Civil Engineering Gate Yearwise 

Civil Engineering GATE 2023 Set-2 Questions with Answer

Ques 1 Engineering Mathematics

If x satisfies the equation 4^(8^x) = 256, then x is equal to

A

1/2

B

log_(16) 8

C

2/3

D

log_(4) 8



Ques 2 Engineering Mathematics

Let φ be a scalar field, and u be a vector field. Which of the following identities is true for div(φu)?

A

div(φu) = φdiv(u) + u ⋅ grad(φ)

B

div(φu) = φdiv(u) + u × grad(φ)

C

div(φu) = φgrad(u) + u ⋅ grad(φ)

D

div(φu) = φgrad(u) + u × grad(φ)



Ques 3 Engineering Mathematics

Which of the following probability distribution functions (PDFs) has the mean greater than the median?

A

Function 1

B

Function 2

C

Function 3

D

Function 4



Ques 4 Engineering Mathematics

A remote village has exactly 1000 vehicles with sequential registration numbers starting from 1000. Out of the total vehicles, 30% are without pollution clearance certificate. Further, even- and odd-numbered vehicles are operated on even- and odd-numbered dates, respectively. If 100 vehicles are chosen at random on an even-numbered date, the number of vehicles expected without pollution clearance certificate is

A

15

B

30

C

50

D

70



Ques 5 Engineering Mathematics

For the matrix

which of the following statements is/are TRUE?

A

[A]{x} = {b} has a unique solution

B

[A]{x} = {b} does not have a unique solution

C

[A] has three linearly independent eigenvectors

D

[A] is a positive definite matrix



Ques 6 Engineering Mathematics

The steady-state temperature distribution in a square plate ABCD is governed by the 2-dimensional Laplace equation. The side AB is kept at a temperature of 100 °C and the other three sides are kept at a temperature of 0 °C. Ignoring the effect of discontinuities in the boundary conditions at the corners, the steady-state temperature at the center of the plate is obtained as T_0 °C. Due to symmetry, the steady-state temperature at the center will be same (T_0 °C) when any one side of the square is kept at a temperature of 100 °C and the remaining three sides are kept at a temperature of 0 °C. Using the principle of superposition, the value of T_0 is (rounded off to two decimal places).


25.00 is the correct answer.


Ques 7 Environmental Engineering

In the context of Municipal Solid Waste Management, 'Haul' in 'Hauled Container System operated in conventional mode' includes the

A

time spent by the transport truck at the disposal site

B

time spent by the transport truck in traveling between a pickup point and the disposal site with a loaded container

C

time spent by the transport truck in picking up a loaded container at a pickup point

D

time spent by the transport truck in driving from the depot to the first pickup point



Ques 8 Environmental Engineering

Which of the following is/are NOT active disinfectant(s) in water treatment?

A

•OH (hydroxyl radical)

B

O_3 (ozone)

C

OCl^- (hypochlorite ion)

D

Cl^- (chloride ion)



Ques 9 Environmental Engineering

For the elevation and temperature data given in the table, the existing lapse rate in the environment is °C/100 m (round off to two decimal places).


-0.80 is the correct answer.


Ques 10 Fluid Mechanics

The pressure in a pipe at X is to be measured by an open manometer as shown in figure. Fluid A is oil with a specific gravity of 0.8 and Fluid B is mercury with a specific gravity of 13.6. The absolute pressure at X is kN/m^2 (round off to one decimal place).
[Assume density of water as 1000 kg/m^3 and acceleration due to gravity as 9.81 m/s^2 and atmospheric pressure as 101.3 kN/m^2.]


113.4 is the correct answer.


Ques 11 General Aptitude

The line ran _______ the page, right through the centre, and divided the page into two.

A

across

B

of

C

between

D

about



Ques 12 General Aptitude

Kind : ________ : : Often : Seldom
(By word meaning)

A

Cruel

B

Variety

C

Type

D

Kindred



Ques 13 General Aptitude

In how many ways can cells in a 3x3 grid be shaded, such that each row and each column have exactly one shaded cell? An example of one valid shading is shown.

A

2

B

9

C

3

D

6



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