Civil Engineering Gate 2015 Set-2 Questions with Answer

Ques 1 GATE 2015 SET-2


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


(p-3, q-1, r-4, s-2) is the correct answer.

Ques 2 GATE 2015 SET-2


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 $f''(x_0) > 0$


(d) is the correct answer.

Ques 3 GATE 2015 SET-2


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 GATE 2015 SET-2


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

A

1

B

-1

C

i

D

-i


(d) is the correct answer.

Ques 5 GATE 2015 SET-2


is equal to

A

e-2

B

e

C

1

D

e2


(d) is the correct answer.

Ques 6 GATE 2015 SET-2


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


(b) is the correct answer.

Ques 7 GATE 2015 SET-2


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 GATE 2015 SET-2


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 GATE 2015 SET-2


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


(d) is the correct answer.

Ques 10 GATE 2015 SET-2


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 GATE 2015 SET-2


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


(c) is the correct answer.

Ques 12 GATE 2015 SET-2


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 GATE 2015 SET-2


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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