Civil Engineering Gate Yearwise 

Civil Engineering GATE 2015 Set-2 Questions with Answer

Ques 1 Construction Materials and Management

Match the information related to tests on aggregates given in Group-I with that in Group-II.

Group-I Group-II
P. Resistance to impact 1. Hardness
Q. Resistance to wear 2. Strength
R. Resistance to weathering action 3. Toughness
S. Resistance to crushing 4. Soundness

A

P-1, Q-3, R-4, S-2

B

P-3, Q-1, R-4, S-2

C

P-4, Q-1, R-3, S-2

D

P-3, Q-4, R-2, S-1



Ques 2 Engineering Mathematics

While minimizing the function $f(x)$, necessary and sufficient conditions for a point, $x_0$ to be a minima are:

A

$f'(x_0) > 0$ and $f''(x_0) = 0$

B

$f'(x_0) < 0$ and $f''(x_0) = 0$

C

$f'(x_0) = 0$ and $f''(x_0) < 0$

D

$f'(x_0) = 0$ and $f''(x_0) > 0$



Ques 3 Engineering Mathematics

In Newton-Raphson iterative method, the initial guess value ($x_{in}$) is considered as zero while finding the roots of the equation: $f(x) = -2 + 6x - 4x^2 + 0.5x^3$. The correction, $Delta x_i$ to be added to $x_{in}$ in the first iteration is _______.


0.33 is the correct answer.


Ques 4 Engineering Mathematics

Given, $i = sqrt{-1}$, the value of the definite integral, is

A

1

B

-1

C

i

D

-i



Ques 5 Engineering Mathematics

is equal to

A

e-2

B

e

C

1

D

e2



Ques 6 Engineering Mathematics

Let A = [aij], 1 ≤ i, j ≤ n with n ≥ 3 and aij = i.j. The rank of A is:

A

0

B

1

C

n - 1

D

n



Ques 7 Engineering Mathematics

The probability density function of a random variable, x is

The mean, μx of the random variable is _______.


1.066 is the correct answer.


Ques 8 Engineering Mathematics

Consider the following second order linear differential equation:

The boundary conditions are: at x = 0, y = 5 and at x = 2, y = 21. The value of y at x = 1 is _______.


18 is the correct answer.


Ques 9 Engineering Mathematics

The two Eigen values of the matrix have a ratio of 3:1 for p = 2. What is another value of p for which the Eigen values have the same ratio of 3:1?

A

-2

B

1

C

7/3

D

14/3



Ques 10 Engineering Mathematics

For step-size, △x = 0.4, the value of following integral using Simpson's 1/3 rule is _______.


1.367 is the correct answer.


Ques 11 Environmental Engineering

SO2 and CO adversely affect

A

oxygen carrying capacity of blood and functioning of lungs respectively

B

functioning of the respiratory system and brain respectively

C

functioning of the respiratory system and oxygen carrying capacity of blood respectively

D

functioning of air passages and chest respectively



Ques 12 Environmental Engineering

A landfill is to be designed to serve a population of 200000 for a period of 25 years. The solid waste (SW) generation is 2 kg/person/day. The density of the un-compacted SW is 100 kg/m3 and a compaction ratio of 4 is suggested. The ratio of compacted fill (i.e., SW + cover) to compacted SW is 1.5. The landfill volume (in million m3) required is _______.


13.7 is the correct answer.


Ques 13 Environmental Engineering

A water treatment plant of capacity, 1 m3/s has filter boxes of dimensions 6 m x 10 m. Loading rate to the filters is 120 m3/day/m2. When two of the filters are out of service for back washing, the loading rate (in m3/day/m2) is _______.


144 is the correct answer.


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