Recent questions tagged gatecivil-2023-set1

5 5 votes
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"I have not yet decided what I will do this evening; I ______ visit a friend."mite wouldmight didn't
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Eject : Insert : : Advance : _________(By word meaning) Advent ProgressRetreat Loan
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In the given figure, $\text{PQRSTV}$ is a regular hexagon with each side of length $5\mathrm{~cm}.$ A circle is drawn with its centre at $ \mathrm{V}$ such that it passes...
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A duck named Donald Duck says "All ducks always lie."Based only on the information above, which one of the following statements can be logically inferred with certainty? ...
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A line of symmetry is defined as a line that divides a figure into two parts in a way such that each part is a mirror image of the other part about that line.The figure b...
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Based only on the truth of the statement 'Some humans are intelligent', which one of the following options can be logically inferred with certainty?No human is intelligen...
7 7 votes
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Which one of the options can be inferred about the mean, median, and mode for the given probability distribution (i.e. probability mass function), $P(x)$, of a variable $...
3 3 votes
1 answers 1 answer
The James Webb telescope, recently launched in space, is giving humankind unprecedented access to the depths of time by imaging very old stars formed almost $13$ billion ...
8 8 votes
4 answers 4 answers
Let $a=30 !, b=50!,$ and $c=100!.$ Consider the following numbers:$$\log _a c, \quad \log _c a, \quad \log _b a, \quad \log _a b$$Which one of the following inequalities ...
8 8 votes
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A square of side length $4 \mathrm{~cm}$ is given. The boundary of the shaded region is defined by one semi-circle on the top and two circular arcs at the bottom, each of...
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For the integral$$I=\int_{-1}^{1} \frac{1}{x^{2}} d x$$which of the following statements is $\text{TRUE?}$ $I=0$ $I=2$$I=-2$ The integral does not converge
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A hanger is made of two bars of different sizes. Each bar has a square cross-section. The hanger is loaded by three-point loads in the mid vertical plane as shown in the ...
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Creep of concrete under compression is defined as the _________. increase in the magnitude of strain under constant stress increase in the magnitude of stress under const...
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A singly reinforced concrete beam of balanced section is made of $\text{M20}$ grade concrete and $\text{Fe 415}$ grade steel bars. The magnitudes of the maximum compressi...
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In cement concrete mix design, with the increase in water-cement ratio, which one of the following statements is TRUE? Compressive strength decreases but workability incr...
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The specific gravity of a soil is $2.60$. The soil is at $50 \%$ degree of saturation with water content of $15 \%$. The void ratio of the soil is _______.0.350.780.871.2...
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A group of $9$ friction piles are arranged in a square grid maintaining equal spacing in all directions. Each pile is of diameter $300 \mathrm{~mm}$ and length $7 \mathrm...
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A possible slope failure is shown in the figure. Three soil samples are taken from different locations $\text{(I, II}$ and $\text{III)}$ of the potential failure plane. W...
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When a supercritical stream enters a mild-sloped $(\mathrm{M})$ channel section, the type of flow profile would become _________.$\mathrm{M}_{1}$$\mathrm{M}_{2}$ $\mathrm...
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Which one of the following statements is TRUE for Greenhouse Gas $(\mathrm{GHG})$ in the atmosphere?$\mathrm{GHG}$ absorbs the incoming short wavelength solar radiation t...
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$G_1$ and $G_2$ are the slopes of the approach and departure grades of a vertical curve, respectively.Given $\left|G_1\right|<\left|G_2\right|$ and $\left|G_1\right| \neq...
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The direct and reversed zenith angles observed by a theodolite are $56^{\circ} 00^{\prime} 00^{\prime \prime}$ and $303^{\circ} 00^{\prime} 00^{\prime \prime}$, respectiv...
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A student is scanning his $10 \text { inch } \times 10 \text { inch}$ certificate at $ 600 \text { dots per inch (dpi)}$ to convert it to raster. What is the percentage r...
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If $\boldsymbol{M}$ is an arbitrary real $ n \times n $ matrix, then which of the following matrices will have non-negative eigenvalues?$\boldsymbol{M}^{2}$$\boldsymbol{M...
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The following function is defined over the interval $[-L, L]:$ $$ f(x)=p x^{4}+q x^{5} .$$If it is expressed as a Fourier series, $$f(x)=a_{0}+\sum_{n=1}^{\infty}\left\{a...
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consider the following three structures:Which of the following statements is/are TRUE?Structure I is unstableStructure II is unstableStructure III is unstableAll three st...
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Identify the waterborne diseases caused by viral pathogens: Acute anterior poliomyelitisCholera Infectious hepatitis Typhoid fever
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Which of the following statements is/are TRUE for the Refuse-Derived Fuel (RDF) in the context of Municipal Solid Waste (MSW) management? Higher Heating Value (HHV) of th...
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The probabilities of occurrences of two independent events $\text {A}$ and $\text {B}$ are $0.5$ and $0.8,$ respectively. What is the probability of occurrence of at leas...
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1 1 answer
In the differential equation $\frac{d y}{d x}+\alpha x y=0, \alpha$ is a positive constant. If $y=1.0$ at $x=0.0$, and $y=0.8$ at $x=1.0$, the value of $\alpha$ is_______...
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Consider the fillet-welded lap joint shown in the figure (not to scale). The length of the weld shown is the effective length. The welded surfaces meet at right angle. Th...
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A drained direct shear test was carried out on a sandy soil. Under a normal stress of $50 \mathrm{~kPa},$ the test specimen failed at a shear stress of $35 \mathrm{~kPa}$...
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A canal supplies water to an area growing wheat over $100$ hectares. The duration between the first and last watering is $120$ days, and the total depth of water required...
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1 1 answer
The ordinates of a one-hour unit hydrograph for a catchment are given below:$$\begin{array}{|l|l|l|l|l|l|l|l|l|}\hline \text{t(hour)} & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 \\\h...
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For a horizontal curve, the radius of a circular curve is obtained as $300 \mathrm{~m}$ with the design speed as $15 \mathrm{~m} / \mathrm{s}$. If the allowable jerk is $...
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A function $f(x)$, that is smooth and convex-shaped between interval $\left(x_l, x_u\right)$ is shown in the figure. This function is observed at odd number of regularly ...
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Consider a doubly reinforced RCC beam with the option of using either $\text{Fe250}$ plain bars or $\text{Fe500}$ deformed bars in the compression zone. The modulus of el...
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Consider the horizontal axis passing through the centroid of the steel beam cross-section shown in the figure. What is the shape factor (rounded off to one decimal place)...
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Consider the pin-jointed truss shown in the figure (not to scale). All members have the same axial rigidity, $A E$. Members $\mathrm{QR}, \mathrm{RS}$, and $\mathrm{ST}$ ...
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With reference to the compaction test conducted on soils, which of the following is $\text { INCORRECT?}$Peak point of the compaction curve gives the maximum dry unit wei...