Recent questions tagged gatecivil-2024-set1 / GO Civil

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GATE Civil 2024 Set 1 | GA Question: 1
If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words [simmer $\rightarrow$ seethe $\rightarrow$ smolder] is analogous to [break $\rightarrow$ raze $\_\_\_\_\_\_ $ $\rightarrow$ ] Which one of the given options is appropriate to fill the blank? obfuscate obliterate fracture fissure

If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words [simmer $\rightarrow$ seethe $\rightarrow$ smolder] is analogous ...

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GATE Civil 2024 Set 1 | GA Question: 2
In a locality, the houses are numbered in the following way: The house-numbers on one side of a road are consecutive odd integers starting from $301$, while the house-numbers on the other side of the road are consecutive even numbers starting from $302$. The total ... the road is $27$, then the number of houses on each side of the road is $27$ $52$ $54$ $26$

In a locality, the houses are numbered in the following way:The house-numbers on one side of a road are consecutive odd integers starting from $301$, while the house-numb...

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GATE Civil 2024 Set 1 | GA Question: 3
For positive integers $p$ and $q$, with $\frac{p}{q} \neq 1,\left(\frac{p}{q}\right)^{\frac{p}{q}}=p^{\left(\frac{p}{q}-1\right)}$. Then, $q^{p}=p^{q}$ $q^{p}=p^{2 q}$ $\sqrt{q}=\sqrt{p}$ $\sqrt[p]{q}=\sqrt[q]{p}$

For positive integers $p$ and $q$, with $\frac{p}{q} \neq 1,\left(\frac{p}{q}\right)^{\frac{p}{q}}=p^{\left(\frac{p}{q}-1\right)}$. Then,$q^{p}=p^{q}$$q^{p}=p^{2 q}$$\sqr...

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4

GATE Civil 2024 Set 1 | GA Question: 4
Which one of the given options is a possible value of $x$ in the following sequence? \[ 3,7,15, x, 63,127,255 \] $35$ $40$ $45$ $31$

Which one of the given options is a possible value of $x$ in the following sequence?\[3,7,15, x, 63,127,255\]$35$$40$$45$$31$

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5

GATE Civil 2024 Set 1 | GA Question: 5
On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time $12:05:00$ hours to $12: 55: 00$ hours? $51$ $49$ $50$ $55$

On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time $12:05:00$ hours to $12: 55: 00$ ...

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GATE Civil 2024 Set 1 | GA Question: 6
In the given text, the blanks are numbered $\text{(i)-(iv)}$. Select the best match for all the blanks. From the ancient Athenian arena to the modern Olympic stadiums, athletics (i) the potential for a spectacle. The crowd (ii) with bated breath as the ... $\text{(i)}$ holds $\text{(ii)}$ waits $\text{(iii)}$ culminate $\text{(iv)}$ pivots

In the given text, the blanks are numbered $\text{(i)-(iv)}$. Select the best match for all the blanks.From the ancient Athenian arena to the modern Olympi...

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7

GATE Civil 2024 Set 1 | GA Question: 7
Three distinct sets of indistinguishable twins are to be seated at a circular table that has $8$ identical chairs. Unique seating arrangements are defined by the relative positions of the people. How many unique seating arrangements are possible such that each person is sitting next to their twin? $12$ $14$ $10$ $28$

Three distinct sets of indistinguishable twins are to be seated at a circular table that has $8$ identical chairs. Unique seating arrangements are defined ...

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8

GATE Civil 2024 Set 1 | GA Question: 8
The chart given below compares the Installed Capacity (MW) of four power generation technologies, $\text{T}1, \text{T}2, \text{T}3$, and $\text{T}4$, and their Electricity Generation (MWh) in a time of $1000$ hours (h). The Capacity Factor of a power ... of the given technologies has the highest Capacity Factor? $\text{T}1$ $\text{T}2$ $\text{T}3$ $\text{T}4$

The chart given below compares the Installed Capacity (MW) of four power generation technologies, $\text{T}1, \text{T}2, \text{T}3$, and $\text{T}4$, and their Electricit...

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9

GATE Civil 2024 Set 1 | GA Question: 9
In the $4 \times 4$ array shown below, each cell of the first three columns has either a cross $(X)$ or a number, as per the given rule. \begin{array}{|l|l|l|l|} \hline 1 & 1 & 2 & \\ \hline 2 & X & 3 ... , right, top, bottom, diagonals). As per this rule, the maximum number of crosses possible in the empty column is $0$ $1$ $2$ $3$

In the $4 \times 4$ array shown below, each cell of the first three columns has either a cross $(X)$ or a number, as per the given rule.\begin{array}{|l|l|...

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10

GATE Civil 2024 Set 1 | GA Question: 10
During a half-moon phase, the Earth-Moon-Sun form a right triangle. If the Moon-Earth-Sun angle at this half-moon phase is measured to be $89.85^{\circ}$, the ratio of the Earth-Sun and Earth-Moon distances is closest to $328$ $382$ $238$ $283$

During a half-moon phase, the Earth-Moon-Sun form a right triangle. If the Moon-Earth-Sun angle at this half-moon phase is measured to be $89.85^{\circ}$, the ratio of th...

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11

GATE Civil 2024 Set 1 | Question: 1
The smallest positive root of the equation \[ x^{5}-5 x^{4}-10 x^{3}+50 x^{2}+9 x-45=0 \] lies in the range $0 < x \leq 2$ $2 < x \leq 4$ $6 \leq x \leq 8$ $10 \leq x \leq 100$

The smallest positive root of the equation\[x^{5}-5 x^{4}-10 x^{3}+50 x^{2}+9 x-45=0\]lies in the range$0 < x \leq 2$$2 < x \leq 4$$6 \leq x \leq 8$$10 \le...

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12

GATE Civil 2024 Set 1 | Question: 2
The second-order differential equation in an unknown function $u: u(x, y)$ is defined as \[ \frac{\partial^{2} u}{\partial x^{2}}=2 \] Assuming $g: g(x), f: f(y)$, and $h: h(y)$, the general solution of the above differential equation is $u=x^{2}+f(y)+g(x)$ $u=x^{2}+x f(y)+h(y)$ $u=x^{2}+x f(y)+g(x)$ $u=x^{2}+f(y)+y g(x)$

The second-order differential equation in an unknown function $u: u(x, y)$ is defined as\[\frac{\partial^{2} u}{\partial x^{2}}=2\]Assuming $g: g(x), f: f(...

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13

GATE Civil 2024 Set 1 | Question: 3
The probability that a student passes only in Mathematics is $\frac{1}{3}$. The probability that the student passes only in English is $\frac{4}{9}$. The probability that the student passes in both of these subjects is $\frac{1}{6}$. The probability that the ... one of these two subjects is $\frac{17}{18}$ $\frac{11}{18}$ $\frac{14}{18}$ $\frac{1}{18}$

The probability that a student passes only in Mathematics is $\frac{1}{3}$. The probability that the student passes only in English is $\frac{4}{9}$. Th...

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14

GATE Civil 2024 Set 1 | Question: 4
The three-dimensional state of stress at a point is given by \[ \sigma=\left(\begin{array}{ccc} 10 & 0 & 0 \\ 0 & 40 & 0 \\ 0 & 0 & 0 \end{array}\right) \mathrm{MPa} . \] The maximum shear stress at the point is $20 \mathrm{MPa}$ $15 \mathrm{MPa}$ $5 \mathrm{MPa}$ $25 \mathrm{MPa}$

The three-dimensional state of stress at a point is given by\[\sigma=\left(\begin{array}{ccc}10 & 0 & 0 \\0 & 40 & 0 \\0 & 0 & 0\end{array}\right) \mathrm{MPa} .\]The max...

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15

GATE Civil 2024 Set 1 | Question: 5
Concrete of characteristic strength $30 \mathrm{MPa}$ is required. If $40$ specimens of concrete cubes are to be tested, the minimum number of specimens having at least $30 \mathrm{MPa}$ strength should be $35$ $37$ $38$ $39$

Concrete of characteristic strength $30 \mathrm{MPa}$ is required. If $40$ specimens of concrete cubes are to be tested, the minimum number of specimens having at least $...

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16

GATE Civil 2024 Set 1 | Question: 6
Consider the statements $\text{P}$ and $\text{Q}$. $\text{P}$: Client's Preliminary Estimate is used for budgeting costs toward the end of planning and design phase. $\text{Q}$: Client's Detailed Estimate is used for controlling costs during the execution ... Both $\mathrm{P}$ and $\mathrm{Q}$ are FALSE $\mathrm{P}$ is FALSE and $\mathrm{Q}$ is TRUE

Consider the statements $\text{P}$ and $\text{Q}$.$\text{P}$: Client's Preliminary Estimate is used for budgeting costs toward the end of planning and design phase.$\text...

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17

GATE Civil 2024 Set 1 | Question: 7
The following figure shows the arrangement of formwork for casting a cantilever $\mathrm{RC}$ ...

The following figure shows the arrangement of formwork for casting a cantilever $\mathrm{RC}$ beam.The correct sequence of removing the Shores/Props is$\mathrm{S} 1 \righ...

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18

GATE Civil 2024 Set 1 | Question: 8
A $2 \mathrm{~m}$ wide strip footing is founded at a depth of $1.5 \mathrm{~m}$ below the ground level in a homogeneous pure clay bed. The clay bed has unit cohesion of $40 \mathrm{kPa}$. Due to seasonal ... peak monsoon period, the net ultimate bearing capacity of the footing, as per Terzaghi's theory, will remain the same decrease increase become zero

A $2 \mathrm{~m}$ wide strip footing is founded at a depth of $1.5 \mathrm{~m}$ below the ground level in a homogeneous pure clay bed. The clay bed has uni...

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19

GATE Civil 2024 Set 1 | Question: 9
Consider the statements $\text{P}$ and $\text{Q}$. $\text{P}$: Soil particles formed by mechanical weathering, and close to their origin are generally subrounded. $\text{Q}$: Activity of the clay physically signifies its swell potential. Which one of the following ... $\mathrm{\text{P}}$ and $\mathrm{Q}$ are FALSE $\mathrm{P}$ is FALSE and $\mathrm{Q}$ is TRUE

Consider the statements $\text{P}$ and $\text{Q}$.$\text{P}$: Soil particles formed by mechanical weathering, and close to their origin are generally subrounded.$\text{Q}...

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20

GATE Civil 2024 Set 1 | Question: 10
The number of degrees of freedom for a natural open channel flow with a mobile bed is $2$ $3$ $4$ $5$

The number of degrees of freedom for a natural open channel flow with a mobile bed is$2$$3$$4$$5$

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21

GATE Civil 2024 Set 1 | Question: 11
The following table gives various components of Municipal Solid Waste (MSW) and a list of treatment/separation techniques. \begin{array}{|l|l|} \hline \text{Component of MSW} & \text{Treatment/separation technique} \\ \hline \text{P - Ferrous metals} & \text{i - Incineration} ... $\text{P-iii, Q-iv, R-ii, S-i}$ $\text{P-iv, Q-iii, R-i, S-ii}$

The following table gives various components of Municipal Solid Waste (MSW) and a list of treatment/separation techniques.\begin{array}{|l|l|}\hline \text{...

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22

GATE Civil 2024 Set 1 | Question: 12
A car is travelling at a speed of $60 \mathrm{~km} / \mathrm{hr}$ on a section of a National Highway having a downward gradient of $2 \%$. The driver of the car suddenly observes a stopped vehicle on the car path at a distance $130 \mathrm{~m}$ ahead, and applies ... the car to a safe stop lies in the range $126$ to $130$ $41$ to $45$ $33$ to $37$ $75$ to $79$

A car is travelling at a speed of $60 \mathrm{~km} / \mathrm{hr}$ on a section of a National Highway having a downward gradient of $2 \%$. The driver of the car suddenly ...

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23

GATE Civil 2024 Set 1 | Question: 13
As per the International Civil Aviation Organization (ICAO), the basic runway length is increased by $x(\%)$ for every $y(\mathrm{~m})$ raise in elevation from the Mean Sea Level (MSL). The values of $x$ and $y$, respectively, are $7 \%$ and $300 \mathrm{~m}$ $5 \%$ and $200 \mathrm{~m}$ $4 \%$ and $500 \mathrm{~m}$ $10 \%$ and $1000 \mathrm{~m}$

As per the International Civil Aviation Organization (ICAO), the basic runway length is increased by $x(\%)$ for every $y(\mathrm{~m})$ raise in elevation ...

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24

GATE Civil 2024 Set 1 | Question: 14
Which one of the following statements related to bitumen is FALSE? Kinematic viscosity is a measure of resistance to the flow of molten bitumen under gravity. Softer grade bitumen possesses higher softening point than hard grade bitumen. ... specified test conditions. Ductility test is carried out on bitumen to test its adhesive property and ability to stretch.

Which one of the following statements related to bitumen is FALSE?Kinematic viscosity is a measure of resistance to the flow of molten bitumen under gravity.Softer grade ...

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25

GATE Civil 2024 Set 1 | Question: 15
If the number of sides resulting in a closed traverse is increased from three to four, the sum of the interior angles increases by $90^{\circ}$ $180^{\circ}$ $270^{\circ}$ $360^{\circ}$

If the number of sides resulting in a closed traverse is increased from three to four, the sum of the interior angles increases by$90^{\circ}$$180^{\circ}$...

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26

GATE Civil 2024 Set 1 | Question: 16
A surveyor observes a zenith angle of $93^{\circ} 00^{\prime} 00^{\prime \prime}$ during a theodolite survey. The corresponding vertical angle is $-03^{\circ} 00^{\prime} 00^{\prime \prime}$ $+03^{\circ} 00^{\prime} 00^{\prime \prime}$ $-87^{\circ} 00^{\prime} 00^{\prime \prime}$ $+87^{\circ} 00^{\prime} 00^{\prime \prime}$

A surveyor observes a zenith angle of $93^{\circ} 00^{\prime} 00^{\prime \prime}$ during a theodolite survey. The corresponding vertical angle is$-03^{\circ} 00^{\prime} ...

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27

GATE Civil 2024 Set 1 | Question: 17
Among the following statements relating the fundamental lines of a transit theodolite, which one is CORRECT? The line of collimation must be perpendicular to the horizontal axis at its intersection with the vertical axis. The axis of altitude level ... to the vertical axis. The Vernier of vertical circle must read zero when the line of collimation is vertical.

Among the following statements relating the fundamental lines of a transit theodolite, which one is CORRECT?The line of collimation must be perpendicular to the horizonta...

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28

GATE Civil 2024 Set 1 | Question: 18
For the following partial differential equation, \[ x \frac{\partial^{2} f}{\partial x^{2}}+y \frac{\partial^{2} f}{\partial y^{2}}=\frac{x^{2}+y^{2}}{2} \] which of the following option(s) is/are CORRECT? elliptic for $x>0$ and $y>0$ parabolic for $x>0$ and $y>0$ elliptic for $x=0$ and $y>0$ hyperbolic for $x<0$ and $y>0$

For the following partial differential equation,\[x \frac{\partial^{2} f}{\partial x^{2}}+y \frac{\partial^{2} f}{\partial y^{2}}=\frac{x^{2}+y^{2}}{2}\...

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29

GATE Civil 2024 Set 1 | Question: 19
The elements that DO NOT increase the strength of structural steel are Carbon Manganese Sulphur Chlorine

The elements that DO NOT increase the strength of structural steel areCarbonManganeseSulphurChlorine

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30

GATE Civil 2024 Set 1 | Question: 20
Consider a balanced doubly-reinforced concrete section. If the material and other sectional properties remain unchanged, for which of the following cases will the section becomes under-reinforced? Area of tension reinforcement ... compression reinforcement is increased. Area of tension reinforcement is decreased. Area of compression reinforcement is decreased.

Consider a balanced doubly-reinforced concrete section. If the material and other sectional properties remain unchanged, for which of the following cases will the section...

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31

GATE Civil 2024 Set 1 | Question: 21
The primary air pollutant(s) is/are Sulfur dioxide Lead Ozone Sulphuric acid

The primary air pollutant(s) is/areSulfur dioxideLeadOzoneSulphuric acid

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32

GATE Civil 2024 Set 1 | Question: 22
Consider the data of $f(x)$ given in the table. \begin{array}{|c|c|c|c|} \hline i & 0 & 1 & 2 \\ \hline x_{i} & 1 & 2 & 3 \\ \hline f\left(x_{i}\right) & 0 & 0.3010 & 0.4771 \\ \hline ... value of $f(1.5)$ estimated using second-order Newton's interpolation formula is $\_\_\_\_\_\_$. (rounded off to $2$ decimal places).

Consider the data of $f(x)$ given in the table.\begin{array}{|c|c|c|c|}\hline i & 0 & 1 & 2 \\\hline x_{i} & 1 & 2 & 3 \\\hline f\left(x_{i}\right) & 0 & 0.3010 & 0.4771 ...

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33

GATE Civil 2024 Set 1 | Question: 23
The plane frame shown in the figure has fixed support at joint $\text{A}$, hinge support at joint $\text{F}$, and roller support at joint $\text{I}$. In the figure, $\text{A}$ to $\text{I}$ indicate joints of the frame. If the axial deformations are neglected, the degree of kinematic indeterminacy is $\_\_\_\_\_\_$. (in integer).

The plane frame shown in the figure has fixed support at joint $\text{A}$, hinge support at joint $\text{F}$, and roller support at joint $\text{I}$. In the figure, $\tex...

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34

GATE Civil 2024 Set 1 | Question: 24
An embankment is constructed with soil by maintaining the degree of saturation as $75 \%$ during compaction. The specific gravity of soil is 2.68 and the moisture content is $17 \%$ ... $\_\_\_\_\_\_\_$. (rounded off to $2$ decimal places).

An embankment is constructed with soil by maintaining the degree of saturation as $75 \%$ during compaction. The specific gravity of soil is 2.68 and the moisture content...

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35

GATE Civil 2024 Set 1 | Question: 25
A $30 \mathrm{~cm}$ diameter well fully penetrates an unconfined aquifer of saturated thickness $20 \mathrm{~m}$ with hydraulic conductivity of $10 \mathrm{~m} /$ ... $\_\_\_\_\_\_\_\_$. (rounded off to $2$ decimal places).

A $30 \mathrm{~cm}$ diameter well fully penetrates an unconfined aquifer of saturated thickness $20 \mathrm{~m}$ with hydraulic conductivity of $10 \mathrm{~m} /$ day. Un...

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36

GATE Civil 2024 Set 1 | Question: 26
What are the eigenvalues of the matrix $\left[\begin{array}{lll}2 & 1 & 1 \\ 1 & 4 & 1 \\ 1 & 1 & 2\end{array}\right]$ ? $1,2,5$ $1,3,4$ $-5,1,2$ $-5,-1,2$

What are the eigenvalues of the matrix $\left[\begin{array}{lll}2 & 1 & 1 \\ 1 & 4 & 1 \\ 1 & 1 & 2\end{array}\right]$ ?$1,2,5$$1,3,4$$-5,1,2$$-5,-1,2$

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37

GATE Civil 2024 Set 1 | Question: 27
A vector field $\vec{p}$ and a scalar field $r$ are given by \[ \begin{aligned} \vec{p} & =\left(2 x^{2}-3 x y+z^{2}\right) \hat{\imath}+\left(2 y^{2}-3 y z+x^{2}\right) \hat{\jmath}+\left(2 z^{2}-3 x z+x^{2}\right) \ ... $\text{P}$ is TRUE and $\text{Q}$ is FALSE $\mathrm{P}$ is FALSE and $\mathrm{Q}$ is TRUE Both $\mathrm{P}$ and $\mathrm{Q}$ are TRUE

A vector field $\vec{p}$ and a scalar field $r$ are given by\[\begin{aligned}\vec{p} & =\left(2 x^{2}-3 x y+z^{2}\right) \hat{\imath}+\left(2 y^{2}-3 y z+x...

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GATE Civil 2024 Set 1 | Question: 28
Find the correct match between the plane stress states and the Mohr's circles. $\text{(P)-(III); (Q)-(IV); (R)-(I); (S)-(II)}$ $\text{(P)-(III); (Q)-(II); (R)-(I); (S)-(IV)}$ $\text{(P)-(I); (Q)-(IV); (R)-(III); (S)-(II)}$ $\text{(P)-(I); (Q)-(II); (R)-(III); (S)-(IV)}$

Find the correct match between the plane stress states and the Mohr's circles.$\text{(P)-(III); (Q)-(IV); (R)-(I); (S)-(II)}$$\text{(P)-(III); (Q)-(II); (R...

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39

GATE Civil 2024 Set 1 | Question: 33
For assessing the compliance with the emissions standards of incineration plants, a correction needs to be applied to the measured concentrations of air pollutants. The emission standard (based on $11 \%$ Oxygen) for $\mathrm{HCl}$ ... is lesser than the emission standard. No compliance, as the Oxygen is greater than $11 \%$ in the flue gas.

For assessing the compliance with the emissions standards of incineration plants, a correction needs to be applied to the measured concentrations of air...

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40

GATE Civil 2024 Set 1 | Question: 34
The free mean speed is $60 \mathrm{~km} / \mathrm{hr}$ on a given road. The average space headway at jam density on this road is $8 \mathrm{~m}$. For a linear speed-density relationship, the maximum flow (in veh/hr/lane) expected on the road is $1875$ $938$ $2075$ $1038$

The free mean speed is $60 \mathrm{~km} / \mathrm{hr}$ on a given road. The average space headway at jam density on this road is $8 \mathrm{~m}$. For a linear speed-densi...

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