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Gate Mock Test Civil Engineering (CE)- 10 - Civil Engineering (CE) MCQ


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30 Questions MCQ Test - Gate Mock Test Civil Engineering (CE)- 10

Gate Mock Test Civil Engineering (CE)- 10 for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Gate Mock Test Civil Engineering (CE)- 10 questions and answers have been prepared according to the Civil Engineering (CE) exam syllabus.The Gate Mock Test Civil Engineering (CE)- 10 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)- 10 below.
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Gate Mock Test Civil Engineering (CE)- 10 - Question 1
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Getting to the top is __________ than staying on the top.

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 10 - Question 1
Since the blank is followed by 'than', we need the comparative form of 'easy' which is 'easier'.
Gate Mock Test Civil Engineering (CE)- 10 - Question 2
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Directions: Select the option that depicts how the given transparent sheet of paper would appear, if it is folded at the dotted line.

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 10 - Question 2

In the first figure, we assume that we have cut the paper from the dotted line and lined the edges with the other piece. Now, if we place the cut part back onto the other half, we would get this image.

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Gate Mock Test Civil Engineering (CE)- 10 - Question 3
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In a company, 35% of the employees drink coffee, 40% of the employees drink tea and 10% of the employees drink both tea and coffee. What % of employees drink neither tea nor coffee?

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 10 - Question 3
C → Coffee → % of employees who drink coffee = 35%

T → Tea → % of employees who drink tea = 40%

% of employees who drink both tea and coffee = 10%

→ % of employees who drink neither tea nor coffee

= 100% - (25% + 10% + 30%)

= 35% (∵ From the Venn diagram)

Gate Mock Test Civil Engineering (CE)- 10 - Question 4
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Directions: In this question, the second figure of the problem figures bears a certain relationship to the first figure. Similarly, one of the figures in the answer figures bears the same relationship to the third problem figure. You have to select the figure from the set of answer figures which would replace the sign of the question mark (?).
Detailed Solution for Gate Mock Test Civil Engineering (CE)- 10 - Question 4
Problem figure (2) is the mirror image of problem figure (1), but with inverse operations. Hence, to get the missing figure, the operations in problem figure (3) will become opposite, that is, '÷' will become '×' and vice versa.

Gate Mock Test Civil Engineering (CE)- 10 - Question 5
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Four persons P, Q, R and S are to be seated in a row, all facing the same direction, but not necessarily in the same order. P and R cannot sit adjacent to each other. S should be seated to the right of Q. The number of distinct seating arrangements possible is:
Detailed Solution for Gate Mock Test Civil Engineering (CE)- 10 - Question 5
According to the given information,

Total number of ways = 2 + 2 + 2 = 6

The number of distinct seating arrangements possible is 6.

Gate Mock Test Civil Engineering (CE)- 10 - Question 6
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Directions: Read the given information carefully and answer the question that follows.

An automobile plant contracted to buy shock absorbers from two suppliers X and Y. X supplies 60% and Y supplies 40% of the shock absorbers. All shock absorbers are subjected to a quality test. The ones that pass the quality test are considered reliable. Of X's shock absorbers, 96% are reliable. Of Y's shock absorbers, 72% are reliable.

The probability that a randomly chosen shock absorber, which is found to be reliable, being made by Y, is
Detailed Solution for Gate Mock Test Civil Engineering (CE)- 10 - Question 6

Gate Mock Test Civil Engineering (CE)- 10 - Question 7
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Consider two rectangular sheets, sheet M and sheet N of dimensions 6 cm × 4 cm each.

Folding operation 1: The sheet is folded into half by joining the short edges of the current shape.

Folding operation 2: The sheet is folded into half by joining the long edges of the current shape.

Folding operation 1 is carried out on sheet M three times.

Folding operation 2 is carried out on sheet N three times.

The ratio of perimeters of the final folded shape of sheet N to the final folded shape of sheet M is ______.
Detailed Solution for Gate Mock Test Civil Engineering (CE)- 10 - Question 7

Gate Mock Test Civil Engineering (CE)- 10 - Question 8
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Directions: Find the sum to n terms of the series.

10 + 84 + 734 + ___
Detailed Solution for Gate Mock Test Civil Engineering (CE)- 10 - Question 8
The given series is 10 + 84 +734 +...........+ n terms

= (9 + 1) + (92 + 3) + (93 +5) +(94+7) + ……………. n terms

=(9 +92 + 93 + …………….n terms ) + ( 1+ 3 + 5 + 7 …….. n terms)

Gate Mock Test Civil Engineering (CE)- 10 - Question 9
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A function,λ , is defined by

The value of the expression is:
Detailed Solution for Gate Mock Test Civil Engineering (CE)- 10 - Question 9

Gate Mock Test Civil Engineering (CE)- 10 - Question 10
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If a = -5, b = -6 and c = 10, then the value of is
Detailed Solution for Gate Mock Test Civil Engineering (CE)- 10 - Question 10

As we known that

 

= -(a+b+c)

= -(-5 +6 + 10)

= -(-1)

= 1

Gate Mock Test Civil Engineering (CE)- 10 - Question 11
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The noise from an aeroplane engine 100 m from an observer is 40 dB in intensity. The ratio of intensity of sound at 2 km will be x : 1. Find the value of x. (Answer up to the nearest integer)

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 10 - Question 11

Gate Mock Test Civil Engineering (CE)- 10 - Question 12
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The value of is.
Detailed Solution for Gate Mock Test Civil Engineering (CE)- 10 - Question 12

Applying L'Hospital's rule,

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 10 - Question 13
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Calculate the pavement thickness(in cm) of base course by triaxial test method using the following data:

Wheel load = 4100 kg

Radius of contact area = 15 cm

Traffic Co-efficient, X = 1.5

Rainfall Co-efficient, Y = 0.9

Design deflection,Δ = 0.25 cm

E - Value of sub-grade soil, Es = 100 kg/cm2

E - Value of base course material, Eb = 400 kg/cm2

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 10 - Question 13

= 104.64 0.63

= 65.9 cm

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 10 - Question 14
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The void ratio of a clay soil sample M decreased from 0.575 to 0.510 when the applied pressure is increased from 120 kPa to 180 kPa. For the same increment in pressure, the void ratio of another clay soil sample N decreases from 0.600 to 0.550. If the ratio of hydraulic conductivity of sample M to sample N is 0.125, then the ratio of the coefficient of consolidation of sample M to sample N (round off to three decimal places) is ________.

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 10 - Question 14
(Δe)M = 0.575 - 0.510 = 0.065

Change in pressure (Δσ) = 180 kPa - 120 kPa = 60 kPa

(Δe)N = 0.600 - 0.550 = 0.05

Hydraulic conductivity

We known that

Coefficient of volume compressibility (mv) =

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 10 - Question 15
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A crest vertical curve joins two gradients of +3% and -2% for a design speed of 80 km/h and the corresponding stopping sight distance of 120 m. The height of driver's eye and the object above the road surface are 1.20 m and 0.15 m, respectively. The curve length (which is less than stopping sight distance (in m)) to be provided is (Answer up to the nearest integer)

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 10 - Question 15

When L < SSD,

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 10 - Question 16
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A lake has a maximum depth of 60 m. If the mean atmospheric pressure in the lake region is 91 kPa and the unit weight of the lake water is 9790 N/m3, the absolute pressure (in kPa, round off to two decimal places) at the maximum depth of the lake is _______.

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 10 - Question 16
Mean atmosphere = 91 kPa

Unit weight of water = 9790 N/m3

Absolute pressure at maximum depth = Po + pg h

= 91 kPa + (9790) × 60/1000

= 91 + 587.4

= 678.4 kPa

Gate Mock Test Civil Engineering (CE)- 10 - Question 17
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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)- 10 - Question 17

  • Normal strain is defined as deformation per unit length.

Normal strain , ∊ = δ/L

  • For homogeneous and isotropic material, elongation/(contraction) produced by axial any force in the direction of force is accompanied by contraction/(elongation) in all transverse direction and all such contractions (elongations) are same.

  • Poisson's ratio (μ) = Lateral strain/Axial strain

  • Young's modulus = Stress/ Strain (within elastic limit)

Gate Mock Test Civil Engineering (CE)- 10 - Question 18
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Read the statements given below:

(i) Values of the wind profile exponent for the 'very unstable' atmosphere is smaller than the wind profile exponent for the 'neutral' atmosphere.

(ii) Downwind concentration of air pollutants due to an elevated point source will be inversely proportional to the wind speed.

(iii) Value of the wind profile exponent for the 'neutral' atmosphere is smaller than the wind profile exponent for the 'very unstable' atmosphere.

(iv) Downwind concentration of air pollutants due to an elevated point source will be directly proportional to the wind speed.

Select the correct option.
Detailed Solution for Gate Mock Test Civil Engineering (CE)- 10 - Question 18
(a) For statement 4 and statement 2

According to Fick's law of diffusion,

It is assumed that the plume has a Gaussian distribution in both z (vertical) and y (horizontal) direction.

The concentration of a gas or aerosol (< 20)="" calculated="" at="" ground="" level="" for="" a="" distance="" downward="" x="" is="" given="" />

Where,

C is the concentration of pollutant,

U is mean wind speed,

σy is the standard deviation of horizontal plume concentration, in the crosswind direction,

σx is the standard deviation of horizontal plume concentration, in the vertical direction,

H is effective stack height (m),

X is the downward distance along the plume mean centerline from a point source (m),

Y is crosswind distance from the centerline of the plume (m),

From the relation, we can see that the downwind concentration of air pollutants due to an elevated point source is not directly proportional to the wind speed.

Whereas it is inversely proportional to concentration.

Statement 4 is false and statement 2 is true.

(b) Category

A – Extremely unstable

B – Moderately unstable

C – Slightly unstable

D – Neutral

E – Slightly stable

F – Moderately Stable

For neutral (D) velocity > For very unstable (A),

The value of the wind profile exponent for the 'very unstable' atmosphere is smaller than the wind profile exponent for the 'neutral' atmosphere

Statement 4 is false whereas statement 1 is true.

Gate Mock Test Civil Engineering (CE)- 10 - Question 19
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A one-storeyed rigid portal frame, ABCD, carries loads P and Q as shown in the figure. It is hinged at the two supports A and D.

The structure is statically
Detailed Solution for Gate Mock Test Civil Engineering (CE)- 10 - Question 19
Correct Answer: indeterminate to the first degree
Gate Mock Test Civil Engineering (CE)- 10 - Question 20
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Relationship between traffic speed and density is described using a negatively sloped straight line. If vf is the free-flow speed, then the speed at which the maximum flow occurs is
Detailed Solution for Gate Mock Test Civil Engineering (CE)- 10 - Question 20
As per green shields model,

Maximum capacity occurs at the 1/2 × maximum speed

Gate Mock Test Civil Engineering (CE)- 10 - Question 21
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The allowable shear stress in stiffened webs of mild steel beams decreases with
Detailed Solution for Gate Mock Test Civil Engineering (CE)- 10 - Question 21
For unstiffened webs the permissible shear stress,Tva = 0.4 fy

For stiffened web:

(i) For webs where distance between vertical stiffeners (c) is less than 'd'

(ii) For webs where distance between vertical stiffeners (c) is more than 'd'

Thus, with increased spacing between vertical stiffeners,Tva decreases.

*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 10 - Question 22
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A 12-hour unit hydrograph (of 1 cm excess rainfall) of a catchment is of a triangular shape with a base width of 144 hour and a peak discharge of 23 m3/s. The area of the catchment (in km2, round off to the nearest integer) is __________.

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 10 - Question 22

Area under unit hydrograph = Area of 12 hr hydrograph × Catchment area

1/2 × 23 (m3/sec) × 144 × (60 × 60) sec = A × 106 × 1/100

A = 596.16 km2

Area of catchment

Gate Mock Test Civil Engineering (CE)- 10 - Question 23
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For two plates of equal thickness, full strength of fillet weld can be ensured if its maximum size, for square edge, is limited to
Detailed Solution for Gate Mock Test Civil Engineering (CE)- 10 - Question 23
The maximum size of a fillet weld is obtained by subtracting 1.5 mm from the thickness of the thinner member to be jointed. This specification limits the size of the fillet weld so that total strength may be developed without over-stressing the adjacent metal.
*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 10 - Question 24
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An elevated cylindrical water storage tank is shown in the figure. The tank has inner diameter of 1.5 m. It is supported on a solid steel circular column of diameter 75 mm and total height (L) of 4 m. Take water density = 1000 kg/m3 and acceleration due to gravity = 10 m/s2.

If elastic modulus (E) of steel is 200 GPa, ignoring self-weight of the tank, for the supporting steel column to remain unbuckled, the maximum depth (h) of the water permissible (in m, round off to one decimal place) is _______.

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 10 - Question 24
Condition for no buckling is

Maximum weight of water < buckling="" load="" of="" the="" column="" volume="" ×="" />

Gate Mock Test Civil Engineering (CE)- 10 - Question 25
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While applying the Winter and Pei's method of analysis to folded plates, ______________.
Detailed Solution for Gate Mock Test Civil Engineering (CE)- 10 - Question 25
displacement of the junction of hipped plate can be ignored if the span/depth ratio is less than 4
*Answer can only contain numeric values
Gate Mock Test Civil Engineering (CE)- 10 - Question 26
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A perfectly flexible and inextensible cable is shown in the figure (not to scale). The external loads at F and G are acting vertically.

The magnitude of tension in the cable segment FG (in kN, round off to two decimal places) is ____

Detailed Solution for Gate Mock Test Civil Engineering (CE)- 10 - Question 26

By solving equations (1) and (2),

FBD of EF:

Let us consider section (1)-(1)

Left side

Gate Mock Test Civil Engineering (CE)- 10 - Question 27
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If a > 0 and discriminant of ax2 + 2bx + c is negative, then
Detailed Solution for Gate Mock Test Civil Engineering (CE)- 10 - Question 27
Since discriminant of ax2 + 2bx + c is negative ⇒ b2 - ac < 0,="" a="" /> 0 ....(1)

Applying the transformation R1 = xR1, we get

R1= R1 + R2 gives

R1=R1 - R3 gives

= - ve (from equation (1)

Gate Mock Test Civil Engineering (CE)- 10 - Question 28
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The smallest eigen value and the corresponding eigen vector of the matrix , respectively, are
Detailed Solution for Gate Mock Test Civil Engineering (CE)- 10 - Question 28

Characteristic equation is

Gate Mock Test Civil Engineering (CE)- 10 - Question 29
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For the differential equation dy/dt + 5y = 0, with y(0) = 1, the general solution is
Detailed Solution for Gate Mock Test Civil Engineering (CE)- 10 - Question 29

Gate Mock Test Civil Engineering (CE)- 10 - Question 30
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A prismatic steel beam is shown in the figure.

The plastic moment, Mp calculated for the collapse mechanism using static method and kinematic method is
Detailed Solution for Gate Mock Test Civil Engineering (CE)- 10 - Question 30
Static method

Kinematic method

In both the methods Mp = 2PL/9

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