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Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - GATE MCQ


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30 Questions MCQ Test - Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II)

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Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 1

 where a, b, n and m are natural numbers. What is 
the value of  

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 1

n x a = a2b
n = ab ⟹ n2 = a2b2


m x b = ab
m = ab ⟹ m2 = a2b2

 

= (m×n)(n×m) = (m×n)(n×m)
= (m × n × n × m)
= m2 x n2
= a2b2 x a2b2
= a4b4

Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 2

For non-negative integers, a, b, c, what would be the value of a + b+ c if log a + log b + log c = 0 ?

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 2

As a, b, c are non-negative integers and given log a + log b + log c = 0
log (a*b*c) = log 1
⇒ a = b = c = 1
Which can be possible for simple values.
a = b = c = 1
Hence a + b + c = 1+1+1 = 3
Alternate Method:
Given, a = b = c = 1
log a + log b + log c = 0
As we know log 1 = 0, so each one of them can be zero if a = b = c = 1
log 1 + log 1 + log 1 = 0
By putting a =b= 1 equation satisfies
a + b + c = 1+1+1 = 3

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Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 3

A three-member committee has to be formed from a group of 9 people. How many such distinct committees can be formed?

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 3

Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 4

“Although it does contain some pioneering ideas, one would hardly characterize the work as ____________.” The word that best fills the blank in the above sentence is

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 4

Innovative is similar to pioneer.

Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 5

“His face _________ with joy when the solution of the puzzle was ________ to him.” The words that best fill the blanks in the above sentence are

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 5

Shone – It is past – participle and past form of shine.
Shown – To show means to reveal and point out something.

Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 6

A faulty wall clock is known to gain 15 minutes every 24 hours. It is synchronized to the correct time at 9 AM on 11th July. What will be the correct time to the nearest minute when the clock show 2 PM on 15th July of the same year?

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 6

9 AM of 11 July of 2 PM on 15th July = 101 hours
 hours of incorrect clock = 24 hours of correct clock
 hours of IC = 24 hours of correct clock 
1 hour of IC = 96/97 hours of correct clock
101 hour of IC  hours of correct clock
= 99.958 hours of correct clock
= 99 hours + 0.95876 * 60 minutes of correct clock
= 99 hours + 57.525 minutes
= 99 hours and approx. 58 minutes
So, correct time will be
2 PM, 11th July + (99 hours and 58 minutes) = 12 : 58 PM on 15th July

Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 7

Given that   10 for x ≠ y ≠ z, what is the value of the product PQR ?

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 7


Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 8

In manufacturing industries, loss is usually taken to be proportional to the square of the deviation from a target. If the loss is Rs. 4900 for a deviation of 7 units, what would be the loss in Rupees for a deviation of 4 units from the target?

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 8

Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 9

The annual average rainfall in a tropical city is 1000 mm. On a particular rainy day (24 -hour period), the cumulative rainfall experienced by the city is shown in the graph. Over the 24-hour period, 50% of the rainfall falling on a rooftop, which had an obstruction-free area of 50 m2, was harvested into a tank. What is the total volume of water collected in the tank in liters?

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 9

Cumulative rainfall = 300 mm
50% of rainfall 
Area = 50 m2
⇒ Volume stored in tank = 150 * 10-3 * 50 m3
or = 7500 L

Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 10

Each of the letters in the figure below represents a unique integer from 1 to 9. The letters are positioned in the figure such that each of ( A + B + C) , (C + D + E) , (E + F+ G) and (G + H+ K ) is equal to 13. Which integer does E represent?

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 10

A + B + C = C + D + E + E + F + G
= G + H + K = 13
If we add all, we will get = 4 * 13 = 52
But sum of all natural number 1 to 9 
A + B + C + C + D + E + E + F + G + G + H + K = 50
A  + B + C + D + E + F + G + H + K = 45
Substraction eq. (ii) from (i)
Hence, C + E + G = 7
Also, C + D + E = 13
Substraction eq. (iii) from (iv) 
D - G = 6
E = 4
Alternative Method
By checking other equations

Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 11

The clay mineral, whose structural units are held together by potassium bond is

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 11

Kaolinite → Hydrogen bond
Illite → lonic Bond/Potassium Bond
Montmorillonite → Water Bond

Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 12

A structural member subjected to compression, has both translation and rotation restrained at one end, while only translation is restrained at the other end. As per IS 456 : 2000, the effective length factor recommended for design is

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 12


One end is fixed
Other end is pin jointed
Effective length of column (as per IS : 456-2000)
= 0.80 L

Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 13

For a given discharge in an open channel, there are two depths which have the same specific energy. These two depths are known as

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 13

Depth with same specific energy are called Alternate depths of flow. It represents a subcritical 
depth of flow (Y2) and a supercritical depth of flow (Y1 ).

Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 14

Dupuit’s assumptions are valid for

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 14

unconfined aquifer

Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 15

A vertical load of 10 kN acts on a hinge located at a distance of L /4 from the roller support Q of a beam of length L (see figure).

The vertical reaction at support Q is

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 15


Bending moment about hinge point A = 0 (Consider the right hand side of A)

Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 16

Peak Hour Factor (PHF) is used to represent the proportion of peak sub-hourly traffic flow within the peak hour. If 15-minute sub-hours are considered, the theoretically possible range of PHF will be

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 16

0.25 ≤ PHF15 ≤1

*Answer can only contain numeric values
Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 17

A fillet weld is simultaneously subjected to factored normal and shear stresses of 120 MPa and 50 MPa, respectively. As per IS 800 : 2007, the equivalent stress (in MPa, up to two decimal places) is ___________


Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 17

Factored normal stress, fa = 120 MPa
Factored shear stress, q = 50 MPa
According to IS-800 : 2007, clause 10.5.10.1.1
The equivalent stress, 

Note : The above check for combination of stresses need not be done for fillet welds where the sum of normal and shear stresses does not exceed  [clause 10.5.10.1.2(b)] Hence, sum of normal 
and shear stresses = 120 + 50 = 170 MPa ≥ fwd ( = 184.75 MPa)
So, the above check need not be done.
So, weld is designed for a resultant shear stress of (fr )

So, the design stress is  however equivalent stress 147.99 MPa.

*Answer can only contain numeric values
Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 18

As per IS 456 : 2000, the minimum percentage of tension reinforcement (up to two decimal places) required in reinforced-concrete beams of rectangular cross-section (considering effective depth in the calculation of area) using Fe500 grade steel is __________________.


Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 18

Minimum percentage of steel (for Fe500)

*Answer can only contain numeric values
Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 19

A reinforced-concrete slab with effective depth of 80 mm is simply supported at two opposite ends on 230 mm thick masonry walls. The centre-to-centre distance between the walls is 3.3 m. As per IS 456 : 2000, the effective span of the slab (in m, up to two decimal places) is _________.


Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 19

Effective depth 
d = 80 mm
Width of support = 230 mm
c/c distance between walls = 3.30 m
Clear span of slab = 3.30− 0.23= 3.07 m
Effective span 

So, 
Leff = 3.15 m

*Answer can only contain numeric values
Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 20

Probability (up to one decimal place) of consecutively picking 3 red balls without replacement from a box containing 5 red balls and 1 white ball is _________


Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 20

Probability, 

Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 21

The contact pressure and settlement distribution for a footing are shown in the figure.

Q. The figure corresponds to a

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 21

Rigid footing on granular soil.

*Answer can only contain numeric values
Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 22

A culvert is designed for a flood frequency of 100 years and a useful life of 20 years. The risk involved in the design of the culvert (in percentage, up to two decimal places) is ___________


Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 22

Risk = The probability of a flood to occur at least once in n-successive years.

Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 23

Which one of the following statements is NOT correct?

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 23

Boussinesq’s assumed soil as isotropic hence not applicable for stratified soil.

Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 24

The initial concavity in the load-penetration curve of a CBR test is NOT due to

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 24

Initial concavity in CBR test due to :
• Improper compaction
• Soft top layer
• Inclined plunger

Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 25

As per IS 10500:2012, for drinking water in the absence of alternate source of water, the permissible limits for chloride and sulphate, in mg/L, respectively are

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 25

As per IS-1500: 2012
Permissible limit in absence of alternate source.

 

*Answer can only contain numeric values
Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 26

The quadratic equation 2x2 − 3x + 3 = 0 is to be solved numerically starting with an initial guess x0= 2.The new estimate of x after the first iteration using Newton-Raphson method is _____


Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 26

Given

Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 27

The setting time of cement is determined using

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 27

Vicat apparatus is used to determine the normal consistency, IST, FST of cement.

Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 28

A flownet below a dam consists of 24 equipotential drops and 7 flow channels. The difference between the upstream and downstream water levels is 6 m. The length of the flow line adjacent to the toe of the dam at exit is 1 m. The specific gravity and void ratio of the soil below the dam are 2.70 and 0.70, respectively. The factor of safety against piping is

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 28

Nf = 7 Nd = 24 H = 6 m
Critical Hydraulic Gradient 

Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 29

The solution of the equation  passing through the point (1,1) is

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 29


When

Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 30

The graph of a function f (x ) is shown in the figure.

For f (x ) to be a valid probability density function, the value of h is

Detailed Solution for Practice Test: Gate Civil Engineering(CE) 2018 Paper: (Session II) - Question 30

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