Practice Test: Civil Engineering (CE)- 14 - Civil Engineering (CE) MCQ

# Practice Test: Civil Engineering (CE)- 14 - Civil Engineering (CE) MCQ

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## 30 Questions MCQ Test GATE Civil Engineering (CE) 2025 Mock Test Series - Practice Test: Civil Engineering (CE)- 14

Practice Test: Civil Engineering (CE)- 14 for Civil Engineering (CE) 2024 is part of GATE Civil Engineering (CE) 2025 Mock Test Series preparation. The Practice Test: Civil Engineering (CE)- 14 questions and answers have been prepared according to the Civil Engineering (CE) exam syllabus.The Practice Test: Civil Engineering (CE)- 14 MCQs are made for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Practice Test: Civil Engineering (CE)- 14 below.
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Practice Test: Civil Engineering (CE)- 14 - Question 1

### There are two lines made by joining points A, B,C. B lies between the line joining A and C. Is the distance between the A and C passes through the B more then 7 Km. I. The distance between A and B is 6 Km II. Distance between B to C is 7 Km long,

Detailed Solution for Practice Test: Civil Engineering (CE)- 14 - Question 1

From Statement I

We know the distance between Points B and C but we do not know about the distance between A and B

Statement II

This statement tells us about the distance between A and B and by using Both statement we can calculate the distance between A and C that is longer than the 7 Km.

Practice Test: Civil Engineering (CE)- 14 - Question 2

### Direction: In the given question, a word/phrase is given followed by three statements; I, II and III. Choose the pair of sentences which can be combined using the given word/ phrase when used at the beginning of the new sentence. And I: When Lionel Messi, Ronaldo and Neymar kick and dribble the football, they don’t remain confined to Argentina, Portugal or Brazil, respectively. II: Let the entire world realise that through sports, especially football, we all can cement our bonds, wash away our bitterness and prejudices. III: Live with a greater sense of closeness and joy with each other.

Detailed Solution for Practice Test: Civil Engineering (CE)- 14 - Question 2

‘And’ is used as a conjunction here which is used to introduce an additional comment or interjection.

Here sentences II and III are displaying same sense that is realizing the benefit of football in our lives whereas sentence I is providing entirely different aspect of football as a sport.

Hence option (B) will be the most appropriate choice.

New sentence: Let the entire world realise that through sports, especially football, we all can cement our bonds, wash away our bitterness and prejudices, and live with a greater sense of closeness and joy with each other.

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Practice Test: Civil Engineering (CE)- 14 - Question 3

### Which of the following is the MOST SIMILAR in meaning to Accreditation?

Detailed Solution for Practice Test: Civil Engineering (CE)- 14 - Question 3

Accreditation = an acknowledgement of a person's responsibility for or achievement of something.

Certification = an official document attesting to a status or level of achievement.

Meticulous = showing great attention to detail; very careful and precise.

Lurid = very vividly shocking.

Suppressive = tending or acting to suppress.

Agreement = harmony or accordance in opinion or feeling.

Practice Test: Civil Engineering (CE)- 14 - Question 4

In how many ways can you place 2 white bishops on an empty chess board?

Detailed Solution for Practice Test: Civil Engineering (CE)- 14 - Question 4

One white bishop can be placed on any of the 32 white boxes and the other white bishop can be placed on any of the 32 black boxes.

Ways of doing that = 32C1 * 32C1

= 32 * 32 = 1024

Practice Test: Civil Engineering (CE)- 14 - Question 5

Direction: In the question below are given statements followed by some conclusions. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statement:

No physics is maths.

Some chemistry is maths.

All sciences are chemistry.

Conclusion:

I. No science is physics.

II. Some physics are science.

III. Some physics are chemistry

Detailed Solution for Practice Test: Civil Engineering (CE)- 14 - Question 5

The least possible Venn diagram for the given statements is as follows.

Conclusions:

I. No science is physics → False (It is possible but not definite).

II. Some physics are science → False (It is possible but not definite)

III. Some physics are chemistry → False (It is possible but not definite)

Conclusion I and II form complementary pair.

Hence, either conclusion I or II follows.

Practice Test: Civil Engineering (CE)- 14 - Question 6

Direction: Read the information carefully and give the answer of the following questions-

(This pie chart shows the percentage of students appear in six different exams in 2016)

(This bar graph shows the percentage of failed students which appear in these six different exams in 2016)

If in 2016, total number of failed students in exam F was 4080, then how many passed students appears in the exam B?

Detailed Solution for Practice Test: Civil Engineering (CE)- 14 - Question 6

14280 ( Let total number of students be = 100z.

Total number of students appears in exam F = 16% of 100z = 16z;

Total number of failed students in exam F = 30% of 16z = 4.8z = 4080;

=> z = 850;

Total number of passed students appears in the exam B = (100 – 30)% of 24% of 100z = 16.8z = 16.8 × 850 = 14280 ;)

Practice Test: Civil Engineering (CE)- 14 - Question 7

Direction: Two sentences with two blanks in each, followed by five alternatives with two words in each, are given. Choose that option as the answer which can fill both the blanks of both the sentences.

i. A sinking feeling of panic ________ over them and a temporary paralyzing fear engulfed them ________.

ii. Being a cleanliness freak, she ________ the floor and went down to the market only after the house was _________ clean.

Detailed Solution for Practice Test: Civil Engineering (CE)- 14 - Question 7

‘Sweep’ is to clean (an area) by brushing away dirt or litter. It fits the first blank of the second sentence, as the subject is cleaning the floor. Further, ‘sweep over’ means to overcome or overwhelm, thus fits in the first blank of the first sentence. The second blank of both the sentences can be filled by "completely", thus conveying an appropriate sense. Thus, option D is the correct answer.

Practice Test: Civil Engineering (CE)- 14 - Question 8

Direction: Five statements are given below, labelled 1, 2, 3, 4 and 5 which are supposed to be in a logical order. A statement labelled P is given thereafter. P can replace one of the five statements such that the four statements along with P would make a coherent paragraph. You have to identify which statement should P replace and then the find out the correct sequence from the options. If the five options are in logical order and form a coherent paragraph/passage, choose the fifth option “12345”.

1) The future of Germany’s coalition government is hanging in the balance after the country’s interior minister reportedly announced his intention to resign over a migration showdown with Angela Merkel.

2) Horst Seehofer, who is also leader of the Christian Social Union, on Sunday night offered to step down from his ministerial role and party leadership in a closed-door meeting in which he and fellow CSU leaders had debated the merits of the migration deal Merkel hammered out with fellow European Union leaders in Brussels.

3) But with CSU hardliners believed to have tried to talk the combative interior minister into staying, a press conference was postponed until Monday, with Seehofer seeking to go back to Merkel in search of a final compromise.

4) At a 2am media conference, Seehofer said he had agreed to meet again with Merkel’s party before he made his decision final.

5) “We’ll have more talks today with the CDU in Berlin with the hope that we can come to an agreement,” Seehofer said.

Direction: In the given question, a statement with a single blank is given. Choose the most effective word from the given options to complete the sentence meaningfully.

The fog was so thick during the morning, that it seemed like walking _________ a cloud.

Detailed Solution for Practice Test: Civil Engineering (CE)- 14 - Question 8

Here the sense conveyed is that the fog being too thick, appeared like clouds. You would walk "through" a fog or a tunnel, thus, option D is the best fit answer in the given context. 'Along' means to walk side by side and does not fit in the given context.

Practice Test: Civil Engineering (CE)- 14 - Question 9

4 identical solid spheres are melted and re-formed into a solid hemisphere. Then, the ratio of the curved surface area of the hemisphere to half of the surface area of a single sphere is -

Detailed Solution for Practice Test: Civil Engineering (CE)- 14 - Question 9

Let radius of sphere be ‘r’ and radius of hemisphere be ‘R’.

Then, ATQ, Volume of Spheres = Volume of Hemisphere

4 x (4/3)πr3 = (2/3)πR3

Or, R / r = (8)1/3 = 2 …(1)

C.S.A of hemisphere = 2πR2

And, Surface area of sphere = 4πr2

ATQ, 2πR2 :( ½) of 4πr2

= 2πR2 :2πr2 = R2 :r2 {using (1)}

= 4 :1

Practice Test: Civil Engineering (CE)- 14 - Question 10

A study of people who reduced the calories they consumed has found the strongest evidence yet that such restrictions slow down metabolism, raising hopes that a low calories lifestyle or treatments stimulating biological effects of restricted eating, could prolong health in old age. The report provides the most robust evidence to date that everything we have learnt in other animals can be applied to humans.

Which of the following argument will prove that the above conclusion is flawed?

Detailed Solution for Practice Test: Civil Engineering (CE)- 14 - Question 10

The given passage gives the benefits of reducing calories to attain a healthier lifestyle and out of the given options, option B seems to give a contradictory fact stating that the lack of required calories may cause problems to the body. Hence, option B is correct.

Practice Test: Civil Engineering (CE)- 14 - Question 11

Detailed Solution for Practice Test: Civil Engineering (CE)- 14 - Question 11

Practice Test: Civil Engineering (CE)- 14 - Question 12

The order and degree of the differential equation, are respectively.

Detailed Solution for Practice Test: Civil Engineering (CE)- 14 - Question 12

The order is 4 since highest differential is d2y/dx2 and the degree is 2 since power of highest differential 2.

Practice Test: Civil Engineering (CE)- 14 - Question 13

The divergence of the vector field x2i + 2y3j + z4k at x =1 , y= 2, z = 3 is

Detailed Solution for Practice Test: Civil Engineering (CE)- 14 - Question 13

Given

Practice Test: Civil Engineering (CE)- 14 - Question 14

Let , then the smallest positive integer I , such that is ______________

Detailed Solution for Practice Test: Civil Engineering (CE)- 14 - Question 14

so any integer less than 12 is not possible for this condition.

Practice Test: Civil Engineering (CE)- 14 - Question 15

The value of the function

Detailed Solution for Practice Test: Civil Engineering (CE)- 14 - Question 15

Since this function has form, limit can be found by application of L’Hospitals Rule

Practice Test: Civil Engineering (CE)- 14 - Question 16

In levelling, if the sum of back sight and fore sight is 1.365 and 0.875 m and reduced level of B.M. is 100 m. then reduced level of end point will be-

Detailed Solution for Practice Test: Civil Engineering (CE)- 14 - Question 16

According to arithmetic check;

∑B.S - ∑F.S = first R.L – last R.L

So, last R.L = first R.L + ∑F.S - ∑B.S

= 100 + 0.875 – 1.365

= 99.51 m

Practice Test: Civil Engineering (CE)- 14 - Question 17

The maximum height of a low gravity dam of elementary profile made up of concrete of relative density 2.4 and safe allowable stress on foundation is 3.6MPa (Ignoring uplift force).

Detailed Solution for Practice Test: Civil Engineering (CE)- 14 - Question 17

Maximum height of dam is given by

H= F/(ϒw × (Sc – C+1))

Here F=3.6MPa

ϒw = 9.81KN/m^3

Sc =2.4

C=0

On solving H=107.93m hence correct option is A

*Answer can only contain numeric values
Practice Test: Civil Engineering (CE)- 14 - Question 18

The level of water in the reservoir is 1.25 m. If there is a rainfall of 38 cm occurring in a month, during this period evaporation as measured by the class A pan is 32 cm. What is the level of water in m at the end of the month.

Detailed Solution for Practice Test: Civil Engineering (CE)- 14 - Question 18

Evaporation in lake = Pan coefficient × Pan evaporation

= 0.7 × 32 = 22.4 cm

Initial level + Rainfall – Evaporation = Final level

Final level = 1.25 + 0.38 – 0.224 = 1.406 m

Practice Test: Civil Engineering (CE)- 14 - Question 19

The permeability coefficient of sand with void ratio of 0.65 is 3.048 cm/min. Estimate the permeability coefficient at a void ratio of 0.8 using casagrande empirical relationship.

Detailed Solution for Practice Test: Civil Engineering (CE)- 14 - Question 19

From the Casagrande relationship,

Note:

A, Casagrande has also given an empirical relation for k for the fine or medium clean sands with bulky grain as

K = 1.4e2k0.85Where k0.85 is the coefficient of permeability at a void ratio of 0.85

Practice Test: Civil Engineering (CE)- 14 - Question 20

A 12 m3 moist soil sample with volume of soil solid as 9m3 is examined and the laboratory results reveal that the porosity of the soil sample is 25 %. The relative porosity of the sample is _____.

Practice Test: Civil Engineering (CE)- 14 - Question 21

Which one of the following is correctly showing the level of manometer column.

Detailed Solution for Practice Test: Civil Engineering (CE)- 14 - Question 21

AV=constant

By applying Bernoulli's theorem, we know that if velocity increases then the pressure will decrease.

Lets take option 1

at the throat, the area will be less so velocity will increase and pressure will decrease. so the fluid will rise in the tube. Hence this option is right.

option 2

this can not be true as at the throat side fluid is falling which indicate a decrease in velocity and increase in pressure. That is wrong

Same concept follows for option 3 and 4. only option 4 depicts the continuity concept. So only case 1and 4 are right.

*Answer can only contain numeric values
Practice Test: Civil Engineering (CE)- 14 - Question 22

A singly reinforced rectangular beam has a width of 200 mm and an effective depth of 350 mm. The limiting value of the moment of resistance of the beam is _________ kN-m.

[Take M20 grade concrete and Fe415 grade steel and adopt the stress block for concrete as given in IS 456: 2000]

Detailed Solution for Practice Test: Civil Engineering (CE)- 14 - Question 22

For Feb 15,

Practice Test: Civil Engineering (CE)- 14 - Question 23

The slack of events 3 and 5 is from the project network given below?

Detailed Solution for Practice Test: Civil Engineering (CE)- 14 - Question 23

The earliest expected time and latest allowable time of event ‘3’ is 2 and 4 respectively. Thus slack = 4-2 =2.

Similarly, the earliest expected time and latest allowable time of event ‘5’ is 6 and 6 respectively. Thus slack = 6-6=0.

Practice Test: Civil Engineering (CE)- 14 - Question 24

Figure shows the network for a particular project which consists of four activities.

Normal duration time and crash time for each activity are given below

The velocity of fluid 2.234 m/s having a viscosity 0.023 Pa.s with density 2.345 is measured at a distance of 95 mm from the boundary. Find the shear stress at the boundary?

Detailed Solution for Practice Test: Civil Engineering (CE)- 14 - Question 24

From the boundary conditions:

We see that the gradient will be:

dV/dy = 2.234 m/s /0.095 m

= 23.5/s

Now we will see for shear stress by:

Ʈ = µ dV/dy = 0.023 Pa.s x 23.5 s = 0.540 Pa

Practice Test: Civil Engineering (CE)- 14 - Question 25

Which acid is used to distinguish the steel and the wrought iron on the field?

Detailed Solution for Practice Test: Civil Engineering (CE)- 14 - Question 25

Nitric acid (HNO3) is used to distinguish. If a drop of nitric acid is placed on steel, it will produce a dark grey stain because of higher carbon content whereas in wrought iron, the stain will not be appreciable due to very low carbon content.

Practice Test: Civil Engineering (CE)- 14 - Question 26

The topmost layer is loose, clean sand, 1.5 meter thick. Its vertical permeability can be estimated using Hazen’s formula with C = 1.5 and D10 = 0.016mm. Its horizontal permeability is known to be 350% of the Kv. Below the sand stratum is a layer of marl, 3.5 meters thick, with a kv = Kh = 10-4 m/s. what is the Equivalent Horizontal permeability for the upper 5 m in cm/sec?

Detailed Solution for Practice Test: Civil Engineering (CE)- 14 - Question 26

Given that the vertical permeability in sand layer can be estimated using Allen- Hazen’s formula

Kv = C (D10)2

C = 1.5 and D10 = 0.016mm

Kv = 0.0384 x 10-3 cm/sec

Horizontal permeability for sandy layer is 350% of Kv

i.e. Kh = 3.5 (0.0384 x10-3 ) = 0.134 x10-3 cm/sec

Kh(equ) =(K1H1+K2H2)/(H1+H2)

Here K1 = 0.134 x10-3 cm/sec; H1 = 1.5m

K2 = 10-4 cm/sec; H2 = 3.5m

On substituting, we get Kh(equ) = 1.102 x 10-4 cm/sec

Practice Test: Civil Engineering (CE)- 14 - Question 27

Cayley-Hamilton Theorem states that a square matrix satisfies its own characteristic equation. Consider a matrix A satisfies the relation

Detailed Solution for Practice Test: Civil Engineering (CE)- 14 - Question 27

Characteristic equation is given by, , | A - λ | = 0

As Cayley-Hamilton Theorem states, a square matrix satisfies this equation, then,

A2 + 3A + 2I = 0

Multiplying A–1 to both sides, we get

⇒ ? + 3? + 2? −1 = 0

Practice Test: Civil Engineering (CE)- 14 - Question 28

The hardness of a ground water sample was found to be 420 mg/L as CaCO3 A softener containing ion exchange resins was installed to reduce the total hardness to 75 mg/L as CaCO3 before supplying to 4 households. Each household gets treated water at a rate of 540 L/day. If the efficiency of the softener is 100%, the bypass flow rate (expressed in L/day) is _____________.

Detailed Solution for Practice Test: Civil Engineering (CE)- 14 - Question 28

Since each household gets water = 540 L/day

So, total treated water = 540×4=2160 L/day

Let bypass flow rate is QL/day

So,

Practice Test: Civil Engineering (CE)- 14 - Question 29

Consider the matrix:

J6= [0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 ]

Which is obtained by reversing the order of the columns of the identity matrix I6.

Let P=I6+αJ6, where α is a non-negative real number. The value of α for which det(P) = 0 is ___________.

Detailed Solution for Practice Test: Civil Engineering (CE)- 14 - Question 29

Consider, (I) Let

∵ α is non negative

∵ the value of (1 - α2) = 0 given in the question

∴ α = 1

Practice Test: Civil Engineering (CE)- 14 - Question 30

A beam of uniform strength is to be produced for a special purpose of application. But the section of the beam needs to be varied, and this could be achieved by;

Detailed Solution for Practice Test: Civil Engineering (CE)- 14 - Question 30

Beam of uniform strength is one in which the maximum bending stress is same in every section along the longitudinal axis.

Uniform strength can be achieved by :

• Keeping the width constant throughout the length and varying the depth. This is the most widely used method.

• Keeping the depth constant throughout the length and varying the width

• Or by varying both width and depth suitably.

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