# Civil Engineering - GATE 2014 Paper Solution

### SET- 1

A student is required to demonstrate a high level of comprehension of the subject, especially in the social sciences.

The word closest in meaning to comprehension is

Choose the most appropriate word from the options given below to complete the following sentence.

One of his biggest ______ was his ability to forgive.

Rajan was not happy that Sajan decided to do the project on his own. On observing his unhappiness, Sajan explained to Rajan that he preferred to work independently.
Which one of the statements below is logically valid and can be inferred from the above sentences?

If y = 5x2 + 3, then the tangent at x = 0, y = 3

A foundry has a fixed daily cost of Rs 50,000 whenever it operates and a variable cost of Rs 800Q, where Q is the daily production in tonnes. What is the cost of production in Rs per tonne for a daily production of 100 tonnes?

Find the odd one in the following group: ALRVX, EPVZB, ITZDF, OYEIK

Anuj, Bhola, Chandan, Dilip, Eswar and Faisal live on different floors in a six-storeyed building (the ground floor is numbered 1, the floor above it 2, and so on). Anuj lives on an even-numbered floor. Bhola does not live on an odd numbered floor. Chandan does not live on any of the floors below Faisal’s floor. Dilip does not live on floor number 2. Eswar does not live on a floor immediately above or immediately below Bhola. Faisal lives three floors above Dilip. Which of the following floor-person combinations is correct?

The smallest angle of a triangle is equal to two thirds of the smallest angle of a quadrilateral. The ratio between the angles of the quadrilateral is 3:4:5:6. The largest angle of the triangle is twice its smallest angle. What is the sum, in degrees, of the second largest angle of the triangle and the largest angle of the quadrilateral?

One percent of the people of country X are taller than 6 ft. Two percent of the people of country Y are taller than 6 ft. There are thrice as many people in country X as in country Y. Taking both countries together, what is the percentage of people taller than 6 ft?

The monthly rainfall chart based on 50 years of rainfall in Agra is shown in the following figure. Which of the following are true? (k percentile is the value such that k percent of the data fall below that value)

 (i) On average, it rains more in July than in December (ii) Every year, the amount of rainfall in August is more than that in January (iii) July rainfall can be estimated with better confidence than February rainfall (iv) In August, there is at least 500 mm of rainfall

$\underset{x\to \infty }{\mathrm{lim}}\left(\frac{x+\mathrm{sin}x}{x}\right)$ equals to

Given the matrices $J=\left[\begin{array}{ccc}3& 2& 1\\ 2& 4& 2\\ 1& 2& 6\end{array}\right]$ and $K=\left[\begin{array}{c}1\\ 2\\ -1\end{array}\right]$,the product KT JK is _________.

The probability density function of evaporation E on any day during a year in a watershed is given by

The probability that E lies in between 2 and 4 mm/day in a day in the watershed is (in decimal) _____________

The sum of Eigen values of the matrix, [M] is

With reference to the conventional Cartesian (x, y) coordinate system, the vertices of a triangle have the following coordinates: (x1, y1) = (1, 0); (x2, y2) = (2, 2); and (x3, y3) = (4, 3). The area of the triangle is equal to

Match the information given in Group – I with those in Group - II.

 Group – I Group – II P Factor to decrease ultimate strength to design strength 1 Upper bound on ultimate load Q Factor to increase working load to ultimate load for design 2 Lower bound on ultimate load R Statical method of ultimate load analysis 3 Material partial safety factor S Kinematical mechanism method of ultimate load analysis 4 Load factor

The possible location of shear centre of the channel section, shown below, is