Civil Engineering Gate Yearwise 

Civil Engineering Gate 2014 Set-1 Questions with Answer

Ques 1 GATE 2014 SET-1

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

A

passes through x = 0, y = 0

B

has a slope of +1

C

is parallel to the x-axis

D

has a slope of -1


(is parallel to the x-axis) is the correct answer.

Ques 2 GATE 2014 SET-1

limx→∞ ((x + sin x) / x) equals to

A

-0.8

B

0

C

1

D

∞


(c) is the correct answer.

Ques 3 GATE 2014 SET-1

Given the matrices , the product KTJK is


(23) is the correct answer.

Ques 4 GATE 2014 SET-1

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)


(0.4) is the correct answer.

Ques 5 GATE 2014 SET-1

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

A

9/5

B

3/4

C

4/5

D

5/2


(9/5) is the correct answer.

Ques 6 GATE 2014 SET-1

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

A

5/2

B

3/2

C

3/4

D

4/5


(a) is the correct answer.

Ques 7 GATE 2014 SET-1

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

A

y = (1/P)(1 - a cos(2πx/L))

B

y = (1/P)(1 - a sin(2πx/L))

C

y = a sin(nπx/L)

D

y = a cos(nπx/L)


(y = a sin(nπx/l)) is the correct answer.

Ques 8 GATE 2014 SET-1

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


(12) is the correct answer.

Ques 9 GATE 2014 SET-1

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


(0.265) is the correct answer.

Ques 10 GATE 2014 SET-1

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

A

F = 56.389 kN and θ = 28.28°

B

F = -56.389 kN and θ = -28.28°

C

F = 9.055 kN and θ = -1.414°

D

F = -9.055 kN and θ = -1.414°


(a) is the correct answer.

Ques 11 GATE 2014 SET-1

Some of the nontoxic metals normally found in natural water are

A

arsenic, lead and mercury

B

calcium, sodium and silver

C

cadmium, chromium and copper

D

iron, manganese and magnesium


(d) is the correct answer.

Ques 12 GATE 2014 SET-1

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


(2.75) is the correct answer.

Ques 13 GATE 2014 SET-1

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

A

50.42

B

44.00

C

38.00

D

23.27


(b) is the correct answer.

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