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201
GATE Civil 2023 Set 1 | Question: 9
When a supercritical stream enters a mild-sloped $(\mathrm{M})$ channel section, the type of flow profile would become _________. $\mathrm{M}_{1}$ $\mathrm{M}_{2}$ $\mathrm{M}_{3}$ $\mathrm{M}_{1}$ and $\mathrm{M}_{2}$
When a supercritical stream enters a mild-sloped $(\mathrm{M})$ channel section, the type of flow profile would become _________.$\mathrm{M}_{1}$$\mathrm{M}_{2}$ $\mathrm...
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204
GATE Civil 2023 Set 1 | Question: 12
The direct and reversed zenith angles observed by a theodolite are $56^{\circ} 00^{\prime} 00^{\prime \prime}$ and $303^{\circ} 00^{\prime} 00^{\prime \prime}$ ... $-0^{\circ} 30^{\prime} 00^{\prime \prime}$ $+0^{\circ} 30^{\prime} 00^{\prime \prime}$
The direct and reversed zenith angles observed by a theodolite are $56^{\circ} 00^{\prime} 00^{\prime \prime}$ and $303^{\circ} 00^{\prime} 00^{\prime \prime}$, respectiv...
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205
GATE Civil 2023 Set 1 | Question: 13
A student is scanning his $10 \text { inch } \times 10 \text { inch}$ certificate at $ 600 \text { dots per inch (dpi)}$ to convert it to raster. What is the percentage reduction in number of pixels if the same certificate is scanned at $300 \text { dpi? }$ $62$ $88$ $75$ $50$
A student is scanning his $10 \text { inch } \times 10 \text { inch}$ certificate at $ 600 \text { dots per inch (dpi)}$ to convert it to raster. What is the percentage r...
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206
GATE Civil 2023 Set 1 | Question: 14
If $\boldsymbol{M}$ is an arbitrary real $ n \times n $ matrix, then which of the following matrices will have non-negative eigenvalues? $\boldsymbol{M}^{2}$ $\boldsymbol{MM}^{T}$ $\boldsymbol{M}^{T} \boldsymbol{M}$ $\left(\boldsymbol{M}^{T}\right)^{2}$
If $\boldsymbol{M}$ is an arbitrary real $ n \times n $ matrix, then which of the following matrices will have non-negative eigenvalues?$\boldsymbol{M}^{2}$$\boldsymbol{M...
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207
GATE Civil 2023 Set 1 | Question: 15
The following function is defined over the interval $[-L, L]:$ $ f(x)=p x^{4}+q x^{5} .$ ... $q$ $b_{n}, n=1,2, \cdots, \infty$ depend on $p$ $b_{n}, n=1,2, \cdots, \infty$ depend on $q$
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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208
GATE Civil 2023 Set 1 | Question: 16
consider the following three structures: Which of the following statements is/are TRUE? Structure I is unstable Structure II is unstable Structure III is unstable All three structures are stable
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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209
GATE Civil 2023 Set 1 | Question: 17
Identify the waterborne diseases caused by viral pathogens: Acute anterior poliomyelitis Cholera Infectious hepatitis Typhoid fever
Identify the waterborne diseases caused by viral pathogens: Acute anterior poliomyelitisCholera Infectious hepatitis Typhoid fever
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211
GATE Civil 2023 Set 1 | Question: 19
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 least $\text {A}$ or $\text {B}$ (rounded off to one decimal place)? _____________
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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212
GATE Civil 2023 Set 1 | Question: 20
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____________ (rounded off to three decimal places).
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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214
GATE Civil 2023 Set 1 | Question: 22
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}$. The angle of internal friction of the sample is ______________ degree (round off to the nearest integer).
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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216
GATE Civil 2023 Set 1 | Question: 24
The ordinates of a one-hour unit hydrograph for a catchment are given below: ... $t=1$ hour and $10 \mathrm{~m}^{3} / \mathrm{s}$ at $t=2$ hour. The value of $D$ (in integer) is ______________.
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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219
GATE Civil 2023 Set 1 | Question: 27
Consider a doubly reinforced RCC beam with the option of using either $\text{Fe250}$ plain bars or $\text{Fe500}$ ... $\text{Fe500}$ deformed bars Neither $\text{Fe250}$ plain bars nor $\text{Fe500}$ deformed bars
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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220
GATE Civil 2023 Set 1 | Question: 28
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) for the cross-section? $1.5$ $1.7$ $1.3$ $ 2.0$
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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227
GATE Civil 2023 Set 1 | Question: 35
In the following table, identify the correct set of associations between the entries in Column-$1$ and Column-$2.$ ... $\text{Q-III, R-II, S-IV}$ $\text{P-IV, R-I, S-II}$ $\text{P-III, Q-I, R-IV}$
In the following table, identify the correct set of associations between the entries in Column-$1$ and Column-$2.$$$\begin{array}{|l|l|}\hline {\qquad \text{Column-1} } &...
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230
GATE Civil 2023 Set 1 | Question: 38
For the function $f(x)=e^{x}|\sin x|; x \in \mathbb{R},$ which of the following statements is/are TRUE? The function is continuous at all $x$ The function is differentiable at all $x$ The function is periodic The function is bounded
For the function $f(x)=e^{x}|\sin x|; x \in \mathbb{R},$ which of the following statements is/are TRUE? The function is continuous at all $x$The function is differentiabl...
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233
GATE Civil 2023 Set 1 | Question: 41
Which of the following options match the test reporting conventions with the given material tests in the table? ... $\text{(P) - (VI); (Q) - (III); (R) - (IV); (S) - (VII)}$
Which of the following options match the test reporting conventions with the given material tests in the table?$$\begin{array}{|l|l|}\hline \textbf{Test reporting convent...
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235
GATE Civil 2023 Set 1 | Question: 43
The infinitesimal element shown in the figure (not to scale) represents the state of stress at a point in a body. What is the magnitude of the maximum principal stress (in $\mathrm{N} / \mathrm{mm}^{2}$, in integer) at the point? _____________
The infinitesimal element shown in the figure (not to scale) represents the state of stress at a point in a body. What is the magnitude of the maximum principal stress (i...
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236
GATE Civil 2023 Set 1 | Question: 44
An idealised bridge truss is shown in the figure. The force in Member $U_2 L_3$ is $\mathrm{kN}$__________ (round off to one decimal place).
An idealised bridge truss is shown in the figure. The force in Member $U_2 L_3$ is $\mathrm{kN}$__________ (round off to one decimal place).
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237
GATE Civil 2023 Set 1 | Question: 45
The cross-section of a girder is shown in the figure (not to scale). The section is symmetric about a vertical axis $(Y-Y).$ The moment of inertia of the section about the horizontal axis $(X-X)$ passing through the centroid is _________ (round off to nearest integer).
The cross-section of a girder is shown in the figure (not to scale). The section is symmetric about a vertical axis $(Y-Y).$ The moment of inertia of the section about th...
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239
GATE Civil 2023 Set 1 | Question: 47
A smooth vertical retaining wall supporting layered soils is shown in figure. According to Rankine's earth pressure theory, the lateral active earth pressure acting at the base of the wall is ______________ $\mathrm{kPa}$ (round off to one decimal place).
A smooth vertical retaining wall supporting layered soils is shown in figure. According to Rankine's earth pressure theory, the lateral active earth pressure acting at th...
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