of 12 kN/m², and effective friction angle of 30°. As per Rankine's ea...
Water flows in the upward direction in a tank through 2.5 m thick sand layer as shown in the figure. The void ratio and specific gravity of sand are 0.58 and 2.7, respectively. The...
A 10 m thick clay layer is resting over a 3 m thick sand layer and is submerged. A fill of 2 m thick sand with unit weight of 20 kN/m³ is placed above the clay layer to accelerate...
In a homogeneous unconfined aquifer of area 3.00 km², the water table was at an elevation of 102.00 m. After a natural recharge of volume 0.90 million cubic meter (Mm³), the water...
A circular water tank of 2 m diameter has a circular orifice of diameter 0.1 m at the bottom. Water enters the tank steadily at a flow rate of 20 litre/s and escapes through the or...
Surface Overflow Rate (SOR) of a primary settling tank (discrete settling) is 20000 litre/m² per day. Kinematic viscosity of water in the tank is 1.01×10⁻² cm²/s. Specific gravity...
A gaseous chemical has a concentration of 41.6 µmol/m³ in air at 1 atm pressure and temperature 293 K. The universal gas constant R is 82.05×10⁻⁶ (m³ atm)/(mol K). Assuming that id...
A stream with a flow rate of 5 m³/s is having an ultimate BOD of 30 mg/litre. A wastewater discharge of 0.20 m³/s having BOD₅ of 500 mg/litre joins the stream at a location and ins...
The lengths and bearings of a traverse PQRS are: Segment Length (m) Bearing PQ 40 80° QR 50 10° RS 30 210° The length of line segment SP (in m, round off to two decimal places), is