Civil Engineering - GATE 2018 Paper Solution

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Question No. 1

SET - 1

“ The driver applied the _______ as soon as she approached the hotel where she wanted to take a ________.”
 
The words that best fill the blanks in the above sentence are

Question No. 2

“ It is no surprise that every society has had codes of behaviour; however, the nature of these codes is often _________.”
 
The word that best fills the blank in the above sentence is

Question No. 3

Hema’s age is 5 years more than twice Hari’s age. Suresh’s age is 13 years less than 10times Hari’s age. If Suresh is 3 times as old as Hema, how old is Hema?

Question No. 4

Tower A is 90 m tall and tower B is 140 m tall. They are 100 m apart. A horizontal skywalk connects the floors at 70 m in both the towers. If a taut rope connects the top of tower A to the bottom of tower B, at what distance (in meters) from tower A will the rope intersect the skywalk?

Question No. 5

The temperature T in a room varies as a function of the outside temperature T0 and the number of persons in the room p, according to the relation $\style{font-family:'Times New Roman'}{T=K\left(\Theta p+T_0\right)}$, where $\style{font-family:'Times New Roman'}\Theta$ and K are constants. What would be the value of $\style{font-family:'Times New Roman'}\Theta$ given the following data?
T0 p T
25 2 32.4
30 5 42.0

Question No. 6

A fruit seller sold a basket of fruits at 12.5% loss. Had he sold it for Rs. 108 more, he would have made a 10% gain. What is the loss in Rupees incurred by the fruit seller?

Question No. 7

The price of a wire made of a superalloy material is proportional to the square of its length. The price of 10 m length of the wire is Rs. 1600. What would be the total price (in Rs.) of two wires of lengths 4 m and 6m?

Question No. 8

Which of the following function(s) is an accurate description of the graph for the range(s) indicated?
$\style{font-family:'Times New Roman'}{\begin{array}{l}\;\;\left(\mathrm i\right)\;\;y=2x+4\;for\;-3\leq x\leq-1\\\;(\mathrm{ii})\;\;y=\left|x-1\right|\;for\;-1\leq x\leq2\;\\(\mathrm{iii})\;\;y=\left|\left|x\right|-1\right|\;for\;-1\leq x\leq2\\(\mathrm{iv})\;\;y=1\;for\;2\leq x\leq3\end{array}}$

Question No. 9

Consider a sequence of numbers $\style{font-family:'Times New Roman'}{a_1,a_2,\;a_3,......,\;a_n}$ where $\style{font-family:'Times New Roman'}{an\;=\frac1n-\frac1{n+2}}$ for each integer $\style{font-family:'Times New Roman'}{n>0}$. What is the sum of the first 50 terms?

Question No. 10

Each of the letters arranged as below represents a unique integer from 1 to 9. The letters are positioned in the figure such that (A × B × C), (B × G × E) and (D × E × F) are equal. Which integer among the following choices cannot be represented by the letters A, B, C, D, E, F or G?

Question No. 11

Which one of the following matrices is singular?

Question No. 12

For the given orthogonal matrix Q,

$\style{font-family:'Times New Roman'}{\begin{bmatrix}3/7&2/7&6/7\\-6/7&3/7&2/7\\2/7&6/7&-3/7\end{bmatrix}}$

The inverse is

Question No. 13

At the point x = 0, the function f(x) = x3 has

Question No. 14

A column of height h with a rectangular cross-section of size $\style{font-family:'Times New Roman'}{a\times2a}$ has a buckling load of P. If the cross-section is changed to $\style{font-family:'Times New Roman'}{0.5a\;\times\;3a}$ and its height changed to 1.5h, the buckling load of the redesigned column will be

Question No. 15

A steel column of ISHB 350 @72.4 kg/m is subjected to a factored axial compressive load of 2000 kN. The load is transferred to a concrete pedestal of grade M20 through a square base plate. Consider bearing strength of concrete as 0.45fck, where fck is the characteristic strength of concrete. Using limit state method and neglecting the self weight of base plate and steel column, the length of a side of the base plate to be provided is

Question No. 16

The Le Chatelier apparatus is used to determine

Question No. 17

The deformation in concrete due to sustained loading is

Question No. 18

A solid circular beam with radius of 0.25 m and length of 2 m is subjected to a twisting moment of 20 kNm about the z-axis at the free end, which is the only load acting as shown in the figure. The shear stress component $\style{font-family:'Times New Roman'}{\tau_{xy}}$ at Point ‘M’ in the cross-section of the beam at a distance of 1 m from the fixed end is

Question No. 19

Two rectangular under-reinforced concrete beam sections X and Y are similar in all aspects except that the longitudinal compression reinforcement in section Y is 10% more. Which one of the following is the correct statement?

Question No. 20

The percent reduction in the bearing capacity of a strip footing resting on sand under flooding condition (water level at the base of the footing) when compared to the situation where the water level is at a depth much greater than the width of footing, is approximately

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