Recent questions tagged gatecivil-2022-set2

3 3 votes
2 2 answers
The movie was funny and I __________.could help laughingcouldn’t help laughedcouldn’t help laughingcould helped laughed
3 3 votes
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$x:y:z = \frac{1}{2} : \frac{1}{3} : \frac{1}{4}.$What is the value of $\frac{x+z-y}{y} ?$$0.75$$1.25$$2.25$$3.25$
6 6 votes
2 answers 2 answers
Both the numerator and the denominator of $\dfrac{3}{4}$ are increased by a positive integer, $x,$ and those of $\dfrac{15}{17}$ are decreased by the same integer. This o...
2 2 votes
2 2 answers
A survey of $450$ students about their subjects of interest resulted in the following outcome.$150$ students are interested in Mathematics.$200$ students are interested i...
5 5 votes
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For the picture shown above, which one of the following is the correct picture representing reflection with respect to the mirror shown as the dotted line?
2 2 votes
2 2 answers
In the last few years, several new shopping malls were opened in the city. The total number of visitors in the malls is impressive. However, the total revenue generated t...
4 4 votes
2 2 answers
In a partnership business, the monthly investment by three friends for the first six months is in the ratio $3:4:5.$ After six months, they had to increase their monthly ...
4 4 votes
2 2 answers
Consider the following equations of straight lines:$\text{Line L1}: 2x – 3y = 5$$\text{Line L2}: 3x + 2y = 8$$\text{Line L3}: 4x – 6y = 5$$\text{Line L4}: 6x – 9y = 6$Whi...
3 3 votes
2 2 answers
Given below are two statements and four conclusions drawn based on the statements.Statement $1:$ Some soaps are clean.Statement $2:$ All clean objects are wet.Conclusion ...
9 9 votes
5 5 answers
An ant walks in a straight line on a plane leaving behind a trace of its movement. The initial position of the ant is at point $\text{P}$ facing east.The ant first turns ...
0 0 votes
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The function $f(x,y)$ satisfies the Laplace equation $$\bigtriangledown^{2}f(x,y) = 0$$on a circular domain of radius $r=1$ with its center at point $P$ with coordinates$...
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$\displaystyle{}\int \left( x-\frac{x^{2}}{2} + \frac{x^{3}}{3} – \frac{x^{4}}{4} + \dots \right) dx$ is equal to$\frac{1}{1+x} + $ Constant$\frac{1}{1+x^{2}} + $ Consta...
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For a linear elastic and isotropic material, the correct relationship among Young’s modulus of elasticity $(E)$, Poisson’s ratio $(\nu),$ and shear modulus $(G)$ is$G= \f...
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Read the following statements relating to flexure of reinforced concrete beams:In over-reinforced sections, the failure strain in concrete reaches earlier than the yield ...
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Match all the possible combinations between Column X (Cement compounds) and Column Y (Cement properties):$$\begin{array} {|l|l|} \hline \textbf{Column X} & \qquad \textbf...
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Consider a beam $\text{PQ}$ fixed at $\text{P},$ hinged at $\text{Q},$ and subjected to a load $F$ as shown in figure (not drawn to scale). The static and kinematic degre...
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Read the following statements:While designing a shallow footing in sandy soil, monsoon season is considered for critical design in terms of bearing capacity.For slope sta...
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Stresses acting on an infinitesimal soil element are shown in the figure (with $\sigma_{z} \sigma_{x}$). The major and minor principal stresses are $\sigma_{1}$ and $\si...
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Match $\textbf{Column X}$ and $\textbf{Column Y}:$$$\begin{array} {|l|l|} \hline \quad \textbf{Column X} & \qquad \textbf{Column Y} \\\hline \text{(P) Horton equation} ...
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In a certain month, the reference crop evapotranspiration at a location is $6 \; \text{mm/day.}$ If the crop coefficient and soil coefficient are $1.2$ and $0.8,$ respect...
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The dimension of dynamic viscosity is:$\text{ML}^{-1} \text{T}^{-1}$$\text{ML}^{-1} \text{T}^{-2}$$\text{ML}^{-2} \text{T}^{-2}$$\text{ML}^{0} \text{T}^{-1}$
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A process equipment emits $5 \; \text{kg/h}$ of volatile organic compounds $\text{(VOCs)}$. If a hood placed over the process equipment captures $95\%$ of the $\text{VOCs...
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Match the following attributes of a city with the appropriate scale of measurements.$$\begin{array} {|l|l|} \hline \qquad \qquad \qquad \textbf{Attribute} & \textbf{ Sca...
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If the magnetic bearing of the Sun at a place at noon is $\text{S} \; 2^{\circ} \; \text{E},$ the magnetic declination (in $\textbf{degrees}$) at that place is$2^{\circ} ...
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1 1 answer
$\text{P}$ and $\text{Q}$ are two square matrices of the same order. Which of the following statement(s) is/are correct?If $\text{P}$ and $\text{Q}$ are invertible, then ...
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In a solid waste handling facility, the moisture contents $\text{(MC)}$ of food waste, paper waste, and glass waste were found to be $\text{MCf, MCp},$ and $\text{MCg,}$ ...
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To design an optimum municipal solid waste collection route, which of the following is/are $\text{NOT}$ desired:Collection vehicle should not travel twice down the same s...
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For a traffic stream, $v$ is the space mean speed, $k$ is the density, $q$ is the flow, $\nu_{f}$ is the free flow speed, and $k_{j}$ is the jam density. Assume that the ...
2 2 votes
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The error in measuring the radius of a $5 \; \text{cm}$ circular rod was $0.2 \%.$ If the cross-sectional area of the rod was calculated using this measurement, then the ...
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The components of pure shear strain in a sheared material are given in the matrix form:$$ \varepsilon = \begin{bmatrix} 1 & 1 \\ 1 & – 1 \end{bmatrix}$$Here, $\text{Trace...
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The inside diameter of a sample tube is $50 \; \text{mm}.$ The inside diameter of the cutting edge is kept such that the Inside Clearance Ratio $\text{(ICR)}$ is $1.0 \%$...
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A concentrically loaded isolated square footing of size $2 \; \text{m} \times 2 \; \text{m}$ carries a concentrated vertical load of $1000 \; \text{kN}.$ Considering Bous...
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In a triaxial unconsolidated undrained $\text{(UU)}$ test on a saturated clay sample, the cell pressure was $100 \; \text{kPa}.$ If the deviatoric stress at failure was $...
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A flood control structure having an expected life of $n$ years is designed by considering a flood of return period $T$ years. When $T = n,$ and $n \rightarrow \infty,$ th...
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1 1 answer
The base length of the runway at the mean sea level $\text{(MSL)}$ is $1500 \; \text{m}.$ If the runway is located at an altitude of $300 \; \text{m}$ above the $\text{(M...
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Consider the polynomial $f(x) = x^{3} – 6x^{2} + 11x – 6$ on the domain $S$ given by $1 \leq x \leq 3.$ The first and second derivatives are $f’(x)$ and $f’’(x).$Consider...
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An undamped spring-mass system with mass $m$ and spring stiffness $k$ is shown in the figure. The natural frequency and natural period of this system are $\omega \; \text...
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For the square steel beam cross-section shown in the figure, the shape factor about $z – z$ axis is $S$ and the plastic moment capacity is $M_{p}.$ Consider yield stress ...
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Match the following in $\textbf{Column X}$ with $\textbf{Column Y}:$$\begin{array} {|l|l|} \hline \qquad \qquad \qquad \qquad \qquad \textbf{Column X} & \textbf{Column Y}...
1 1 vote
1 1 answer
A soil sample is underlying a water column of height $h_{1},$ as shown in the figure. The vertical effective stresses at points $\text{A, B,}$ and $\text{C}$ are $\sigma’...