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Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II)


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65 Questions MCQ Test GATE Civil Engineering (CE) 2023 Mock Test Series | Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II)

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Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 1

Daytime temperature in Delhi can ______ 40°C

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 1

Daytime temperature in Delhi can reach 40°C

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 2

The growth rate of ABC Motors in 2017 was the same ________ XYZ Motors in 2016 .

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 2

The growth rate of ABC Motors in 2017 was the same as that of XYZ Motors in 2016.

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 3

Suresh wanted to lay a new carpet in his new mansion with an area of 70 × 55 sq. mts. However an area of 550 sq. mts had to be left out for flower pots. If the cost of carpet is Rs. 50 per sq. mts, how much money (in Rs.) will be spent by Suresh for the carpet now?

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 3

Area of mansion = 70 × 55 = 3850 m2 Area for flower pots = 550 m2
∴ Area left for carpet = 3850 – 550 = 3300m2
∴ Cost = 3300 × 50 = 165000

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 4

A retaining wall with measurements 30 m × 12 m × 6 m was constructed with bricks of dimensions 8 cm × 6 cm×6cm. If 60% of the wall consists of bricks used for the construction is ___________ lakhs.

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 4

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 5

Hima Das was _______ only Indian athlete to win _____________ gold for India.

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 5

Hima Das was the only Indian athlete to win a gold for India.

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 6

Population of state X increased by x% and the population of state Y increased by y% from 2001 to 2011. Assume that x is greater than y. Let P be the ratio of the population of state X to state Y in a given year. The percentage increase in P from 2001 to 2011 is_____________

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 6

Let population of X is ‘A’ in 2001 and
Population of Y is ‘B’ in 2001
∴ Population of A in 2011 
& Population of B in 2011 
Given, A/B = P

% increase in P

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 7

The Newspaper report that over 500 hectares of tribal land spread across 28 tribal settlements in Mohinitampuram forest division have already been “alienated’. A top forest official said, “First the tribals are duped out of their land holdings. Second, the families thus rendered landless are often forced to encroach further into the forests”.
On the basis of the information available in the paragraph, _______ is/are responsible for duping the tribals.

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 7

“it cannot be inferred who”
From given information, nobody can be held responsible.

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 8

An oil tank can be filled by pipe X in 5 hours and pipe Y in 4 hours, each pump working on its own. When the oil tank is full and the drainage hole is open, the oil is drained in 20 hours. 
If initially the tank was empty and someone started the two pumps together but left the drainage hole open, how many hours will it tak for the tank to be filled? (Assume that the rate of drainage is independent of the head)

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 8

Pipe X will fill how much in one hour = 1/5 tank
Pipe Y will fill how much in one hour = 1/4 tank
Drainage will drain out how much water in 1 hour = 1/20 tank
∴ Total tank filled in one hour

2/5 tank gets filled in = 1 hour
∴ Full (i) tank gets filled in  
= 5/2 = 2.5 hr

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 9

Mohan, the manager, wants his four workers to work in pairs. No paper should work for more than 5 hours. Ram and Johan have worked together for 5 hours. Krishna and Amir have worked as a team for 2 hours. Krishan does not want to work with Ram whom should mohan allot to work with Johan, if we wants all the workers to continue working? 

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 9

Conditions given:
(i) Ram & John have worked for 5 hours.
(ii) Krishna doesn’t want to work with Ram.
(iii) No pair should work beyond 5 hours.
Hence, Krishna should work with John to satisfy the above conditions.

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 10

“Popular Hindi fiction, despite – or perhaps because of – its wide reach, often does not appear in our cinema. As ideals that viewers are meant to look up to rather than identify with, Hindi film protagonisits usually read books of apsirational value: textbooks, English books, or high value literature”.

Q. Which one of the following CANNOT be inferred from the paragraph above?

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 10

People do not look up to writers of textbooks, English book or high value literature.

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 11

What is curl of the vector field 2x2yi + 5z2j - 4yzk?

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 11

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 12

Analysis of a water sample revealed that the sample contains the following species.

Q. Concentrations of which of the species will be required to compute alkalinity?

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 12

H2CO3 and HCO3- never come together

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 13

The value of the function f(x) is given at n distinct values of x and its value is to be interpolated at the point x* using all the n points. The estimate is obtained first by the Lagrange polynomial, denoted by IL, and then by the Newton polynomial, denoted by IN.

Q. Which one of the following statements is correct?

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 13

Lagrange’s form is more efficient when you have to interpolate several data sets on the same data point.
Newton’s form is more efficient when you have to interpolate data incrementally. So no relationship between both.

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 14

If the fineness modulus of a sample of the fine aggregates is 4.3, the mean size of the particles in the sample is between

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 14

150 μm, 300 μm, 600 μm, 1.18 mm, 2.36 mm, 4.75 mm, 10 mm, 20 mm, 40 mm, 80 mm
150 – 1
300 – 2
600 – 3

4.75 - 6

*Answer can only contain numeric values
Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 15

The command area of a canal grows only one crop, i.e., wheat. The base period of wheat is 120 days and its total water requirement, Δ, is 40 cm. If the canal discharge is 2 m3/s, the area, in hectares, rounded off to the nearest integer, which could be irrigated (neglecting all losses) is ______________


Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 15

B = 120 days
Δ = 0.4 m and
Δ = 8.64B/D
⇒ D = 2592 ha per (m3/s)
∴ For 2m3/sec water, area will be 5184 ha

*Answer can only contain numeric values
Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 16

The characteristic compressive strength of concrete required in a project is 25 MPa and standard deviation in the observed compressive strength expected at site is 4 MPa. The average compressive strength of cubes tested at different water-cement (w/c) ratios using the same material as is used for the project is given in the table.

The water-cement ratio (in percent, round off to the lower integer) to be used in the mix is________


Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 16

fck = 25 ; σ = 4 MPa
fm = fck + 1.65σ = 31.6 MPa
Using interpolation

= 46.7 (Rounded off to the lowest integer).

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 17

A solid sphere of radius, r, and made of material with density ρs, is moving through the atmosphere (constant pressure, p) with a velocity, ν. The net force ONLY due to atmospheric pressure (Fp) acting on the sphere at any time, t, is

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 17

Force = area × P


Net force will be zero as pressure acts from all sides.

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 18

An earthen dam of height H is made of cohesive soil whose cohesion and unit weight are c and γ, respectively. If the factor of safety against cohesion is Fc, the Taylor’s stability

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 18

Taylor’s stability number, 

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 19

A closed thin walled tube has thickness, t, mean enclosed area within the boundary of the centrline of tube’s thickness, Am, and shear stress τ. Torsional moment of resistance, T of the section would be

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 19

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 20

For a channel section subjected to a downward vertical shear force at its centroid, which one of the following represents the correct distribution of shear stress in flange and web?

*Answer can only contain numeric values
Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 21

The degree of static indeterminancy of the plane frame is shown in the figure is ________


Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 21


Ds = 3C – R'
C = 6
Ds = (3 × 6 – 2) – 1 (due to hinge)
= 15

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 22

Structural failures considered in the mechanistic method of bituminous pavement design are

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 22

As per IRC66:2012

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 23

Which one of the options contains ONLY primary air pollutants?

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 23

Ozone and PAN are secondary air pollutants.

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 24

The following inequality is true for all x close to 0.

What is the value of 

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 24


It is 0/0 form
L’s hospital rule (differentiate)

Putting 0 everywhere ⇒ still 0/0 form.
Differentiating numerator and denominator again,

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 25

The velocity field in a flow system is given by v = 2i + (x + y)j + (xyz)k. The acceleration of the fluid at (1, 1, 2) is

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 25





= 2 + (x + y) + (xyz)(0) + 0


= 2(yz) + (x + y)(xz) + (xyz)(xy) + 0
az = 2(1 × 2) + (1 + 1)(1 × 2) + (1 × 1 × 2) (1×1)
= 10k
Therefore, 

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 26

A steel column is restrained against both translation and rotation at one end and is restrained only against rotation but free to translate at the other end. Theoretical and design (IS: 800 – 2007) values, respectively, of effective length factor of the column are

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 26

As per IS:800-2007

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 27

Euclindean norm (length) of the vector [4 –2 – 6]T is

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 27

The Euclidean norm assigns to each vector the length of its arrow. Because of this, the Euclidean norm is often known as the magnitude. So,
Length 

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 28

An inflow hydrograph is routed through a reservoir to produce an outflow hydrograph. The peak flow of the inflow hydrograph is PI and the time of occurrence of the peak is tI. The peak flow of the outflow hydrograph is P0 and the time of occurance of the peak is t0. Which one of the following statements is correct?

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 28


Pl > Po ; tl < to

*Answer can only contain numeric values
Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 29

Construction of a new building founded on a clayey soil was completed in January 2010. In January 2014, the average consolidation settlement of the foundation in clay was recorded as 10 mm. The ultimate consolidation settlement was estimated in design as 40 mm. Considering double drainage to occur at the clayey soil site, the expected consolidation settlement in January 2019 (in mm, round off to the nearest integer) will be _____________


Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 29

Ultimate consolidation = 40 mm Recorded consolidation = 10 mm





∴ Total recorded consolidation
⇒ 40 × 0.375

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 30

The notation “SC” as per Indian standard Soil Classification System refers to

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 30

SC : clayey sand

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 31

The speed-density relationship in a mid-block section of a highway follows the Greenshield’s model. If the free flow speed is vf and the jam density is kj, the maximum flow observed on this ection is

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 31



⇒ 
∴ 

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 32

An anisotropic soil deposit has coefficient of permeability in vertical and horizontal directions as kz and kx, respectively. For constructing a flow net, the horizontal dimension of the problem’s geometry is transformed by a multiplying factor of

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 32

Flow net for anisotropic soil.


If we transformed geometry in x direction let x cordinate be transformed to the new coordinate xt by the transformation.


⇒ 
From eq. (i) & (ii),

 Hence prove
So, multiplied factor 

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 33

The Laplace transform of sinh (at) is

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 33

Laplace transform of sinh (at) = 

*Answer can only contain numeric values
Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 34

The data from a closed traverse survey PQRS (run in the clockwise direction) are given in the table

The closing error for the traverse PQRS (in degrees) is________


Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 34

n = 4 (number of sides of closed traverse)
(2n – 4) × 90° = 360°
so, error in included angle
= (88 + 92 + 94 + 89) – 360 = +3°

*Answer can only contain numeric values
Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 35

A vehicle is moving on a road of grade +4% at a speed of 20 m/s. Consider the coefficient of rolling friction as 0.46 and acceleration due to gravity as 10 m/s2. On applying brakes to reach a speed of 10 m/s, the required braking distance (in m, round off to nearest integer) along the horizontal, is ______.


Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 35

Given: grade = +4%
V1 = 20 m/sec.
f = 0.46
g = 10 m/sec.
V1 = 10 m/sec.
We know,

⇒ 

*Answer can only contain numeric values
Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 36

A broad gauge railway line passes through a horizontal curved section (radius = 875 m) of length 200 m. The allowable speed on this portion is 100 km/h. For calculating the cant, consider the gauge as centre-to-centre distance between the rail heads, equal to 1750mm, The maximum permissible cant (in mm, round off to 1 decimal place) with respect to the centretocentre distance between the rail heads is ______.


Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 36

Given data:
R = 875 mm
Allowable speed = 100 kmph
Gauge length G = 1750 mm
Allowable cant 

*Answer can only contain numeric values
Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 37

When a specimen of M25 concrete is loaded to a stress level of 12.5 MPa, a strain of 500 × 10–6 is recorded. If this load is allowed to stand for a long time, the strain increases to 1000 × 10–6. In accordance with provisions of IS: 456-2000, considering the long-term effects, the effective modulus of elasticity of the concrete (in MPa) is ________


Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 37

Short term strain = 500 × 10–6 Long term strain = 1000 × 10–6
So, creep coefficient,

θ = 1
Long-term effective modulus


= 12500 N/mm2 = 12500 MPa
or

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 38

The probability density function of a continuous random variable distributed uniformly between x and y (for y > x) is

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 38

Probability density function of a uniformly distributed random variable.

*Answer can only contain numeric values
Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 39

The uniform arrival and uniform service rates observed on an approach road to a signalized intersection are 20 and 50 vehicles/minutes, respectively. For this signal, the red time is 30 s, the effective green time is 30 s, and the cycle length is 60s. Assuming that initially there are no vehicles in the queue, the average delay per vehicle using the approach road during a cycle length (in s, round off to 2 decimal places) is _______


Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 39


Average delay per vehicle


= 12.5 sec

*Answer can only contain numeric values
Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 40

A rolled I-section beam is supported on a 75 mm wide bearing plate as shown in the figure. Thickness of flange and web of the I-section are 20 mm and 8mm, respectively. Root radius of the I-section is 10mm. Assuming: material yield stress, fy = 250 MPa and partial safety factor for material, γmo = 1.10

As per IS: 800-2007, the web bearing strength (in kN, round off to 2 decimal places) of the beam is _______


Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 40


Effective area in bearing = [75 + 2.5 (flange thickness + root radius)] × 8
= [75 + 2.5 (20 + 10)] × 8
= 1200 mm2
so, web bearing strength 

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 41

The critical bending compressive stress in the extreme fibre of a structural steel section is 1000 MPa. It is given that the yield strength of the steel is 250 MPa, width of flange is 250 mm and thickness of flange is 15 mm. As per the provisions of IS: 800-2007, the nondimensional slendeness ratio of the steel crosssection is

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 41

Non-dimensional slenderness ratio

*Answer can only contain numeric values
Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 42

At the foot of a spillyway, water flows at a depth of 23 cm with a velocity of 8.1 m/s, as shown in the figure.

The flow enters as an M-3 profile in the long wide rectangular channel with bed slope = 1/1800 and Manning’s n = 0.A hydraulic jump is formed at a certain distance from the foot of the spillway. Assume the acceleration due to gravity, g = 9.81 m/s2. Just before the hydraulic jump, the depth of flow y1 (in m, round off to 2 decimal places) is _________


Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 42

Given data:
y = 0.23 m
V = 8.1 m/sec.
Slope, s = 1/1800
h = 0.015
g = 9.81 m/sec2
q = yV = 8.1 × 0.23
= 1.863 m3/sec/m
It is given that flow enters as an M-3 profile in the long wide rectangular channel with bed slope = 1/1800
From manning equation at M3 profile section.

[for wide channel R = y]

The flow profile will follow normal depth (yn) after jump.
For wide rectangular channel,


Here, yn = y2 = 1.11 m


⇒ y1 = 0.417 m < yc [supercritical]

*Answer can only contain numeric values
Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 43

Consider the reactor shown in the figure. The concentration (in mg/l) of a compound in the influent and effluent are C0 and C, flow rate through the reactor is Q m3/h respectively. The compound is degraded in the reactor following the first order reactions. The mixing condition of the reactor Complete Mix Flow Reactor (CMFR) or a plug-flow reactor (PFR). The length of the reactor can be adjusted in these two mixing conditions to LCMFR and LPER while keeping the cross-section of the reactor constant. Assuming steady state and for C/C0 = 0.8, the value of LCMFR/LPER (round off to 2 decimal places) is _______


Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 43


A = constant
Q = AL
For plug flow 
 detention time for plug flow reaction]
For completely mix = 
 detention time for completely mix reaction]


*Answer can only contain numeric values
Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 44

A series of perpendicular offsets taken from a curved boundary wall to a straight survey line at an interval of 6 m are 1.22, 1.67, 2.04, 2.34, 2.14, 1.87, and 1.15 m. The area (in m2, round off to 2 decimal places) boundary by the survey line, curved boundary wall, the first and the last offsets, determined using Simpson’s rule, is _______.


Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 44

Area by simpson’s rule 

*Answer can only contain numeric values
Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 45

A water treatment plant treats 6000 m3 of water per day. As a part of the treatment process, discrete particles are required to be settled in a clarifier. A column test indicates that an overflow rate of 1.5 m per hour would produce the desired removal of particles through settling in the clarifier having a depth of 3.0 m. The volume of the required clarifier, (in m3, round off to 1 decimal place) would be


Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 45

Given data:
Flow rate = 6000 m3/day
Over flow rate = 1.5 m/hour
= 1.5 × 24 m/day = 36 m/day

Volume required for clarifier = Flow area × depth = 166.67 × 3 = 500 m3

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 46

A flexible pavement has the following class of loads during a particular hour of the day.
i. 80 buses with 2-axles (each axle load of 40 kN);
ii. 160 trucks with 2-axles (front and rear axle loads of 40 kN and 80 kN, respectively)

The equivalent standard axle load repetitions for this vehicle combination as per IRC:37-2012 would be

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 46


= 5 + 5 + 10 + 160
= 180

*Answer can only contain numeric values
Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 47

Constant head permeability tests were performed on two soil specimens, S1 and S2. The ratio of height of the two specimens (LS1: LS2) is 1.5, the ratio of the diameter of specimens (DS1:DS2) is 0.5, and the ratio of the constant head (hs1:hs2) applied on the specimens is 2.0. If the discharge from both the specimens is equal, the ratio of the permeability of the soil specimens (ks1:ks2) is ________


Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 47

For constant head permeability test,

k = QL/ah
Q → discharge
L → length of specimen
a → area of cross-section of specimen
h → constant head
Given,




*Answer can only contain numeric values
Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 48

A long uniformly distributed load of 10 kN/m and a concentrated load of 60 kN are moving together on the beam ABCD shown in the figure (not drawn to scale). The relative positions of the two loads are not fixed. The maximum shear force (in kN, round off to the nearest integer) caused at the internal hinge B due to the two loads is __________


Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 48



Maximum

*Answer can only contain numeric values
Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 49

A square footing of 2m sides rests on the surface of a homogeneous soil bed having the properties: cohesion c = 24 kPa, angle of internal friction ϕ = 25°, and unit weight γ = 18 kN/m3. Terzaghi’s bearing capacity factor ϕ = 25° are Nc = 25.1, Nq = 12.7, Nγ = 9.7, N’c = 14.8, N’q = 5.6, and N’γ = 3. The ultimate bearing capacity of the foundation (in kPa, round off to 2 decimal places) is ______.


Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 49


Here, ϕ < 29o
Footing rests on the ground
Hence, q = 0

*Answer can only contain numeric values
Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 50

The dimensions of a soil sampler are given in the table.

For this sampler, the outside clearance ratio (in percent, round off to 2 decimal places) is _________.


Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 50

Given:
D4 = 90 mm
D2 = 100 mm

*Answer can only contain numeric values
Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 51

A plane frame shown in the figure (not to scale) has linear elastic springs at node H. The spring constants are kx = ky = 5 × 105 kN/m3 and kθ = 3 × 105 kNm/rad.

For the externally applied moment of 30 kNm at node F, the rotation (in degrees, round off to 3 decimals) observed in the rotational spring at node H is ________


Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 51



Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 52

Chlorine is used as the disinfectant in a municipal water treatment plant. It achieves 50 percent of disinfection efficiency measured in terms of killing the indicator microorganisms (E-Coli) in 3 minutes. The minimum time required to achieve 99 percent disinfection efficiency would be

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 52

Disinfection eff.


⇒ t = 19.93 min.

*Answer can only contain numeric values
Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 53

A confined aquifer of 15 m constant thickness is sandwiched between two aquicludes as shown in the figure (not drawn to scale)

The heads indicated by two piezometers P and Q are 55.2 m and 34.1 m, respectively. The aquifer has a hydraulic conductivity of 80 m/ day and its effective porosity is 0.If the distance between the piezometers is 2500 m, the time taken by the water to travel through the aquifer from piezometer location P to Q (in days, round off to 1 decimal place) is ______.


Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 53

Given,

= 9.259 × 10–4 m/s
h = 55.2 – 34.1 = 21.1 m
L = 2500 m
n = 0.25
B = 15 m
As per Darcy’s law,
V = ki

Seepage velocity 

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 54

For a plane stress problem, the state of stress at a point P is represented by the stress element as shown in the figure.

By how much angle (θ) in degrees the stress element should be rotated in order to get the planes of maximum shear stress?

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 54




= (30, 0)
In ΔABC,
BC = 80 – 30 = 50 MPa
AB = 25 MPa


Angle to be rotated 

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 55

The inverse of the matix 

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 55


Det. of matrix, |A| = 2 (12 – 2) – 3(16 – 1) + 4(8 – 3)
= 20 – 45 + 20
= –5

(adj A) = (cof A)'
cof of A11 = 12 – 2 = 10
cof of A12 = –(16 – 1) = –15
cof of A13 = 8 – 3 = 5
cof of A21 = –(12 – 8) = –4
cof of A22 = (8 – 4) = 4
cof of A23 = –(4 – 3) = –1
cof of A31 = (3 – 12) = –9
cof of A32 = –(2 – 16) = 14
cof of A33 = (6 – 12) = –6

adj A = (cof A)'

*Answer can only contain numeric values
Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 56

Two identical pipes (i.e. having the same length, same diameter, and same roughness) are used to withdraw water from a reservoir. In the first case, they are attached in series and also discharge freely into the atmosphere. In the second case, they are attached in parallel and friction factor is same in both the cases, the ratio of the discharge in the parallel arrangement to that in the series arrangement (round off to 2 decimal places) is _____


Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 56

Case (1): Series connection,




then from equation (i) and (ii)

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 57

A camera with a focal length of 20 cm fitted in an aircraft is used for taking vertical aerial photographs of a terrain. The average elevation of the terrain is 1200 m above mean sea level (MSL). What is the height above MSL at which an aircraft must fly in order to get the aerial photographs at a scale of 1:8000?

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 57

Given that
f = 0.2 m
h = 1200 m
s = 1/8000

*Answer can only contain numeric values
Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 58

Raw municipal solid waste (MSW) collected from a city contains 70% decomposable material that can be converted to methane. The water content of the decomposable material is 35%. An elemental anlysis of the decomposable material yields the following mass percent.

C : H : O: N : other = 44 : 6 : 43 : 0.8 : 6.2

The methane production of the decomposable material is governed by the following stoichiometric relation

CaHbOcNd + nH2O → mCH4 + sCO2 + dNH3

Given atomic weights: C = 12, H = 1, O = 16, N = The mass of methane produced (in grams, round off to 1 decimal place) per kg of raw MSW will be _______


Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 58

For the MSW, the phase diagram is as follows


From the mass percent given,
12a = 44x
b = 6x 16c = 43x
14d = 0.8x
∑ = 100x
100x = wt of decomposable waste
= 0.455 kg

⇒ a = 16.683, b = 27.3,
c = 12.228, d = 0.26
From the balance of reaction we have
a = m + s …(A)
b + 2n = 4m + 3d …(B)
c + n = 2s …(C)
⇒ 2c + 2n = 4s …(D)
⇒ b – 2c = 4m – 4s + 3d

⇒ m - s = 0.516
⇒ m + s = 16.683
⇒ m = 8.6
⇒ Methane produced = 8.6 × 16 g = 137.6 g

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 59

In the context of provisions relating to durability of concrete, consider the following assertion:
Assertion (1): As per IS 456-2000, air entrainment to the extent of 3% to 6% is required for concrete exposed to marine environment.
Assertion (2): The equivalent alkali content (in terms of Na2O equivalent) for a cement containing 1% and 0.6% of Na2O and K2O, respectively, is approximately 1.4% (rounded to 1 decimal place).

Q. Which one of the following statements is correct?

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 59

As per IS-456, where freezing and thawing actions under wet conditions exit, inhance durability can be obtained by the use of suitable air entraining admixture.
The entrained air percentage can vary from 4 ± 1 to 5 ± 1 (i.e. 3 to 6%) depending on size of aggregate. Hence, Assertion (1) is correct.
Equivalent alkali content (in terms of Na2O equivalent)
= Na2O + 0.658 × K2O
Molecular ratio of Na2O to K2O = 0.658 = 1% + 0.658 × 0.6% = 1.39
≃ 1.4 (rounded to 1 decimal place).

*Answer can only contain numeric values
Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 60

The ordinates, u of a 2-hour unit hydrograph (i.e. for 1 cm of effective rain), for a catchment are shown in the table.

A 6-hour storm occurs over the catchment such that the effective rainfall intensity is 1 cm/hour for the first two hours, zero for the next two hours, and 0.5 cm/hour for the last two hours. If the base flow is constant at 5 m3/s, the peak flow due to this storm (in m3/s, round off to 1 decimal place) will be ________


Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 60

0–2 hr — total rainfall = 1 × 2 = 2 cm
2–4 hr — total rainfall = 0 cm
4–6 hr — total rainfall = 2 × 0.5 = 1 cm

Maximum ordinate is 92 m3/sec.
Maximum flood discharge = 92 + 5
= 97 m3/sec

*Answer can only contain numeric values
Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 61

The speed-density relationship of a highway is given as
u = 100 – 0.5 k
where, u = speed in km per hour, k = density in vehicles per km. The maximum flow (in vehicles per hour, round off to the nearest integer) is ______


Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 61

Given that,
u = 100 – 0.5 k

u = uf (1- k / kj)
u = 100(1- (0.5k/100))
= 100(1- k/200) therefore, uf = 100 and kj = 200

= 5000 vehicles/hr

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 62

Consider the hemi-spherical tank of radius 13 m as shown in the figure (not drawn to scale). What is the volume of water (in m3) when the depth of water at the centre of the tank is 6 m?

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 62

Volume generated by the Y axis revolution equation of circle


⇒ (x + 0)2 + (y - 13)2 = 132

*Answer can only contain numeric values
Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 63

A timber pile of length 8m and diameter of 0.2m is driven with a 20 kN drop hammer, falling freely from a height of 1.5m. The total penetration of the pile in the last 5 blows is 40 mm. Use the engineering news record expression. Assume a factor of safety of 6 and empirical factor (allowing reducing in the theoretical set, due to energy losses) of 2.5 cm. The safe load carrying capacity of the pile (in kN, round off to 2 decimal places) is ______


Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 63

Engineering news record expression

s = Penetration of pile per hammer blow.

C = 2.5 cm = 0.025 m

then safe load carrying capacity

*Answer can only contain numeric values
Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 64

A 2 m × 4 m rectangular footing has to carry a uniformly distributed load of 120 kPa. As per the 2:1 dispersion method of stress distribution, the increment in vertical stress (in kPa) at a depth of 2 m below the footing is __________.


Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 64

Increment in the vertical stress

Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 65

An ordinary differential equation is given below:


The solution for the above equation is
(Note: K denotes a constant in the options)

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2019 Paper: (Session II) - Question 65



taking ℓnx = t

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