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Practice Test: Civil Engineering (CE)- 3


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65 Questions MCQ Test GATE Civil Engineering (CE) 2023 Mock Test Series | Practice Test: Civil Engineering (CE)- 3

Practice Test: Civil Engineering (CE)- 3 for Civil Engineering (CE) 2023 is part of GATE Civil Engineering (CE) 2023 Mock Test Series preparation. The Practice Test: Civil Engineering (CE)- 3 questions and answers have been prepared according to the Civil Engineering (CE) exam syllabus.The Practice Test: Civil Engineering (CE)- 3 MCQs are made for Civil Engineering (CE) 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Practice Test: Civil Engineering (CE)- 3 below.
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Practice Test: Civil Engineering (CE)- 3 - Question 1

Choose the word or phrase which is nearest in meaning to the key word Lethargy

Practice Test: Civil Engineering (CE)- 3 - Question 2

The following question comprise two words that have a certain relationship between them followed by four pairs of words. Select the pair that has same relationship as the original pair of words.
Break : Piece

Practice Test: Civil Engineering (CE)- 3 - Question 3

Replace the phrase printed in bold to make it grammatically correct ?
"Even though many companies" are now penetrating rural India, it would help to give India a real chance of witnessing a double digit GDP growth

Practice Test: Civil Engineering (CE)- 3 - Question 4

Improve the sentence with suitable options by replacing the underlined word.
He is still in vigorous health although he is on the "right" side of sixty.

Practice Test: Civil Engineering (CE)- 3 - Question 5
Complete the given sentence by choosing the correct phrase.
You cannot succeed unless
Practice Test: Civil Engineering (CE)- 3 - Question 6
Chirag decided to give 12% of his salary to his younger brother as a pocket money.But he gave 1260 Rs which was 60% of what he had decided earlier. How much is Chirag’s salary?
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 6 Let x be Chirag’s salary:

x = 17500 Rs
Practice Test: Civil Engineering (CE)- 3 - Question 7
Two pipes can fill a tank in 15 minutes and 25 minutes respectively. Both the pipes are opened together and after some time, the first pipe is closed and the tank is completely full in 15 minutes. For how many minutes is the first pipe opened?
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 7
t = 6 min.
Practice Test: Civil Engineering (CE)- 3 - Question 8
A and B are required to solve a problem independently. If 1/2 and 1/3 are their respectively probabilities of solving the problem, then the probability that atleast one of them solves the problem.
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 8 Probability that atleast one of them solves the problem = P
Practice Test: Civil Engineering (CE)- 3 - Question 9
What is the probability that a leap year has 53 Sundays and 52 Mondays?
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 9 In leap year there are 366 days.
There are 52 weeks + 2 days
1. - Mon. + Tue.
2. - Tue. + Wed.
3. - Wed. + Thu.
4. - Thu. + Fri.
5. - Fri. + Sat.
6. - Sat. + Sun. = 53 Sundays + 52 Mondays
7. - Sun. + Mon.
Probability =1/7
Practice Test: Civil Engineering (CE)- 3 - Question 10
A certain sum of money is invested for one year at a certain rate of simple interest. If the rate of interest is 3% higher, then the interest earned will be 25% more than the interest earned earlier. What is the earlier rate of interest ?
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 10
r = 12% per annum
Practice Test: Civil Engineering (CE)- 3 - Question 11
The rank of the matrix is 2, find the value of k?
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 11 The rank of the matrix = 2

(-k+16+18) - (-12+4+6k) = 0
k = 6
Practice Test: Civil Engineering (CE)- 3 - Question 12
How many solutions does the system of linear equations have:
-x + 5y = -1
x – y = 2
x + 3y = 3
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 12 The augmented matrix is given by

Rank of [AB]=2, (Determinant of [AB]=0)
Rank of [A]=2
Therefore, unique solution
Practice Test: Civil Engineering (CE)- 3 - Question 13
The polynomial has
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 13 f(x) is polynomial of degree n with non zero constant terms:
- if f(x) has p changes of sign, then f(x) = 0 has atmost p positive real roots
- if f(-x) has q changes of sign, then f(x) = 0 has atmost q negative real roots
- f(x) = 0 has atleast (n-p-q) complex roots

p(x) has 1 negative real and 4 complex roots and no positive real root
Practice Test: Civil Engineering (CE)- 3 - Question 14
Find the value of
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 14
Practice Test: Civil Engineering (CE)- 3 - Question 15
A long shaft of diameter d is fixed at one end and is subjected to twisting moment T at other end. The maximum normal stress acting at its cross-section is equal to:
Practice Test: Civil Engineering (CE)- 3 - Question 16

Consider the I-section of a beam shown below:

If the shear stress at the level of junction in flange is 10 what will be shear stress in web at the level of junction?

Practice Test: Civil Engineering (CE)- 3 - Question 17
If the difference in elevation of the edge of pavement of 2 lane divided highway(7m wide) and its crown is 7 cm, the camber of the pavement is:
Practice Test: Civil Engineering (CE)- 3 - Question 18
In a bituminous concrete mix, bitumen and aggregates by weight are 8% and 92% respectively. Specific gravity of bitumen and aggregates are 1.1 and 2.5 respectively. Air void is 1%. Theoretical unit weight of the mix will be:
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 18
Practice Test: Civil Engineering (CE)- 3 - Question 19
The standard project flood is
Practice Test: Civil Engineering (CE)- 3 - Question 20
An irrigation canal has a steady discharge Q at a section where a cross regulation (gated) is provided for control purposes. If the gate of the regulator, which is normally fully open, is suddenly lowered down to a half open position, then a rapidly varied unsteady flow results. In such a case, it would take a form of :
Practice Test: Civil Engineering (CE)- 3 - Question 21
For the network shown in the above figure (the number on each arrow denotes the time duration of activity in days), the earliest start time, in days for activity 5-6 is:
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 21 Earliest start time of 5-6 is given activity 2-5
= 4 + 6 = 10 days
Practice Test: Civil Engineering (CE)- 3 - Question 22
The latitude and departure of line PQ are 46 m and 75 m respectively. Find the whole circle bearing of line PQ?
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 22
Since, latitude is positive hence it corresponds to +Y axis and departure is negative hence it corresponds to –X axis.
Practice Test: Civil Engineering (CE)- 3 - Question 23
The liquid limit and plastic limit of a soil sample is 40% and 25%. In liquid limit test water content varies from 5% to 25% when the number of blows increased from 10 to 100. The toughness index of the soil is?
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 23
Practice Test: Civil Engineering (CE)- 3 - Question 24
Degree of freedom for a given structure will be:
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 24
Practice Test: Civil Engineering (CE)- 3 - Question 25
The slenderness ratio in a tension member as per IS code where reversal of stress is due to loads other than winds or seismic load should not exceed:
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 25
Practice Test: Civil Engineering (CE)- 3 - Question 26
Separation of water or water sand cement from a freshly mixed concrete is known as :
Practice Test: Civil Engineering (CE)- 3 - Question 27
Calcium chloride added in concrete acts as :
Practice Test: Civil Engineering (CE)- 3 - Question 28
The increase in strength of concrete with time is :
Practice Test: Civil Engineering (CE)- 3 - Question 29
A sewage sludge has a water content of 98%. What will be the concentration of suspended solids in the sludge? (Gsludge = 1)
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 29 100 kg of sludge contains 2 kg of solids
Practice Test: Civil Engineering (CE)- 3 - Question 30
With what acceleration ‘a’ should the box descend so that the block of mass M exerts a force Mg/4 on the floor of the box?
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 30 Forces on the block are:
i) Mg downwards (by the earth)
ii) N upwards (by the floor)
Mg – N = Ma
N = Mg/4
a = 3g/4
Practice Test: Civil Engineering (CE)- 3 - Question 31
For sleeper density (n + 5), number of sleepers required for constructing a broad gauge (BG) track of length 768 m.
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 31 Length of rail on BG track = 12.8
Sleeper density = 12.8 + 5 = 18 per rail
No. of rails = =60 rails
No. of Sleepers= = 1080
Practice Test: Civil Engineering (CE)- 3 - Question 32
Which one of the following is the correct relationship between the boundary layer thickness displacement thickness and the momentum thickness ?
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 32
Practice Test: Civil Engineering (CE)- 3 - Question 33
Net safe bearing capacity for a raft (10×10)m if the depth is 5m and c = with a factor of safety as 2.5 will be:
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 33
Practice Test: Civil Engineering (CE)- 3 - Question 34
Gumbel’s method is used for the prediction of:
Practice Test: Civil Engineering (CE)- 3 - Question 35
A 3 hour unit hydrograph is parabolic in shape. The discharge rises from 0 to 72 in 6 hours and then falls to zero in next 6 hours. An average rainfall of 8 cm occurs during a period of 6 hours with uniform intensity over a catchment having index = 0.5 cm/hr. What is the peak discharge of resulting direct runoff hydrograph.
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 35 Equation of parabola is given by:

Equation of 6 hour unit hydrograph is obtained by lagging the unit hydrograph by 3hour ,Hence; equation of 6 hour unit hydrograph becomes:

2 (x-6) + 2(x-9) = 0
x – 6 + x – 9 = 0
x = 7.5
Hence, peak discharge is given at 7.5 hours
Practice Test: Civil Engineering (CE)- 3 - Question 36
Chlorination with produces hypochlorous acid (HOCL), which may further dissociate as hypochlorite ion  depending upon pH of water. The reaction is represented as:  
What is the fraction of HOCL in the water at pH = 8?
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 36
Practice Test: Civil Engineering (CE)- 3 - Question 37
Three weights are hanging by cables passing over smooth pulleys. Find out the mass m, such that the system is in equilibrium.
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 37
Practice Test: Civil Engineering (CE)- 3 - Question 38

A cast insitu SOIL bored pile 0.5m diameter and 10m deep is placed in a purely cohesive soil. If the cohesion of the soil is 4t/m2 and adhesion between the pile and the soil is half the value of cohesion, then the ultimate bearing capacity of the pile is given by :

Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 38

Practice Test: Civil Engineering (CE)- 3 - Question 39
A school is proposed to be constructed in Delhi. The soil profile of construction site is shown in the figure. A square footing of carries a load of 200 ton and is laid with its base 1m below the ground surface. Clay is normally consolidated, use 1.25 V to 1H for load dispersion. The value of settlement of clay layer on account of construction (in mm)?
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 39

Change in effective stress due to 200 tonnes
Practice Test: Civil Engineering (CE)- 3 - Question 40
A survey line AB is obstructed by a high building. To prolong the line beyond the building, a perpendicular BC 115.45m long is set at B. From C, two lines CD and CE are set out at angles of and respectively. Determine the lengths (in m) CD and CE so that D and E are on the prolongations of AB.
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 40
Practice Test: Civil Engineering (CE)- 3 - Question 41
The height of an inaccessible tower is to be determined by ranging rods. The two ranging rods of length 2.5m and 1.5m are placed in such a way that their tops are in line with the top of the tower. The distance between the ranging rods is 10m. The two ranging rods are then placed in a different setting on the same ranged out line such that the longer rod is placed 110m away from its first position and the distance between the ranging rods is 30m. If their tops are again in line with the top of the tower, determine the height of the tower.
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 41
Practice Test: Civil Engineering (CE)- 3 - Question 42

The earliest date and latest date of the events 3 and 10 are given in the above figure. Activity C is connecting both the events and its duration is 12 weeks. The independent float of the activity is:
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 42
Practice Test: Civil Engineering (CE)- 3 - Question 43
The flow in a 5m wide rectangular channel is 15 . The normal depth of flow is 2.5m. If at a certain section A, the depth of flow in the channel is 1.5m, the depth of flow at a section upstream of A would be:
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 43
In profile, depth decreases in the direction of flow Depth upstream of A would be more than 1.5m
Practice Test: Civil Engineering (CE)- 3 - Question 44
The Thiessen weights of 4 raingauges A, B, C and D covering a river basin are 0.15, 0.25, 0.30 and 0.30 respectively. If the average depth of rainfall for the basin is 5 cm, the rainfall recorded at B, C and D are 5 cm, 4 cm and 5 cm respectively. What is the rainfall at A?
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 44
Practice Test: Civil Engineering (CE)- 3 - Question 45
A rigid beam ABCD is hinged at D and supported by 2 springs at A and B as shown in the given figure. The beam carries a vertical load P at C. The stiffness of spring at A is 2k and that at B is 3k. The ratio of forces of spring B to that of spring A is:
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 45
Practice Test: Civil Engineering (CE)- 3 - Question 46
Suppose that a book of 300 pages contains 30 printing mistakes. Assume that these errors are randomly distributed throughout the book. The number of errors per page has a Poisson’s distribution. What is the probability that 20 pages selected at random will be free from errors?
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 46
Practice Test: Civil Engineering (CE)- 3 - Question 47
An examination paper has 150 MCQ’s of 1 mark each, with each equation having 4 choices. Each incorrect answer has -0.25 marks. Suppose 1000 students choose all their answers randomly with uniform probability. The sum total of expected marks obtained by all the students is:
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 47 Let us define a random variable denoting the marks scored for a question
Practice Test: Civil Engineering (CE)- 3 - Question 48
Find the value of integrating factor for the differential equation given below:
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 48
Integrating factor =
Practice Test: Civil Engineering (CE)- 3 - Question 49
A flat smooth rectangular plate is placed edgewise in a stream of fluid. At what fraction of the length from the leading edge would the drag force on the front portion be equal to the half of the total drag force? Assume the boundary layer to be laminar :
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 49 Let x be the distance from the leading edge such that the drag force in the distance x is half of the total drag force
Practice Test: Civil Engineering (CE)- 3 - Question 50
An irrotational two-dimensional flow leaves a straight duct and enters a bend of the same width, in the horizontal plane. Find the velocity difference at the inner and outer wall of the bend.
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 50 Consider a unit depth of the duct. For irrotational flow the velocity variation is :

Difference in velocity = 2.466 – 1.644 = 0.822 m/s
Practice Test: Civil Engineering (CE)- 3 - Question 51
On a simply supported beam, a concentrated load F(x) kN passes from left to right, such that :
Where [ ] represents the greatest integer function. x is the distance of load from the left end A in meters.What is the value of vertical reaction at A, when the load is at a distance of 6.5m from Left end A ?
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 51 Value of load at x = 6.5m
Practice Test: Civil Engineering (CE)- 3 - Question 52
A single stage filter is to treat a flow of 3.79 MLO of raw sewage with BOD of 240mg/L. It is to be designed for a loading of 11086 kg of BOD in raw sewage per hectare meter and recirculation is to be 1. Assume 35% of the BOD is removed in primary clarifier. Find the strength of effluent (that is BOD concentration in the effluent).
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 52 Total BOD present in raw sewage =
Practice Test: Civil Engineering (CE)- 3 - Question 53
A sedimentation tank is treating 4.5 million liters of sewage per day containing 275 ppm of suspended solids. The tank removes 50% of the suspended solids. Calculate the quantity of sludge produced per day (in tonner) if the moisture content of the sludge is 98%
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 53 Vol. of sewage treated = 4.5 ML/day
Wt. of suspended solids present in sewage = = 1237.5 kg/day
Since, 50% of solids are removed in sedimentation tank, we have
The mass of solids removed in sedimentation tank =
For sludge having 98% moisture content :

Wt. of sludge produced per day = 30.94 tones
Practice Test: Civil Engineering (CE)- 3 - Question 54
Fineness test of cement gives an estimate of :
Practice Test: Civil Engineering (CE)- 3 - Question 55
The early high strength of rapid hardening cement is due to its :
Practice Test: Civil Engineering (CE)- 3 - Question 56
The flow of activities of a project is given in the following figure. The duration of activities are indicated along the arrows

The critical path of the activities is along :
Practice Test: Civil Engineering (CE)- 3 - Question 57
Identify the critical path
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 57
Critical path 1 – 2 – 4 – 6 – 7
Practice Test: Civil Engineering (CE)- 3 - Question 58
The following are the details of estimated times of activities of a certain project

Calculate the expected project completion time ?
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 58
Practice Test: Civil Engineering (CE)- 3 - Question 59
A flat smooth rectangular plates is placed edgewise in a stream of fluid. At what fraction of the length from the leading edge would the drag force on the front portion be equal to the half of the total drag force ? Assume the boundary layer to be laminar :
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 59 Let x be the distance from the leading edge such that the drag force in the distance x is half of the total drag force

Practice Test: Civil Engineering (CE)- 3 - Question 60
A singly reinforced concrete beam of section is reinforced with Fe415 grade of steel having area of 900 .The ratio of depth of neutral axis with and without considering the partial factor of safety of materials will be ? Take Grade of concrete to be M20
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 60 ? By considering the partial factor of safety of materials
Total compression = Total tension

?Without considering the partial factor of safety of material
Practice Test: Civil Engineering (CE)- 3 - Question 61
Overtaking time required for a vehicle with design speed 50 kmph and overtaking acceleration of 12.5 to overtake a vehicle moving at a speed of 30 kmph is :
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 61
T = 6.15 sec
Practice Test: Civil Engineering (CE)- 3 - Question 62
If the velocity of moving vehicles on a road is 24 kmph, stopping sight distance is 19 meters and average length of vehicle is 6 meters, the basic capacity of a lane is :
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 62
= 960 Vehicles/hour
Practice Test: Civil Engineering (CE)- 3 - Question 63
A cantilever beam AB shown in the figure has an extension BCD attached to the free end. A force P acts at the end of the extension. What is the ratio of so that vertical deflection at point B is zero ?
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 63
Practice Test: Civil Engineering (CE)- 3 - Question 64
Calculate the elongation of copper bar of solid circular cross-section with tapered ends when it is stretched by axial loads of magnitude of 30 kN

Diameter at crosssection A, B, C and D are 0.5, 1, 1, and 0.5 cm respectively. Take E = 120 GPa
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 64
Practice Test: Civil Engineering (CE)- 3 - Question 65
While water passes through a given pipe at mean velocity V, the flow is found to change from laminar to turbulent. If another fluid of specific gravity 0.8 and coefficient of viscosity 20% of that of water, is passed through the same pipe, the transition of flow from laminar to turbulent is expected if the flow velocity is :
Detailed Solution for Practice Test: Civil Engineering (CE)- 3 - Question 65
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