GATE CE 2024 Set 1

Paper was held on
Sun, Feb 12, 2023 4:00 AM

## GATE CE

Concrete of characteristic strength 30 MPa is required. If 40 specimens of concrete cubes are to be tested, the minimum

View Question Consider the statements P and Q.P: Client’s Preliminary Estimate is used for budgeting costs toward the end of planning

View Question Which one of the following statements related to bitumen is FALSE?

View Question 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

View Question 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.
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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.
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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 &

View Question Find the correct match between the plane stress states and the Mohr’s circles.

View Question A homogeneous shaft PQR with fixed supports at both ends is subjected to a torsional moment T at point Q, as shown in th

View Question The plane frame shown in the figure has fixed support at joint A, hinge support at joint F, and roller support at joint

View Question The plane truss shown in the figure has 13 joints and 22 members. The truss is made of a homogeneous, prismatic, linearl

View Question 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

View Question 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

View Question Which one of the given options is a possible value of x in the following sequence? 3, 7, 15, x, 63, 127, 255

View Question 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

View Question In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks.From the ancient Athenian

View Question Three distinct sets of indistinguishable twins are to be seated at a circular table that has 8 identical chairs. Unique

View Question The chart given below compares the Installed Capacity (MW) of four power generation technologies, T1, T2, T3, and T4, an

View Question 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

View Question