Recent questions tagged gatecivil-2022-set1

2 2 votes
2 2 answers
You should ___________ when to say _______________.no/nono / knowknow / knowknow / no
6 6 votes
2 2 answers
Two straight lines pass through the origin $(x_{0}, y_{0}) = (0, 0)$. One of them passes through the point $(x_{1}, y_{1}) = (1, 3)$ and the other passes through the poin...
4 4 votes
5 5 answers
If$p : q = 1:2$$q : r = 4 : 3$$r : s = 4 : 5$and $u$ is $50\%$ more than $s$, what is the ratio $p : u$?$2 : 15$$16 : 15$$1 : 5$$16 : 45$
8 8 votes
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Given the statements:$\text{P}$ is the sister of $\text{Q}$.$\text{Q}$ is the husband of $\text{R}$.$\text{R}$ is the mother of $\text{S}$.$\text{T}$ is the husband of $\...
5 5 votes
2 2 answers
In the following diagram, the point $\text{R}$ is the center of the circle. The lines $\text{PQ}$ and $\text{ZV}$ are tangential to the circle. The relation among the are...
2 2 votes
2 2 answers
Healthy eating is a critical component of healthy aging. When should one start eating healthy? It turns out that it is never too early. For example, babies who start eati...
3 3 votes
4 4 answers
$\text{P}$ invested ₹$5000$ per month for $6$ months of a year and $\text{Q}$ invested ₹$x$ per month for $8$ months of the year in a partnership business. The profit is...
6 6 votes
2 2 answers
The above frequency chart shows the frequency distribution of marks obtained by a set of students in an exam.From the data presented above, which one of the following is ...
7 7 votes
6 6 answers
In the square grid shown on the left, a person standing at $\text{P2}$ position is required to move to $\text{P5}$ position.The only movement allowed for a step involves,...
5 5 votes
2 2 answers
Consider a cube made by folding a single sheet of paper of appropriate shape. The interior faces of the cube are all blank. However, the exterior faces that are not visib...
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Consider the following expression: $$z = \sin \left ( y + it \right ) + \cos \left ( y - it \right )$$ where $\text{z, y}$ and $t$ are variables, and $i = \sqrt{-1}$ is a...
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For the equation $$\frac{d^{3}y}{dx^{3}} + x \left ( \frac{dy}{dx} \right )^{\frac{3}{2}}+ x^{2}y=0$$ the correct description isan ordinary differential equation of order...
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The hoop stress at a point on the surface of a thin cylindrical pressure vessel is computed to be $30.0\text{ MPa}$. The value of maximum shear stress at this point is$7...
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In the context of elastic theory of reinforced concrete, the modular ratio is defined as the ratio ofYoung's modulus of elasticity of reinforcement material to Young's mo...
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Which of the following equations is correct for the Pozzolanic reaction?$\text{Ca(OH)}_{2}$ + Reactive Superplasticiser + $H_{2}O \rightarrow \text{C-S-H}$$\text{Ca(OH)}_...
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Consider the cross-section of a beam made up of thin uniform elements having thickness $t\left (t < < a \right )$ shown in the figure. The $(x, y)$ coordinates of the poi...
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Four different soils are classified as $\text{CH, ML, SP, and SW}$, as per the Unified Soil Classification System. Which one of the following options correctly represents...
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Let $\sigma _{v}^{'}$ and $\sigma _{h}^{'}$ denote the effective vertical stress and effective horizontal stress, respectively. Which one of the following conditions must...
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With respect to fluid flow, match the following in Column $X$ with Column $Y$:$$\begin{array}{|l|l|} \hline \qquad \textbf{Column X} & \qquad \textbf{Column Y} \\ \hline...
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Let $\psi$ represent soil suction head and $K$ represent hydraulic conductivity of the soil. If the soil moisture content $\theta$ increases, which one of the following s...
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​​​​​​A rectangular channel with Gradually Varied Flow $\text{(GVF)}$ has a changing bed slope. If the change is from a steeper slope to a steep slope, the resulting $\te...
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The total hardness in raw water is $500$ milligram per liter as $CaCO_{3}$. The total hardness of this raw water, expressed in milligram equivalent per liter, is(Consider...
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An aerial photograph is taken from a flight at a height of $3.5$ $\text{km}$ above mean sea level, using a camera of focal length $152$ $\text{mm}$. If the average ground...
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A line between stations $P$ and $Q$ laid on a slope of $1$ in $5$ was measured as $350\; m$ using a $50\; m$ tape. The tape is known to be shortly by $0.1\; m$.The correc...
0 0 votes
1 1 answer
The matrix $M$ is defined as $$M = \begin{bmatrix} 1 & 3\\ 4 & 2 \end{bmatrix}$$ and has eigenvalues $5$ and $-2$. The matrix $Q$ is formed as $$Q = M^{3} - 4M^{2} - 2M$$...
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For wastewater coming from a wood pulping industry, Chemical Oxygen Demand $\text{(COD)}$ and $5$-day Biochemical Oxygen Demand $\text{(BOD}_{5})$ were determined. For th...
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1 1 answer
Which of the following process(es) can be used for conversion of salt water into fresh water?MicrofiltrationElectrodialysisUltrafiltrationReverse osmosis
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A horizontal curve is to be designed in a region with limited space. Which of the following measure(s) can be used to decrease the radius of curvature?Decrease the design...
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Consider the following recursive iteration scheme for different values of variable $P$ with the initial guess $x_{1} =1$: $$x_{n + 1} = \frac{1}{2}\left ( x_{n} + \frac{P...
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The Fourier cosine series of a function is given by : $$f\left ( x \right ) = \sum_{n = 0}^{\infty} f_{n} \cos nx$$ For $f\left ( x \right ) = \cos^{4} x$, the numerical ...
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An uncompacted heap of soil has a volume of $10000\: m^{3}$ and void ratio of $1$. If the soil is compacted to a volume of $7500\: m^{3}$, then the corresponding void rat...
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A concentrated vertical load of $3000$ $\text{kN}$ is applied on a horizontal ground surface. Points $P$ and $Q$ are at depths $1 \:m$ and $2\: m$ below the ground, respe...
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At a site, Static Cone Penetration Test was carried out. The measured point (tip) resistance $q_{c}$ was $1000$ $\text{kPa}$ at a certain depth. The friction ratio $(f_{r...
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During a particular stage of the growth of a crop, the consumptive use of water is $2.8$ $\text{mm}$/day. The amount of water available in the soil is $50\%$ of the maxim...
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The bearing of a survey line is $N31 ^{\circ} 17’W$. Its azimuth observed from north is _________________ deg. (round off to two decimal places)
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The Cartesian coordinates of a point $P$ in a right-handed coordinate system are $(1, 1, 1)$. The transformed coordinates of $P$ due to a $45^{\circ}$ clockwise rotation ...
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A semi-circular bar of radius $\text{R m}$, in a vertical plane, is fixed at the end $G$, as shown in the figure. A horizontal load of magnitude $\text{P kN}$ is applied ...
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A weld is used for joining an angle section $\text{ISA}$ $100 \:mm \times 100\:mm \times 10 \:mm$ to a gusset plate of thickness $15$ $\text{mm}$ to transmit a tensile lo...
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The project activities are given in the following table along with the duration and dependency.$$\begin{array}{|c|c|} \hline \textbf{Activities} & \textbf{Duration (days...
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As per Rankine's theory of earth pressure, the inclination of failure planes is $\left ( 45 + \frac{\phi }{2} \right )^{\circ}$ with respect to the direction of the minor...