Civil Engineering - GATE 2016 Paper Solution

SET - 1

Out of the following four sentences, select the most suitable sentence with respect to grammar and usage.

A rewording of something written or spoken is a ______________.

Archimedes said, “Give me a lever long enough and a fulcrum on which to place it, and I will move the world.”
The sentence above is an example of a ___________ statement.

If ‘relftaga’ means carefree, ‘otaga’ means careful and ‘fertaga’ means careless, which of the following could mean ‘aftercare’?

A cube is built using 64 cubic blocks of side one unit. After it is built, one cubic block is removed from every corner of the cube. The resulting surface area of the body (in square units) after the removal is __________.

A shaving set company sells 4 different types of razors, Elegance, Smooth, Soft and Executive. Elegance sells at Rs. 48, Smooth at Rs. 63, Soft at Rs. 78 and Executive at Rs. 173 per piece. The table below shows the numbers of each razor sold in each quarter of a year.
 Quarter \ Product Elegance Sm Smooth Soft Executive Q1 27300 20009 17602 9999 Q2 25222 19392 18445 8942 Q3 28976 22429 19544 10234 Q4 21012 18229 16595 10109

Which product contributes the greatest fraction to the revenue of the company in that year?

Indian currency notes show the denomination indicated in at least seventeen languages. If this is not an indication of the nation’s diversity, nothing else is.

Which of the following can be logically inferred from the above sentences?

Consider the following statements relating to the level of poker play of four players P, Q, R and S.

I. P always beats Q

II. R always beats S

III. S loses to P only sometimes

IV. R always loses to Q

Which of the following can be logically inferred from the above statements?

(i) P is likely to beat all the three other players

(ii) S is the absolute worst player in the set

If $\mathrm f\left(x\right)=2x^7+3x-5$, which of the following is a factor of $\mathrm{f}\left(x\right)$ ?

In a process, the number of cycles to failure decreases exponentially with an increase in load. At a load of 80 units, it takes 100 cycles for failure. When the load is halved, it takes 10000 cycles for failure. The load for which the failure will happen in 5000 cycles is ________.

Newton-Raphson method is to be used to find root of equation $3x-{e}^{x}+\mathrm{sin}x=0$ If the initial trial value for the root is taken as 0.333, the next approximation for the root would be _________

(note: answer up to three decimal)

The type of partial differential equation $\frac{{\partial }^{2}P}{\partial {x}^{2}}+\frac{{\partial }^{2}P}{\partial {y}^{2}}+3\frac{{\partial }^{2}P}{\partial x\partial y}+2\frac{\partial P}{\partial x}-\frac{\partial P}{\partial y}=0\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}$ is

If the entries in each column of a square matrix $Μ$ add up to 1, then an eigenvalue of $Μ$ is

Type II error in hypothesis testing is

The solution of the partial differential equation $\frac{\partial u}{\partial t}=\alpha \frac{{\partial }^{2}u}{\partial {x}^{2}}$ is of the form

Consider the plane truss with load P as shown in the figure. Let the horizontal and vertical reactions at the joint B be HB and VB, respectively and VC be the vertical reaction at the joint C. Which one of the following sets gives the correct values of VB, HB and VC?

In shear design of an RC beam, other than the allowable shear strength of concrete $\style{font-family:'Times New Roman'}{\left(\tau_c\right)}$ , there is also an additional check suggested in IS 456-2000 with respect to the maximum permissible shear stress $\style{font-family:'Times New Roman'}{\left(\tau_{c\;\max}\right)}$ . The check for  $\style{font-family:'Times New Roman'}{\tau_{c\;\max}}$ is required to take care of

The semi-compact section of a laterally unsupported steel beam has an elastic section modulus, plastic section modulus and design bending compressive stress of $500\mathrm{cm}^3$ ,$650\mathrm{cm}^3$ and, $200\;\mathrm{MPa}$ respectively. The design flexural capacity (expressed in kNm) of the section is _________