GATE CE 2024 Set 1
Paper was held on Sun, Feb 12, 2023 4:00 AM
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## GATE CE

Concrete of characteristic strength 30 MPa is required. If 40 specimens of concrete cubes are to be tested, the minimum
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Consider the statements P and Q.P: Client’s Preliminary Estimate is used for budgeting costs toward the end of planning
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Which one of the following statements related to bitumen is FALSE?
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The smallest positive root of the equation $$x^5 - 5 x^4 - 10 x^3 + 50 x^2 + 9 x - 45 = 0$$ lies in the range
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The second-order differential equation in an unknown function $$u : u(x, y)$$ is defined as $$\frac{\partial^2 u}{\par View Question The probability that a student passes only in Mathematics is \frac{1}{3}. The probability that the student passes only View Question For the following partial differential equation,x \frac{\partial^2 f}{\partial x^2} + y \frac{\partial^2 f}{\partial y^ View Question Consider the data of f(x) given in the table. table { width: 100%; border-collapse: collapse; margin: 20px 0; } View Question What are the eigenvalues of the matrix \begin{bmatrix} 2 & 1 & 1 \\ 1 & 4 & 1 \\ 1 & 1 & 2 \end{bmatrix} ? View Question A vector field \vec{p} and a scalar field r are given by:\vec{p} = (2x^2 - 3xy + z^2) \hat{i} + (2y^2 - 3yz + x^2) View Question The return period of a large earthquake for a given region is 200 years. Assuming that earthquake occurrence follows Poi View Question A 2 m × 2 m tank of 3 m height has inflow, outflow and stirring mechanisms. Initially, the tank was half-filled with fre View Question The beam shown in the figure is subjected to a uniformly distributed downward load of intensity q between supports A a View Question The following table gives various components of Municipal Solid Waste (MSW) and a list of treatment/separation technique View Question The primary air pollutant(s) is/are View Question For assessing the compliance with the emissions standards of incineration plants, a correction needs to be applied to th View Question Activated carbon is used to remove a pollutant from wastewater in a mixed batch reactor, which follows first-order react View Question A water treatment plant treats 25 MLD water with a natural alkalinity of 4.0 mg/L (as CaCO3). It is estimated that, duri View Question The number of degrees of freedom for a natural open channel flow with a mobile bed is View Question A 30 cm diameter well fully penetrates an unconfined aquifer of saturated thickness 20 m with hydraulic conductivity of View Question A flow velocity field \vec{V} : \vec{V}(x, y) for a fluid is represented by\vec{V} = 3 \hat{i} + (5x) \hat{j}In the View Question A standard round bottom triangular canal section as shown in the figure has a bed slope of 1 in 200. Consider the Chezy’ View Question A 5 m × 5 m closed tank of 10 m height contains water and oil, and is connected to an overhead water reservoir as shown View Question During a half-moon phase, the Earth-Moon-Sun form a right triangle. If the Moon-Earth-Sun angle at this half-moon phase View Question If the number of sides resulting in a closed traverse is increased from three to four, the sum of the interior angles in View Question A surveyor observes a zenith angle of 93° 00′ 00″ during a theodolite survey. The corresponding vertical angle is View Question Among the following statements relating the fundamental lines of a transit theodolite, which one is CORRECT? View Question A map is prepared with a scale of 1:1000 and a contour interval of 1 m. If the distance between two adjacent contours on View Question A 2 m wide strip footing is founded at a depth of 1.5 m below the ground level in a homogeneous pure clay bed. The clay View Question Consider the statements P and Q.P: Soil particles formed by mechanical weathering, and close to their origin are general View Question An embankment is constructed with soil by maintaining the degree of saturation as 75% during compaction. The specific gr View Question A vertical smooth rigid retaining wall is supporting horizontal ground with dry cohesionless backfill having a friction View Question Which of the following statement(s) is/are CORRECT? View Question The total primary consolidation settlement (S_c) of a building constructed on a 10 m thick saturated clay layer is est View Question An infinite slope is made up of cohesionless soil with seepage parallel to and up to the sloping surface. The angle of s View Question A soil sample was consolidated at a cell pressure of 20 kPa and a back pressure of 10 kPa for 24 hours during a consolid View Question The ordinates of a 1-hour unit hydrograph (UH) are given below. table { width: 100%; border-collapse: collapse; View Question A spillway has unit discharge of 7.5 m3/s/m. The flow depth at the downstream horizontal apron is 0.5 m. The tail water View Question The following figure shows the arrangement of formwork for casting a cantilever RC beam.The correct sequence of removing View Question Consider a balanced doubly-reinforced concrete section. If the material and other sectional properties remain unchanged, View Question An inverted T-shaped concrete beam (B1) in the figure, with centroidal axis X – X, is subjected to an effective prestres View Question The initial cost of an equipment is Rs. 1,00,000. Its salvage value at the end of accounting life of 5 years is Rs. 10,0 View Question A slab panel with an effective depth of 250 mm is reinforced with 0.2% main reinforcement using 8 mm diameter steel bars View Question The elements that DO NOT increase the strength of structural steel are View Question The three-dimensional state of stress at a point is given by$$\sigma = \begin{pmatrix} 10 & 0 & 0 \\ 0 & 40 & 0 \\ 0 &
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Find the correct match between the plane stress states and the Mohr’s circles.
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A homogeneous shaft PQR with fixed supports at both ends is subjected to a torsional moment T at point Q, as shown in th
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The plane frame shown in the figure has fixed support at joint A, hinge support at joint F, and roller support at joint
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The plane truss shown in the figure has 13 joints and 22 members. The truss is made of a homogeneous, prismatic, linearl
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A car is travelling at a speed of 60 km/hr on a section of a National Highway having a downward gradient of 2%. The driv
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As per the International Civil Aviation Organization (ICAO), the basic runway length is increased by $x$ (%) for every $View Question The free mean speed is 60 km/hr on a given road. The average space headway at jam density on this road is 8 m. For a lin View Question The number of trains and their corresponding speeds for a curved Broad Gauge section with 437 m radius, are20 trains tra View Question The figure presents the trajectories of six vehicles within a time-space domain. The number in the parentheses represent View Question The following data is obtained from an axle load survey at a site:Average rear axle load = 12000 kgNumber of commercial View Question A bird is resting on a point P at a height of 8 m above the Mean Sea Level (MSL). Upon hearing a loud noise, the bird fl View Question ## General Aptitude If ‘→’ denotes increasing order of intensity, then the meaning of the words [simmer → seethe → smolder] is analogous to View Question In a locality, the houses are numbered in the following way:The house-numbers on one side of a road are consecutive odd View Question For positive integers$p$and$q$, with$\frac{p}{q} \neq 1$,$\left(\frac{p}{q}\right)^\frac{p}{q}= p^{\left(\frac{p}{q
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Which one of the given options is a possible value of x in the following sequence? 3, 7, 15, x, 63, 127, 255
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On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock tim
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In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks.From the ancient Athenian
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Three distinct sets of indistinguishable twins are to be seated at a circular table that has 8 identical chairs. Unique
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The chart given below compares the Installed Capacity (MW) of four power generation technologies, T1, T2, T3, and T4, an
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In the $4 \times 4$ array shown below, each cell of the first three columns has either a cross (X) or a number, as per t
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