GATE CE 2023 Set 1
Paper was held on Sun, Feb 12, 2023 4:00 AM
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## GATE CE

In cement concrete mix design, with the increase in water-cement ratio, which one of the following statements is TRUE?
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For the integral&nbsp;$\rm I=\displaystyle\int^1_{-1}\frac{1}{x^2}dx$ which of the following statements is TRUE?&nbsp;
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If M is an arbitrary real n × n matrix, then which of the following matrices will have non-negative eigenvalues?&nbsp;
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The following function is defined over the interval [-L, L]: f(x) = px4&nbsp;+ qx5. If it is expressed as a Fourier se
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The probabilities of occurrences of two independent events A and B are 0.5 and 0.8, respectively. What is the probabilit
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In the differential equation&nbsp;$\frac{dy}{dx}+\alpha\ x\ y =0, \alpha$&nbsp;is a positive constant. If y = 1.0 at x =
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A function f(x), that is smooth and convex-shaped between interval (xl , su) is shown in the figure. This function is ob
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For the matrix $[A]= \begin{bmatrix}1&amp;2&amp;3\\\ 3&amp;2&amp;1\\\ 3&amp;1&amp;2 \end{bmatrix}$ which of the follo
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For the function f(x) = ex&nbsp;|sin x|; x ∈ ℝ, which of the following statements is/are TRUE?
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The differential equation, $\rm \frac{du}{dt}+2tu^2=1,$ is solved by employing a backward difference scheme within the
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Which one of the following statements is TRUE for Greenhouse Gas (GHG) in the atmosphere?
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Identify the waterborne diseases caused by viral pathogens:
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Which of the following statements is/are TRUE for the Refuse-Derived Fuel (RDF) in the context of Municipal Solid Waste
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In the following table, identify the correct set of associations between the entries in Column - 1 and Column-2.
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Which of the following statements is/are TRUE in relation to the Maximum Mixing Depth (or Height) ‘Dmax’ in the atmosphe
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The composition and energy content of a representative solid waste sample are given in the table. If the moisture conten
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A flocculator tank has a volume of 2800 m3. The temperature of water in the tank is 15°C, and the average velocity gradi
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The wastewater inflow to an activated sludge plant is 0.5 m3/s, and the plant is to be operated with a food to microorga
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When a supercritical stream enters a mild-sloped (M) channel section, the type of flow profile would become _________.
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G1 and G2 are the slopes of the approach and departure grades of a vertical curve, respectively. Given |G1| &lt; |G2| a
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A very wide rectangular channel carries a discharge (Q) of 70 m3/s per meter width. Its bed slope changes from 0.0001 to
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A jet of water having a velocity of 20 m/s strikes a series of plates fixed radially on a wheel revolving in the same di
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A hydraulic jump occurs in a 1.0 m wide horizontal, frictionless, rectangular channel, with a pre-jump depth of 0.2 m an
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The direct and reversed zenith angles observed by a theodolite are 56°&nbsp;00' 00" and 303° 00' 00", respectively. What
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A student is scanning his 10 inch × 10 inch certificate at 600 dots per inch (dpi) to convert it to raster. What is the
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Trigonometric levelling was carried out from two stations P and Q to find the reduced level (R. L.) of the top of hilloc
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The specific gravity of a soil is 2.60. The soil is at 50% degree of saturation with a water content of 15%. The void ra
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A group of 9 friction piles are arranged in a square grid maintaining equal spacing in all directions. Each pile is of d
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A possible slope failure is shown in the figure. Three soil samples are taken from different locations (I, II and III) o
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A drained direct shear test was carried out on a sandy soil. Under a normal stress of 50 kPa, the test specimen failed a
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With reference to the compaction test conducted on soils, which of the following is INCORRECT?
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Consider that a force P is acting on the surface of a half-space (Boussinesq’s problem). The expression for the vertical
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A square footing of size 2.5 m × 2.5 m is placed 1.0 m below the ground surface on a cohesionless homogeneous soil strat
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A soil having the average properties, bulk unit weight = 19 kN/m3&nbsp;; angle of internal friction = 25° and cohesion =
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A smooth vertical retaining wall supporting layered soils is shown in figure. According to Rankine’s earth pressure theo
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A vertical trench is excavated in a clayey soil deposit having a surcharge load of 30 kPa. A fluid of unit weight 12 kN/
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The ordinates of a one-hour unit hydrograph for a catchment are given below:&nbsp;  \begin{array}{|l|l|l|l|l|l|l|l|l|
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A 12-hour storm occurs over a catchment and results in a direct runoff depth of 100 mm. The time-distribution of the rai
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In Horton’s equation fitted to the infiltration data for a soil, the initial infiltration capacity is 10 mm/h; final inf
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A canal supplies water to an area growing wheat over 100 hectares. The duration between the first and last watering is 1
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Creep of concrete under compression is defined as the _________.&nbsp;
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A singly reinforced concrete beam of balanced section is made of M20 grade concrete and Fe415 grade steel bars. The magn
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Consider a doubly reinforced RCC beam with the option of using either Fe250 plain bars or Fe500 deformed bars in the com
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Consider the fillet-welded lap joint shown in the figure (not to scale). The length of the weld shown is the effective l
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A hanger is made of two bars of different sizes. Each bar has a square cross-section. The hanger is loaded by three-poin
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Consider the horizontal axis passing through the centroid of the steel beam cross-section shown in the figure. What is t
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Consider the beam shown in the figure (not to scale), on a hinge support at end A and a roller support at end B. The bea
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The infinitesimal element shown in the figure (not to scale) represents the state of stress at a point in a body. What i
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The cross-section of a girder is shown in the figure (not to scale). The section is symmetric about a vertical axis (Y -
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Consider the following three structures :&nbsp; Structure I :&nbsp;Beam with hinge support at A, roller at C, guided ro
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Consider the pin-jointed truss shown in the figure (not to scale). All members have the same axial rigidity, AE. Members
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An idealised bridge truss is shown in the figure. The force in Member U2L3&nbsp;is __________ kN (round off to one decim
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For a horizontal curve, the radius of a circular curve is obtained as 300 m with the design speed as 15 m/s. If the allo
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A plot of speed-density relationship (linear) of two roads (Road A and Road B) is shown in the figure. If the capacit
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Which of the following options match the test reporting conventions with the given material tests in the table?
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## General Aptitude

“I have not yet decided what I will do this evening; I ______ visit a friend.”
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Eject : Insert : : Advance : _______ (By word meaning)
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In the given figure, PQRSTV is a regular hexagon with each side of length 5 cm. A circle is drawn with its centre at V s
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A duck named Donald Duck says “All ducks always lie.” Based only on the information above, which one of the following s
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A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror im
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Based only on the truth of the statement ‘Some humans are intelligent’, which one of the following options can be logica
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Which one of the options can be inferred about the mean, median, and mode for the given probability distribution (i.e. p
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The James Webb telescope, recently launched in space, is giving humankind unprecedented access to the depths of time by
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Let a = 30! , b = 50! , and c = 100! . Consider the following numbers: loga c, logc a, logb a, loga b Which one of the
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A square of side length 4 cm is given. The boundary of the shaded region is defined by one semi-circle on the top and tw
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