Civil Engineering GATE 2014 Set-1 Questions with Answer

Ques 1 Engineering Mathematics

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

Ques 2 Engineering Mathematics

lim_x→∞ ((x + sin x) / x) equals to

Ques 3 Engineering Mathematics

Given the matrices , the product K^TJK is

Ques 4 Engineering Mathematics

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

Ques 5 Engineering Mathematics

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

Ques 6 Engineering Mathematics

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

Ques 7 Engineering Mathematics

If the following equation establishes equilibrium in slightly bent position, the mid-span deflection of a member shown in the figure is
d²y/dx² + (P/EI)y = 0
If a is amplitude constant for y, then

Ques 8 Engineering Mathematics

A particle moves along a curve whose parametric equations are: x = t³ + 2t, y = -3e^-2t and z = 2 sin(5t) where x, y and z show variations of the distance covered by the particle (in cm) with time t (in s). The magnitude of the acceleration of the particle (in cm/s²) at t = 0 is

Ques 9 Engineering Mathematics

A traffic office imposes on an average 5 number of penalties daily on traffic violators. Assume that the number of penalties on different days is independent and follows a Poisson distribution. The probability that there will be less than 4 penalties in a day is

Ques 10 Engineering Mechanics

A box of weight 100 kN shown in the figure is to be lifted without swinging. If all forces are coplanar, the magnitude and direction (θ) of the force (F) with respect to x-axis should be

Ques 11 Environmental Engineering

Some of the nontoxic metals normally found in natural water are

Ques 12 Environmental Engineering

The amount of CO₂ generated (in kg) while completely oxidizing one kg of CH₄ to the end products is

Ques 13 Environmental Engineering

16 MLD of water is flowing through a 2.5 km long pipe of diameter 45 cm. The chlorine at the rate of 32 kg/d is applied at the entry of this pipe so that disinfected water is obtained at the exit. There is a proposal to increase the flow through this pipe to 22 MLD from 16 MLD. Assume the dilution coefficient, n = 1. The minimum amount of chlorine (in kg per day) to be applied to achieve the same degree of disinfection for the enhanced flow is