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Gate Mock Test Civil Engineering (CE)- 6 - Civil Engineering (CE) MCQ


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30 Questions MCQ Test GATE Civil Engineering (CE) 2025 Mock Test Series - Gate Mock Test Civil Engineering (CE)- 6

Gate Mock Test Civil Engineering (CE)- 6 for Civil Engineering (CE) 2024 is part of GATE Civil Engineering (CE) 2025 Mock Test Series preparation. The Gate Mock Test Civil Engineering (CE)- 6 questions and answers have been prepared according to the Civil Engineering (CE) exam syllabus.The Gate Mock Test Civil Engineering (CE)- 6 MCQs are made for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Gate Mock Test Civil Engineering (CE)- 6 below.
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Gate Mock Test Civil Engineering (CE)- 6 - Question 1

Directions: In the following question, two sentences labelled I and II are given. Which of them is/are correct?

(I) My heart is much full of words.

(II) My heart is too full for words.

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 6 - Question 1
Here, 'too' means 'in addition; as well; besides; also'.
Gate Mock Test Civil Engineering (CE)- 6 - Question 2

Directions: In the following question, a set of three figures X, Y and Z shows a sequence in which a piece of paper is folded and finally cut from one or more sections. Below these figures, a set of answer figures marked (a), (b), (c) and (d) shows the design which the paper actually acquires when it is unfolded. You have to select the answer figure which most closely resembles the unfolded piece of paper.

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 6 - Question 2
After the paper is unfolded, the following pattern will be observed

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Gate Mock Test Civil Engineering (CE)- 6 - Question 3

Directions: Choose the most appropriate alternative from the options given below to complete the following sentence:

Suresh's dog is the one __________ was hurt in the stampede.

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 6 - Question 3
Suresh's dog is the one that was hurt in the stampede.
Gate Mock Test Civil Engineering (CE)- 6 - Question 4

Directions: In the following question, choose the word which best fills the blank from the four options given.

The uncalled-for remarks by the leader ______ the situation and many of his followers turned violent

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 6 - Question 4
'Aggravated' is the correct answer because it means that his remarks worsened the situation further.
Gate Mock Test Civil Engineering (CE)- 6 - Question 5

Let un+1 = 2un + 1, (n = 0, 1, 2, .......) and u0 = 0, then, u10 would be nearest to

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 6 - Question 5
un + 1 = 2un + 1

u0 = 0, given

u1 = 2(0) + 1 = 1

u2 = 2(1) + 1 = 3

u3 = 2(3) + 1 = 7

u4 = 2(7) + 1 = 15. If you observe the pattern, un = 2n - 1

Hence, u10 = 210 - 1 = 1023

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

In Indore, Annapurna area has 2000 telephone subscribers and government collects fixed charges of Rs. 280 per month from each subscriber. The government proposes to increase the tariff and if it is forecasted for each rupee increase, there will be an equivalent amount of subscribers discontinuing. So, what increase will bring maximum revenue to the government?

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 6 - Question 6
F(x) = (2000 - x)(280 + x)

F`(x) = (2000 - x) + (280 + x)(-1)

= 2000 - x - 280 - x = 1720 - 2x

F"(x) = -2 (which is negative)

So,

1720 - 2x = 0

1720 = 2x

x = 860

x = Rs. 860

Gate Mock Test Civil Engineering (CE)- 6 - Question 7

In an event, A rows his boat upstream in a river flowing with a steady speed of 6 km/hr and then returns to the same point without rowing (i.e. only with the speed of river). If the total distance covered by A is 42 km and the time taken in rowing the boat upstream is 4 hours more than his return journey, find the speed of A in still water.

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 6 - Question 7

Given

Total distance covered = 42 km

River speed = 6 km/hr

Distance covered in both directions = 21 km

According to the question,

Suppose the speed of boat in still water be x km/hr.

Then, Time taken in rowing upstream = Time taken in returning to the same point + 4 hr

Therefore, the speed of the boat in still water is 8.8 km/hr.

Hence, this is the required solution.

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

Directions: In the following question, a set of three figures X, Y and Z shows a sequence in which a piece of paper is folded and finally cut from one or more sections. Below these figures, a set of answer figures marked (a), (b), (c) and (d) shows the design which the paper actually acquires when it is unfolded. You have to select the answer figure which most closely resembles the unfolded piece of paper.

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 6 - Question 8
After the paper is unfolded, the following pattern will be observed

Gate Mock Test Civil Engineering (CE)- 6 - Question 9

A piece of paper is folded and punched as shown below:

From the following alternative figures, indicate how this piece of paper will appear when unfolded.

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 6 - Question 9

Gate Mock Test Civil Engineering (CE)- 6 - Question 10

Directions: Rearrange the jumbled letters in the following four options and find the odd word among them.

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 6 - Question 10
1. MOON

2. FLOWER

3. PLANET

4. STAR

All except 2 are heavenly bodies.

Gate Mock Test Civil Engineering (CE)- 6 - Question 11

The rank of matrix is

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 6 - Question 11

∴ Rank(A) = number of non zero rows = 2

Gate Mock Test Civil Engineering (CE)- 6 - Question 12

The recursion relative to solve x = e-x using Newton-Raphson method is

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 6 - Question 12
Let f(x) = x - e-x, so, f'(x) = 1 + e-x

The Newton-Raphson method is given by

xn + 1 = xn - (f(x)/f'(x))

Gate Mock Test Civil Engineering (CE)- 6 - Question 13

The shape of the cumulative distribution function of Gaussian distribution is:

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 6 - Question 13
The image below shows a Normal Distribution Curve, and a Cumulative Distribution of that Normal (Gaussian) Distribution.

Cumulative Distribution of a Normal Distribution Curve

Gate Mock Test Civil Engineering (CE)- 6 - Question 14

The solution of differential equation xdy/dx + y(x2–1) = 2x3 is

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 6 - Question 14

Here P = x - (1/x) and Q = 2x2

The integrating factor is

Then the general solution is

Gate Mock Test Civil Engineering (CE)- 6 - Question 15

Gypsum is typically added in cement to

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 6 - Question 15
Gypsum is added in concrete mixture for preventing quick setting.
Gate Mock Test Civil Engineering (CE)- 6 - Question 16

A column of height h with a rectangular cross section of size a x 2a has a buckling load of P. If the cross section is changed to 0.5a x 3a and its height changed to 1.5h, the buckling load of the redesigned column will be

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 6 - Question 16
Buckling load,

Given; P =

Buckling load of redesigned column = = P/12

Gate Mock Test Civil Engineering (CE)- 6 - Question 17

In an Oedometer apparatus, a specimen of fully saturated clay has been consolidated under a vertical pressure of 50 kN/m2 and is presently at equilibrium. The effective stress and pore water pressure immediately on increasing the vertical stress to 150 kN/m2 respectively are

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 6 - Question 17
Increase in vertical stress (∆σ) = 150 - 50 = 100 kN/m2

Clay soil is saturated and no shearing, so

∆σ = Pore water pressure increase

∆P = 100 kN/m2

The soil is in equilibrium at 50 kN/m2.

The initial pore water pressure = 0

Final pore water pressure = 100 + 0 = 100 kN/m2

Effective stress = Total stress - Pore water pressure = 150 - 100 = 50 kN/m

Gate Mock Test Civil Engineering (CE)- 6 - Question 18

For the velocity profile for laminar boundary flow , the wall shear stress on the plate is given by _______. (Here, b is the width of the plate.)

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 6 - Question 18
Wall shear stress is given by τo which is

Gate Mock Test Civil Engineering (CE)- 6 - Question 19

If water is flowing at the same depth in most hydraulically efficient triangular and rectangular channel sections, then the ratio of hydraulic radius of triangular section to that of rectangular section is

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 6 - Question 19
For most hydraulic efficient triangular channel

For most hydraulic efficient rectangular channel

Gate Mock Test Civil Engineering (CE)- 6 - Question 20

A plane truss with applied loads is shown in the figure.

The members which do not carry any force are

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 6 - Question 20
Conditions for zero force members are

(i) When the members meet at a joint and are non-collinear, and no external force acts at that joint, then both the members will be the zero force members.

(ii) When the members meet at joint and two are collinear and no external force acts at the joint then the third member will be zero force member.

According to the above statements:

We can say that FT, TG, HU, MP and PL members are zero force members.

Gate Mock Test Civil Engineering (CE)- 6 - Question 21

Which one of the following statements is correct?

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 6 - Question 21
Pyrolysis is the process of heating up the organic matter to high temperatures, in the absence of oxygen, so as to decompose it. It changes the chemical composition of the matter. The process is endothermic because it uses external heat to carry out the reaction. Hence (4) is the correct option. Option (2) is simply incorrect. Option (3) is incorrect because combustion is exothermic and (1) is incorrect since it takes place in the presence of oxygen.
Gate Mock Test Civil Engineering (CE)- 6 - Question 22

Find delta (in cm) when duty is 2000 hectare cumec and base period is 30 days.

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 6 - Question 22
Given: D = 2000 hectare cumec and B = 30

Gate Mock Test Civil Engineering (CE)- 6 - Question 23

The liquid forms of particulate air pollutants are

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 6 - Question 23
The liquid forms of particulate air pollutants are mist and spray.

Note: Mist is a cloud made of very small drops of water in the air just above the ground which reduces the visibility.

Gate Mock Test Civil Engineering (CE)- 6 - Question 24

Match each differential equation in Group I to its family of solution curves in Group II:

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 6 - Question 24
(A) dy/dx = y/x

Or, log y = log x + log c

Or, y = cx Straight Line

Thus, options (1) and (3) may be correct.

(B) dy/dx = - y/x

Or, log y = - log x + log c

Or, log y = log 1/x + log c

Or, y = c/x Hyperbola

(C) dy/dx = x/y

ydy - xdx = 0

Integrating we get

y2 - x2 = c, a hyperbola

(D) dy/dx = -x/y

ydy + xdx = 0

Integrating we get

x2 + y2 = c, a circle

Gate Mock Test Civil Engineering (CE)- 6 - Question 25

A highway designed for 80 km/h speed has a horizontal curve section with radius 250 m. If the design lateral friction is assumed to develop fully, the required super elevation is

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 6 - Question 25

Design speed (v) = 80 km/h = 80 × 5/18 = 22.22 m/s

Design lateral friction = 0.15

Radius (R) = 250 m

We know that

Gate Mock Test Civil Engineering (CE)- 6 - Question 26

The equation of streamline passing through the point (4, 5) for a flow field is

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 6 - Question 26
Equation of streamline is

On integration,

It passes through the point (4,5).

C = 16.5

Therefore, the equation of streamline

*Multiple options can be correct
Gate Mock Test Civil Engineering (CE)- 6 - Question 27

Which of the following is/are correct statement(s)?

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 6 - Question 27
(i) If we combine all the boundaries of water pond, then it will represent contour line.

(ii) The staff intercept will be less when the staff is held nearer to the observation point, in the case of fixed hair stadia tacheometry.

(iii) Back bearing = Fore bearing ± 180

(iv) WCB = 270°, RB = N90°W

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 6 - Question 28

At a road curve of radius 450 m, for a vehicle speed of 120 km/h, the total super elevation required is ___________ m. Take the width of the road as 20 m and the coefficient of friction as 0.20. (Answer up to two decimal places)


Detailed Solution for Gate Mock Test Civil Engineering (CE)- 6 - Question 28
Given: R = 450 m, V = 120 km/h,

w = 20 m and f = 0.20

Super elevation e is

Total super elevation is ew = 0.052(20) = 1.04

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 6 - Question 29

The volume determined from ∫∫∫v 8xyz dv for V = [2, 3] × [1, 2] × [0, 1] (in integers) is __________.


Detailed Solution for Gate Mock Test Civil Engineering (CE)- 6 - Question 29
x limits: 2 to 3; y limits: 1 to 2, z limits: 0 to 1

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 6 - Question 30

Find the total hardness (in mg/l) of CaCO3 if the values of hardness of calcium and magnesium ions respectively are 50 mg/l and 72 mg/l, and the combined weights of CaCO3, calcium and magnesium ions are 50 mg, 20 mg and 12 mg, respectively. (Answer up to the nearest integer)


Detailed Solution for Gate Mock Test Civil Engineering (CE)- 6 - Question 30
Hardness is due to multixalent cations.

Total hardness in mg/l as CaCO3 is

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