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Gate Mock Test Civil Engineering (CE)- 8 - Civil Engineering (CE)


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65 Questions MCQ Test GATE Civil Engineering (CE) 2023 Mock Test Series - Gate Mock Test Civil Engineering (CE)- 8

Gate Mock Test Civil Engineering (CE)- 8 for Civil Engineering (CE) 2023 is part of GATE Civil Engineering (CE) 2023 Mock Test Series preparation. The Gate Mock Test Civil Engineering (CE)- 8 questions and answers have been prepared according to the Civil Engineering (CE) exam syllabus.The Gate Mock Test Civil Engineering (CE)- 8 MCQs are made for Civil Engineering (CE) 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Gate Mock Test Civil Engineering (CE)- 8 below.
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Gate Mock Test Civil Engineering (CE)- 8 - Question 1

Directions: Choose the word that is opposite in meaning to the given word.

INTREPID

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 1

'Intrepid' means 'fearless'. So, 'coward' is its antonym.

Gate Mock Test Civil Engineering (CE)- 8 - Question 2

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 2
As per the question, the changes in the figure take place by changing the elements inside the boxes in an order of 1, 4, 1, 4. As in first figure, only 1 element changes start from lower element; in second figure next 4 elements change and so on. So, the next change will be in only 1 element.
Gate Mock Test Civil Engineering (CE)- 8 - Question 3

X is a 25 digit number starting with the digit 2 followed by the digit 5. Then the number X5 will have minimum____

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 3
Minimum digits of x = 25x1023 = 25 digits

Minimum digits of x5 = (25x1023)5 = 122 digits

Gate Mock Test Civil Engineering (CE)- 8 - Question 4

Which one of the following is the synonym of the word DISPARAGE?

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 4
Disparage is to put down somebody or something. This is the same thing as belittling somebody or somebody's achievement.
Gate Mock Test Civil Engineering (CE)- 8 - Question 5

There are five friends Arya, Krunal, JD, Pratik and Ayush are standing in a row (not necessarily in that order). Arya is to the West of Krunal. Ayush is to the East of JD and the West of Arya. Krunal is to the West of Pratik. Who is standing in the middle?

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 5
from the information given above

JD-Ayush-Arya-Krunal-Pratik

Gate Mock Test Civil Engineering (CE)- 8 - Question 6

What is the probability of getting the same number on all three dices if they are rolled together?

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 6
Total possible cases = 63 = 216

Favourable cases = (1, 1, 1), (2, 2, 2), (3, 3, 3), (4, 4, 4), (5, 5, 5) and (6, 6, 6).

Probability = 6/216 = 1/36

Alternate Solution:

Out of 6 numbers (1, 2, 3, 4, 5, 6) we can select 1 in 6C1 ways. The same number will turn up in each die. The probability in each one is 1/6.

So required probability = 6C1 × 1/6 × 1/6 × 1/6 = 6/216 = 1/36

Gate Mock Test Civil Engineering (CE)- 8 - Question 7

If a six-digit number 3x8z9y is divisible by 7 and 11 then the average the value of x, y and z is

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 7
If a number is divisible by 11, sum of digits in odd places = sum of digits in even places

Also, average of digits in odd places = average of digits in even places

Then (x + y + z)/3 = (3 + 8 +9)/3 = 20/3

Gate Mock Test Civil Engineering (CE)- 8 - Question 8

In the given figure, if the centres of all the circles are joined by horizontal and vertical lines, then find the number of squares that can be formed.

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 8

Small squares = 6 (ABKD, BCEK, DKLF, KEGL, FLIH, LGJI)

Big squares = 2 (ACGF, DEJH)

Total squares = 8

Gate Mock Test Civil Engineering (CE)- 8 - Question 9

Consider a square sheet of side 4 unit. The sheet is first folded along the main diagonal. This is followed by a fold along its line of symmetry. The resulting folded shape is again folded two times ( one after another ) along its line of symmetry. The area of each face of the final folded shape, in square units, equal to _________

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 9
Operation 1

∆ABC, side AB = BC = 4 unit, Hypotenuse AC = 4√2

Operation 2:

∆ABC, side AB = BC = 2√2 unit, Hypotenuse AC = 4

Operation 3:

∆ABC, side AB = BC = 2 unit, Hypotenuse AC = 2√2

Operation 4:

∆ABC, side AB = BC = √2 unit, Hypotenuse AC = 2

A = ½xABxBC = ½x√2x√2 = 1 unit

Gate Mock Test Civil Engineering (CE)- 8 - Question 10

Directions: Part of the sentence is underlined. Select the option that best corrects the underline part.

I have a cross-training exercise program: I swim laps, play tennis, the weight machines, and bicycle riding.

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 10
The second clause of this sentence requires a parallel construction. Choice 2 is the only one in which all four elements use the same grammatical construction, a verb in the present tense followed by a noun.
*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 8 - Question 11

There is a compilation of past behavior in 15 bids of a typical contractor against you as a contractor. The mean and the standard deviation of the bid-to-total cost ratio (B/TC) is 1.07467 and 0.0630 respectively. Using normal distribution at what markup percentage there will be at least a 50% chance that you win the tender against the typical bidder? (round up to 2 decimal places)


Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 11

Gate Mock Test Civil Engineering (CE)- 8 - Question 12

The integral is equal to

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 12

*Multiple options can be correct
Gate Mock Test Civil Engineering (CE)- 8 - Question 13

The workability of concrete can be increased by

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 13
The workability of concrete cannot be increased by decreasing water quantity
*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 8 - Question 14

A shaft turning 150 rpm is subjected to a torque of 150 kg m. The horsepower transmitted by the shaft is ___π. (Answer up to the nearest integer)


Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 14
p = 2π x n x T/4500

T = 150 kgm

n = 150 r.p.m.

p = 10π

Gate Mock Test Civil Engineering (CE)- 8 - Question 15

The graph for viscosity(μ) of fluid versus temperature change(T). Which of the following options is correct

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 15

Based on the above equations, air will have an increasing curve and water will have a decreasing curve.

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 8 - Question 16

The value of around a rectangle with vertices at 2 ± i, - 2 ± i, is (Answer up to the nearest integer)


Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 16

Gate Mock Test Civil Engineering (CE)- 8 - Question 17

In the pycnometer method of determining water content, the following observations are taken.

Weight of pycnometer = 450g

Weight of pycnometer + wet soil = 950g

Weight of pycnometer + soil + water = 1950g

Weight of pycnometer + water = 1550g

Specific gravity of soil soilds = 2.67

What is the water content of the sample in %?

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 17

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 8 - Question 18

A circular duct carrying water gradually contracts from a diameter of 30 cm to 15 cm. The figure (not drawn to scale) shows the arrangement of differential manometer attached to the duct.

When the water flows, the differential manometer shows a deflection of 8 cm of mercury (Hg). The values of specific gravity of mercury and water are 13.6 and 1.0, respectively. Consider the acceleration due to gravity, g = 9.81 m/s2. Assuming frictionless flow, the flow rate (in m3/s) through the duct is (Answer up to three decimal places)


Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 18

Flow rate,

A1 = 4A2 and g = 9.81 m/sec2

A2 = π/4 x 0.152

= 0.01767 m2

= 0.081 m3/sec

Gate Mock Test Civil Engineering (CE)- 8 - Question 19

The critical slip circle for a slope is shown below along with the soil properties

The length of the arc of the slip circle is 12.6 m and the area of soil within the slip circle is 53 m2.The radius of the slip circles is 9.3 m. The factor of safety against the slip circle failure is nearly equal to

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 19

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 8 - Question 20

The VPI (vertical point of intersection) is 100 m away (when measured along the horizontal) from the VPC (vertical point of curvature). If the vertical curve is parabolic, then the length of the curve (in metres and measured along the horizontal) is (Answer up to the nearest integer)


Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 20
VPI is horizontal midway between VPC and VPT.

VPC = VPI - L/2

⇒ 0 = 100 - L/2

⇒ L = 200 m

*Multiple options can be correct
Gate Mock Test Civil Engineering (CE)- 8 - Question 21

Which of the following statements are assumptions of Coulumb's earth pressure theory?

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 21
All statements are true.
Gate Mock Test Civil Engineering (CE)- 8 - Question 22

In a check for development length (Ld), Ld shall not exceed M1/V + Lo where M1 is moment of resistance of the section after bar curtailment, V is maximum shear in the region of M1 and Lo at discontinuous end is

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 22
equal to 12 (is diameter of bars) or effective depth `d` whichever is greater
*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 8 - Question 23

A 2-h rainfall of 5 cm magnitude at a station has a return period of 10 years. The probability that a 2-h rainfall of magnitude 5 cm or more will occur in each of three successive years is____ ( rounded off to three decimal places)


Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 23
P = nCkPkQn–k

P = 3C3(1/10)3Q0

P = 0.001

Gate Mock Test Civil Engineering (CE)- 8 - Question 24

Match List I with List II and select the correct answer using the codes given below the lists:

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 24
Diverging to and merging from left does not cause much problems.

Merging conflict points are distributed in the departure quadrants of an intersection. The left‐turn, through, and right‐turn traffic movements from other entrance quadrants merge to a departure quadrant to form merging conflict points.

Crossing conflict is a major conflict and dangerous, rest are minor conflicts.

Weaving is a combination of merging and diverging, happens usually in rotary.

Gate Mock Test Civil Engineering (CE)- 8 - Question 25

The rank of the matrix

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 25

Rank(A) = 4

Gate Mock Test Civil Engineering (CE)- 8 - Question 26

Which one of the following statements defines `Anoxic denitrification`?

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 26
A biological nitrogen removal process in which nitrate nitrogen is converted by microorganisms to nitrogen gas in the absence of dissolved oxygen (DO) is known as anoxic denitrification.
Gate Mock Test Civil Engineering (CE)- 8 - Question 27

The degree of the given differential equation is :

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 27

Cubing both sides we get,

the fifth derivative term has an exponent of 1

Hence, degree of differential equation is 1

Gate Mock Test Civil Engineering (CE)- 8 - Question 28

Match List I with List II and select the correct answer using the codes given below the lists:

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 28
Friction piles that rely on skin friction for the capacity generally tend to have high settlement values. Skin friction in clay soils is due to adhesion between the pile material and clay.

Batter piles carry lateral loads primarily in axial compression and/or tension while vertical deep foundations carry lateral loads in shear and bending.

Tension piles, also known as uplift piles or anchor piles, are a type of pile foundation that is used to resist uplift forces that might otherwise cause it to be extracted from the ground.

Sand Compaction Pile method is one of the typical ground improvement methods to densify the ground by installing compacted sand piles into ground. This method has been often applied to mitigate the liquefaction.

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 8 - Question 29

The limiting principle tensile stress in prestressing uncracked concrete member of M25 grade is ____ Pa(round up to nearest integer value)


Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 29
0.24√25 = 0.24 x 5 = 1.2 MPa = 1200000 Pa
Gate Mock Test Civil Engineering (CE)- 8 - Question 30

If S is the potential infiltration, P is rainfall in cm in a drainage of certain group of soil and fair pasture cover, the direct run off in cm may be obtained by the equation:

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 30

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 8 - Question 31

A cantilever beam of span 6 m carries a uniformly distributed load of 15 kN/m. The c/s of the beam is square shaped having side 200 mm with one of its diagonal horizontal. The maximum shear stress anywhere on the beam is ___(in MPa, round up to 2 decimal places).


Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 31

Max Shear force would be at the fixed end

V = 15 x 6 = 90 kN

For square c/s with diagonal horizontal,

Gate Mock Test Civil Engineering (CE)- 8 - Question 32

1. According to Lacely`s regime condition the channel flows uniformly in limited, in coherent alluvium of the same character as that transoported

2. A channel is said to be in quasiregime when it is in regime conditions attained by some rivers during floods.

3. The Garret diagram given the design of canals by Kennedy`s theory.

Of the above statements:

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 32
Lacey's theory can be used to a reasonable extent. The situation in rivers is quite different in as much as there is a large variation in the discharge as well as the sediment load. It is only during the high floods that conditions approaching the regime may be attained partially and hence rivers can at best attain what is called quasi regime conditions only during floods.

Garret's diagram gives the graphical method of designing the channel dimensions based on Kennedy's Theory.

Gate Mock Test Civil Engineering (CE)- 8 - Question 33

The stiffness coefficient kij indicates

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 33

Stiffness coefficient, kij, is force required to produce a unit deformation and kij means force required in i for a unit deformation at j.

Gate Mock Test Civil Engineering (CE)- 8 - Question 34

A frictionless fluid of density r flows through a bent pipe as shown below. If A is the cross sectional area and V is the velocity of flow, the forces exerted on segment 1-2 of the pipe in the x and y directions respectively are:

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 34

Force = Change in momentum per second
However, in the present case, at section 1 and section 2, there's no change in direction of velocity, magnitude of velocity and area of cross-section between section 1 and section 2.
So, Fx = 0, Fy = 0

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 8 - Question 35

For a bituminous concrete road in a heavy rainfall area and a design speed of 50 km per hour. The minimum radius of the curve beyond which no super-elevation is needed will be _____ m(round up to 2 decimal places)


Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 35

For bituminous concrete road with heavy rainfall, camber provided according to IRC is 2.5%

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 8 - Question 36

 is equal to _________ (Answer up to the nearest integer)


Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 36

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 8 - Question 37

A baghouse filter has to treat 12 m3/s of waste gas continuously. The baghouse is to be divided into 5 sections of equal cloth area such that one section can be shut down for cleaning and/or repairing, while the other 4 sections continue to operate. An air-to-cloth ratio of 6.0 m3/min-m2 cloth will provide sufficient treatment to the gas. The individual bags are of 32 cm in diameter and 5 m in length. The total number of bags (in integer) required in the baghouse is


Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 37
Surface area of each filter bag = ? x 0.32 x 5 = 5.026m2

Surface area of filter required = (12 x 60)/6 = 120m2

Total working bags required = 120/5.026 = 24

Total bags required = 5/4 x 24 = 30

Gate Mock Test Civil Engineering (CE)- 8 - Question 38

Which of the following is a solution to the differential equation dx(t)/dt + 3x(t) = 0?

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 38
We have dx(t)/dt + 3x(t) = 0

Or (D + 3)x(t) = 0

Since m = -3, x(t) = Ce-3t

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 8 - Question 39

The BOD of the effluent entering in the oxidation pond is found to be 150 mg/L. 95 % of the effluent BOD is removed in the oxidation pond. Find the detention time in days(round up to 2 decimal places). Consider kd = 0.15/day (to the base 10)


Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 39

L = BOD of the effuent entering = 150 mg/L

y = BOD removed = 95% of 150 = 142.75 mg/L

Gate Mock Test Civil Engineering (CE)- 8 - Question 40

Displacement coordinates for a beam are shown in the given figure. The stiffness matrix is given by

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 40
Stiffness matrix can be obtained by making second co-ordinate, i.e. rotation in the direction of 2 as zero and considering unit rotation in the direction of co-ordinate 1.

Rotational stiffness of beam AB

And rotational stiffness of beam BC

=

Hence, required stiffness in the direction of 1 to produce unit rotation = 2El + El = 3El

Thus, K11 = 3El

As carry over factor is half,

Hence, moment generated at point C in the direction of co-ordinate 2 = 1/2 x EI

= 0.5 El

Similarly, make D1 = 0 and D2 = 1.0

∴ K12 = 0.5 El

Gate Mock Test Civil Engineering (CE)- 8 - Question 41

A town having a population of 80,000 inhabitants is supplied with water from a reservoir 2.5km away from the town and the loss of head due to friction in the pipeline is measured as 0.01km, (Take, f = 0.04). If each inhabitant consumes 220 liters/day of water and only half of the daily supply is pumped in 10 hours. Then, the size (diameter) of supply main pipe required is :

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 41
L = 2.5 km = 2500—----(Length of pipeline)

hf = 0.01 km = 10 m—------(Head loss)

f = 0.04—----------(friction factor)

Each habitant consumes 220 litres of water per day but only half of the daily supply is pumped

i. e.

Actual volume of water pumped = 220 lit x ½ = 110 litres of water = 0.110 m3

The rate of discharge is = 0.24 m3/sec

We know, Frictional head loss in supply main,

As, 54.4 cm diameter pipe is not a standard one, so adopting 55 cm diameter pipe for the supply main.

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 8 - Question 42

A cold rolled steel cup, with an inside radius of 30 mm and a thickness of 3 mm, is to be drawn from a blank of diameter 40 mm. The shear yield stress and the maximum allowable stress of the material can be taken as 210 N/mm2 and 600 N/mm2, respectively.

What will be the minimum possible radius (in mm) of the cup which can be drawn from the given blank without causing a fracture?

(Answer up to one decimal place)


Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 42

In case of σz = 600 N/mm2, from equation (2), we have

Using Equation (1) and taking Fh = 52,778 N, we get

Again, it is intersecting to note that rj - rp = 30.8 mm ≥ 4t, and this goes much beyond the limit set by the plastic buckling condition.

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 8 - Question 43

For the pipe bend shown, calculate the resultant force exerted(in kN,round up to 2 decimal places) by the flow of water having a discharge of 0.5m3/s from sections 1-1 to sections 2-2. The pressure at section 1-1 is 40kPa and section 2-2 lies 4m above section 1-1. Assume head loss is negligible.


Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 43
Let Fx and Fy be the forces exerted by water on the bend.

Using Bernoulli’s equation,

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 8 - Question 44

A beam of symmetrical I-section made of structural steel has an overall depth of 300 mm. The flange stresses developed at the top and bottom of the beam are 1200 kg/cm2 and 300 kg/cm2, respectively. The depth (in mm) of neutral axis from the top of the beam would be _____. (Answer up to the nearest integer)


Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 44

The variation of stresses in the bending is shown below

x/1200 = (300 - x)/300

⇒x = 1200 - 4x

⇒x = 1200/5

⇒x = 240 mm

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 8 - Question 45

A timber pile of length 8 m and diameter 0.2 m is driven with a 20 kN single action steam hammer, falling from a height of 1.5 m. The total penetration of the pile in the last 25 blows is 200 mm. Use Hiley's expression. Assume a factor of safety of 3 and an empirical factor (allowing reduction in the theoretical set, due to energy losses)of 0.25 cm. The safe load-carrying capacity of the pile (in kN, round off to 2 decimal places) is


Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 45

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 8 - Question 46

The integral   where D denotes the disc: x2 + y2 < 4, evaluates to ______________.  (Answer up to the nearest integer)


Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 46

Method -I:-

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 8 - Question 47

5 rain gauges are used for the measurement of rainfall over a hilly region. The rainfall observed at various locations in the region is 89mm,54mm,45mm,41mm, and 55mm. Calculate the optimum number of gauges required for rainfall measurement. Assume allowable error as 10%.


Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 47

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 8 - Question 48

A rectangular R.C. beam of concrete grade M15 is 200 mm wide and 350 mm deep effectively. It is provided with 4 numbers of 12 mm diameter HYSD steel rods as tension reinforcement. The compressive force (in kN) produced in the block is _____. (Answer up to two decimal places)


Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 48

Xu,max = 0.48

d = 0.48 x 350 = 168 mm

C = 0.36 fck b xu

= 0.36 x 15 x 200 x 168

= 181.44 kN

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 8 - Question 49

Consider the initial value problem given below. the value of y at x=ln2 (rounded off to one decimal place) is____

dy/dx = 2x − y, y(0)=1


Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 49
dy/dx + y = 2x

P = 1 Q = 2x

Gate Mock Test Civil Engineering (CE)- 8 - Question 50

Directions: The question given below contains two statements, Statement (I) and Statement (II). Mark the correct choice according to the following instructions.

Statement (I): Constituents of chlorinated copperas along with lime are effective coagulants and their combination is quite effective.

Statement (II): Ferric sulphate is effective in pH range of 4 to 7 and above 9, whereas ferric chloride is quite effective in the pH range of 3.5 to 6.5 and above 8.5, so the combination is very effective coagulant for treating low pH water.

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 50
Since the constituents of chlorinated copperas along with lime have a wide range of pH for effective treatment, hence their combination is effective.
*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 8 - Question 51

Calculate :

 using simpson's 3/8 rule with step soze as 0.2

Give only the absolute value of above answer(round up to 3 decimal places)


Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 51

a = 0, b = 1, h = 0.2

y = 4x - 8x2

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 8 - Question 52

A plain sedimentation tank with length 20 m, width 10 m and depth 3 m is used in a water treatment plant to treat 4 million litres of water per day (4 MLD). The average temperature of water is 20°C. The dynamic viscosity of water is 1.002 × 10-3 N-s/m2 at 20°C. Density of water is 998.2 kg/m3. Average specific gravity of particles is 2.65.

The minimum diameter of the particle which can be removed with 100% efficiency in the above sedimentation tank is A × 10-3 mm. Find A.

(Answer up to the nearest integer)


Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 52

Sedimentation velocity vs∝ H (depth of the tank)

and discharge or flow velocity v at v∝ L

v/vs = L/H

Vs = v.H/L [∵ v = Q/BH]

= Q/BH x H/L = Q/BL = Surface overflow rate

Efficiency will be 100% if surface overflow rate is equal to settling velocity of the particle.

Particle settling velocity of diameter D is given by (Stoke's law)

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 8 - Question 53

At the beginning of its service life, the strain in a column made of M40 concrete, is 300 × 10−6 . The strain in the column 2 years after its cast is now 500 × 10−6. What is the effective modulus of elasticity (in N/mm2, round off to 2 decimal places) as per IS 456, considering long-term effects?


Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 53

(Do not round off here, as GATE says to round off the final answer only)

As per IS 456, Effective modulus of concrete is given by,

Gate Mock Test Civil Engineering (CE)- 8 - Question 54

A two-dimensional stress system has like stresses σx = 100 N/mm2 and σy = 200 N/mm2 in two mutually perpendicular directions. The x, y coordinates of the centre of the Mohr's circle are

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 54
Here, σx = 100 N/mm2

σy = 200 N/mm2

Gate Mock Test Civil Engineering (CE)- 8 - Question 55

Calculate the magnitude of the moment at C in kNm.

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 55
Stiffness ⇒ kBA = 4EI/4 = El, kBC = El

Distribution factors = DFBC = 0.5, DFBA = 0.5

Fixed end moments ⇒MFAB = -(20 x 4)/8 = - 10kNm, MFBA = (20 x 4)/8 = 10 kNm

Release fixed moments at end B as it is hinged

Releasing moment of (-5 kNm) at B for member CB,

MCB = - 5 + 0.5 x (-5) = - 7.5kNm

Gate Mock Test Civil Engineering (CE)- 8 - Question 56

Match List I (Test) with List II (Property) and select the correct answer:

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 56
Penetration Test can be conducted to determine

1. Relative Density of sands

2. Ultimate bearing capacity on the basis of shear criteria

3. Allowable bearing pressure on the basis of settlement criteria

Hydrometer Test can be used to determine:

Distribution of grain size

Proctor Test can be used to determine:

The compaction of the soil

Vane Test can be used to determine:

In-situ shear strength of clay.

Gate Mock Test Civil Engineering (CE)- 8 - Question 57

Calculate the ratio of the equivalent moment to equivalent torque that is obtained when a cantilever beam is subjected to a bending moment of 8kNm and twisting moment of 12kNm. The diameter of the cross-section of the beam is 35mm.

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 57

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 8 - Question 58

In the Godavari basin, consider a storm occurrence.

Duration = 6 hours

Effective rainfall = 15 cm

Peak flow = 930 m3/s

Consider another storm of the same duration with effective rainfall = 7.5 cm.

Find out the corresponding peak flow (in m3/s). (Answer up to the nearest integer)


Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 58
Area is same

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 8 - Question 59

Find the plastic moment(in kNm, round up to 2 decimal places) for the given frame under applied factored loads. (Consider only combined mechanism)


Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 59

Here, 6α = 9θ, α = 1.5θ

By virtual work principle, 20 x 6θ + 80 x 3θ = 2Mpθ + Mp(θ + α)

120θ + 240θ = 2Mpθ + 1.5Mpθ + Mpθ

360θ = 4.5Mpθ , Mp = 3600/4.5 = 80 kNm

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 8 - Question 60

A thin flat plate 0.5 m × 0.7 m in size settles in a large tank of water with a terminal velocity of 0.12 m/s. The coefficient of drag CD = for a laminar boundary layer and CD = for a turbulent boundary layer, where RL is the Plate Reynolds Number. Assume μ = 10-3 N-s/m2 and ρ = 1000 kg/m3. The submerged weight (in N) of the plate is _____. (Answer up to three decimal places)


Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 60
Submerged weight of the plate = Drag force on the plate

Laminar boundary layer will grow throughout the length.

= 4.58 × 10-3 × 0.5 × 0.7 × 1000 × (0.12)2

= 0.023 N

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 8 - Question 61

The reduced level of a warehouse’s ground floor is 105.00m and the staff reading on the ground floor is 1.85m. The staff reading when the staff is held with its zero end touching against the underside of the steel girder is 3.12m. The height of the girder (in m, round off up to 2 decimal places) above the base of the ground floor is _____.


Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 61
Here, the staff reading is taken by helding the staff upside down,

i. e. Inverted staff is used.

We know, R. L of ground floor = 105.00 m and

Staff reading on floor = 1.85 m

Inverted staff reading = 3.12 m

∴The height of the girder above the base of ground floor = 1.85 + 3.12 = 4.97 m

OR, This standard method can also be used;

Here,

Height of Instrument (H. I) = (RL of floor) + (Staff reading)

= 105.00 + 1.85

= 106.85 m

The R. L of the underside of the girder = (Height of Instrument) + (Inverted staff reading)

= 106.85 + 3.12

= 109.97 m

Hence, the height of the girder above the Ground floor level,

= (R. L of the underside of girder) - (R. L of the floor)

= 109.97 - 105.00

= 4.97 m

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 8 - Question 62

A 10 cm long steel rod having a diameter of 5 cm fits snugly between two rigid walls that are 10 cm apart, at room temperature. Young's modulus of elasticity and coefficient of linear expansion of steel are 2 x 106 kgf/cm2 and 12 x 10-6/°C, respectively. The stress developed in the rod due to a 100°C rise in temperature will be ____ × 103 kgf/cm2


Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 62

L = 10 cm

E = 2 x 106 kgf/cm2

α = 12 x 10-6/oC

ΔT = 100oC

∵ Strain is prevented, stress will be induced in steel rod.

It is statically indeterminate. So, we use one equation on compatibility:

= 12 x 10-6 x 2 x 106 x 100

= 2.4 x 103 kgf/cm2

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 8 - Question 63

The spot speeds (in kmph) of vehicles measured by a traffic police during one hour are: 50, 35, 48, 96, 42, 36, 65, and 70. The ratio of time and space mean speeds (up to 3 decimal places) is -


Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 63

Time mean speed, TMS (kmph)

Gate Mock Test Civil Engineering (CE)- 8 - Question 64

The stepped cantilever is subjected to movements, M as shown in the figure below. The vertical deflection at the free end (neglecting the self weight) is

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 8 - Question 64

Gate Mock Test Civil Engineering (CE)- 8 - Question 65

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 Gate Mock Test Civil Engineering (CE)- 8 - Question 65

As per IS:800-2007
For column, restrained against both rotation and transalation at one end and restrained only against rotation but free to translate at other end
Theoretical value of effective length factor = 1.0
Design value of effective length factor = 1.2

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