Civil Engineering - GATE 2018 Paper Solution

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

“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

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?

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?

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

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?

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?

Which of the following function(s) is an accurate description of the graph for the range(s) indicated?
(i)   $y=2x+4$ for $-3\leq x\leq-1$
(ii)  $y=\left|x-1\right|$ for $-1\leq x\leq2$
(iii) $y=\left|\left|x\right|-1\right|$ for $-1\leq x\leq2$
(iv) $y=1$ for $2\leq x\leq3$

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

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?

Which one of the following matrices is singular?

For the given orthogonal matrix Q,

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

The inverse is

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

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

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 $0.45f_{ck}$, where $f_{ck}$ 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

The Le Chatelier apparatus is used to determine

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