Recent questions tagged gatecivil-2025-set1

0 0 votes
2 2 answers
​Is there any good show $\_\_\_\_$ television tonight?Select the most appropriate option to complete the above sentence.inatwithinon
0 0 votes
1 1 answer
​​​​As the police officer was found guilty of embezzlement, he was _________ dismissed from the service in accordance with the Service Rules.Select the most appropriate o...
0 0 votes
0 0 answers
​​​​The sum of the following infinite series is:$$ \frac{1}{1!}+\frac{1}{2!}+\frac{1}{3!}+\frac{1}{4!}+\frac{1}{5!}+\cdots $$$\pi$$1+e$$e-1$$e$
1 1 vote
0 0 answers
​​​A thin wire is used to construct all the edges of a cube of $1 \: \mathrm{m}$ side by bending, cutting and soldering the wire. If the wire is $12 \: \mathrm{m}$ long, ...
0 0 votes
1 1 answer
​​​​​​The figures $I, II$ and $III$ are parts of a sequence. Which one of the following options comes next in the sequence at $IV$?
0 0 votes
1 1 answer
​​​​​"Why do they pull down and do away with crooked streets, I wonder, which are my delight, and hurt no man living? Every day the wealthier nations are pulling down one...
3 3 votes
1 1 answer
​​​​​Rohit goes to a restaurant for lunch at about $1$ PM. When he enters the restaurant, he notices that the hour and minute hands on the wall clock are exactly coincidi...
0 0 votes
0 0 answers
​​​​A color model is shown in the figure with color codes: Yellow (Y), Magenta (M), Cyan (Cy), Red (R), Blue (Bl), Green (G), and Black (K).Which one of the following opt...
1 1 vote
0 0 answers
​​​​​A circle with center at $(x, y)=(0.5,0)$ and radius $=0.5$ intersects with another circle with center at $(x, y)=(1,1)$ and radius $=1$ at two points. One of the poi...
1 1 vote
1 1 answer
​​​​​​An object is said to have an $n$-fold rotational symmetry if the object, rotated by an angle of $\frac{2 \pi}{n}$, is identical to the original.Which one of the fol...
0 0 votes
2 2 answers
​​​​​Suppose $\lambda$ is an eigenvalue of matrix $A$ and $x$ is the corresponding eigenvector. Let $x$ also be an eigenvector of the matrix $B=A-2 I$, where $I$ is the i...
0 0 votes
1 1 answer
​​​​Let $A=\left[\begin{array}{cc}1 & 1 \\ 1 & 3 \\ -2 & -3\end{array}\right]$ and $b=\left[\begin{array}{l}b_{1} \\ b_{2} \\ b_{3}\end{array}\right]$. For $A x=b$ to be ...
0 0 votes
0 0 answers
​​​​Which one of the following options is the correct Fourier series of the periodic function $f(x)$ described below:$$ f(x)=\begin{cases}0 & \text { if }-2 < x <-1 \\ 2...
0 0 votes
0 0 answers
​​​​​$X$ is a random variable that can take any one of the values $0,1,7,11$, and $12$ . The probability mass function for $X$ is$$\begin{array}{l}P(X=0)=0.4 ; \quad P(X=...
0 0 votes
0 0 answers
​​​As per $\mathrm{IS } \: 456: 2000$ provisions for two-way slabs with continuous edges, the longitudinal steel reinforcement to be provided in the edge strip is based o...
0 0 votes
1 1 answer
​​​​Identify the FALSE statement from the following options:The compressive strength of a concrete test specimen can vary depending on its shape and sizeAir-dried and sat...
0 0 votes
1 1 answer
The results of a consolidated drained triaxial test on a normally consolidated clay are shown in the figure. The angle of internal friction $\sin ^{-1}\left(\frac{1}{2}\r...
0 0 votes
1 1 answer
​​​​​The standard plasticity chart for the classification of a fine-grained soil is shown in the figure. As per the Indian standard soil classification system, $X$ repres...
0 0 votes
1 1 answer
​​​​​For a flowing fluid, a dimensionless combination of velocity $(V)$, length scale $(l)$, and acceleration due to gravity $(g)$ would be$\frac{V^{2}}{g l}$$\frac{V g}{...
0 0 votes
1 1 answer
​​​​To derive the total flood hydrograph at a catchment outlet from an isolated storm, the order in which the following methods are applied, from the first method to the ...
0 0 votes
1 1 answer
​​​​​Fecal Coliform (FC) concentration in river water was measured as $10780 \: \: \mathrm{cfu} / 100 \mathrm{ ml}$ . The FC concentration after the conventional water tr...
0 0 votes
0 0 answers
​​​​​A hydrocarbon $\left(\mathrm{C}_{\mathrm{n}} \mathrm{H}_{\mathrm{m}}\right)$ is burnt in air $\left(\mathrm{O}_{2}+3.78 \mathrm{~N}_{2}\right)$. The stoichiometric f...
0 0 votes
1 1 answer
​​​​All the vehicles that come during a particular peak hour come during a $10$-minute period within this hour. The $15$-minute peak hour factor for this peak hour is$0.2...
0 0 votes
1 1 answer
​​​​​​In the context of testing bitumen, which one of the following statements is FALSE:The depth of penetration of needle in the standard penetration test is measured in...
0 0 votes
1 1 answer
​​​​​​The maximum degree of the curve that can be used for railways in a mountainous region is$10$$20$$50$$40$
0 0 votes
1 1 answer
​​​​​​If the horizontal distance between a staff point and the point of observation is $d$, the error due to the curvature of earth is proportional to$d$$\frac{1}{d}$$d^{...
0 0 votes
1 1 answer
​​​​​​If the quadrantal bearing of a line is $\mathrm{N} 30^{\circ} \mathrm{W}$, then the whole circle bearing of the line is$120^{\circ}$$210^{\circ}$$300^{\circ}$$330^{...
0 0 votes
1 1 answer
​​​​​​Which of the following equations belong/belongs to the class of second-order, linear, homogeneous partial differential equations:$\frac{\partial^{2} u}{\partial t^{...
0 0 votes
0 0 answers
​​​​​Consider the frame shown in the figure under the loading of $100 \mathrm{kN} . \mathrm{m}$ couples at the joints $B$ and $G$. Considering only the effects of flexura...
0 0 votes
1 1 answer
​​​​For the Bernoulli's equation to be applicable in a fluid flow situation, which of the following conditions is/are to be satisfied:Fluid should be frictionlessFluid sh...
0 0 votes
1 1 answer
​​​​​​The Surface Overflow Rate (SOR) in a rectangular sedimentation tank is $45\: \mathrm{m}^{3} / \mathrm{m}^{2} / \mathrm{d}$. Minimum diameters of spherical inorganic...
0 0 votes
1 1 answer
​​​​​​Aeration is employed as a treatment option for the removal of several pollutants from contaminated water.Identify the pollutant(s), where aeration is employed as a ...
0 0 votes
0 0 answers
If the weights retained on the $2.36 \: \mathrm{~mm}, 1.18 \: \mathrm{~mm}, 600 \: \mu \mathrm{~m}$, and $300 \: \mu \mathrm{~m}$ sieves are $30 \%, 35 \%, 15 \%$, and $2...
0 0 votes
1 1 answer
A water resources project with an expected life of $25$ years has to be designed for an acceptable risk of $5 \%$ against a design flood. The return period for the design...
0 0 votes
0 0 answers
Road $A$ and Road $B$ are joined by a circular horizontal curve of radius $200 \: \mathrm{m}$ as shown in the figure. Road $A$ and Road $B$ are tangential to the curve at...
0 0 votes
1 1 answer
​​​​The value of $\lim _{x \rightarrow \infty}\left(x-\sqrt{x^{2}+x}\right)$ is equal to$-1$$-0.5$$-2$$0$
0 0 votes
0 0 answers
​​​In the rigid-jointed frame shown in the figure, the distribution factor of the member AD is closest to$0.254$$0.267$$0.398$$0.421$
0 0 votes
0 0 answers
​​​​In an oedometer apparatus a specimen of fully saturated clay has been consolidated under a vertical pressure of $100 \mathrm{ kPa}$ and is at equilibrium state. Immed...
0 0 votes
0 0 answers
​​​​​The mean rainfall over a catchment has to be estimated. The data for four rain gauges located in and around the catchment is listed in the table. Which one of the fo...
0 0 votes
1 1 answer
​​​​​The speed-density relation on a one-way, single lane road is shown in the figure, where speed $u$ is in km / hour and density $k$ is in vehicles / km. The maximum fl...