Civil Engineering GATE 2017 Set-1 Questions with Answer

Ques 27 Civil

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The accuracy of an Electronic Distance Measuring Instrument (EDMI) is specified as ±(a mm + b ppm) Which one of the following statements is correct?

A

Both a and b remain constant, irrespective of the distance being measured.

B

a remains constant and b varies in proportion to the distance being measured.

C

a varies in proportion to the distance being measured and b remains constant.

D

Both a and b vary in proportion to the distance being measured.

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Ques 28 Civil

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The number of spectral bands in the Enhanced Thematic Mapper sensor on the remote sensing satellite Landsat-7 is

A

64

B

10

C

8

D

15

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Ques 29 Civil

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Consider the following partial differential equation: 3(∂²Φ/∂x²) + B(∂²Φ/∂x∂y) + 3(∂²Φ/∂y²) + 4Φ = 0. For this equation to be classified as parabolic, the value of B² must be _______.

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Ques 30 Civil

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lim_x→0(tan x / (x² - x)) is equal to _______.

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Ques 31 Civil

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A 3 m thick clay layer is subjected to an initial uniform pore pressure of 145 kPa as shown in the figure.

For the given ground conditions, the time (in days, rounded to the nearest integer) required for 90% consolidation would be _______.

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Ques 32 Civil

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A triangular pipe network is shown in the figure.

The head loss in each pipe is given by h_f = rQ^1.8, with the variables expressed in a consistent set of units. The value of r for the pipe AB is 1 and for the pipe BC is 2. If the discharge supplied at the point A (i.e., 100) is equally divided between the pipes AB and AC, the value of r (up to two decimal places) for the pipe AC should be _______.

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Ques 33 Civil

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The ordinates of a 2-hour unit hydrograph for a catchment are given as

The ordinate (in m³/s) of a 4-hour unit hydrograph for this catchment at the time of 3 h would be _______.

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Ques 34 Civil

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Vehicles arriving at an intersection from one of the approach roads follow the Poisson distribution. The mean rate of arrival is 900 vehicles per hour. If a gap is defined as the time difference between two successive vehicle arrivals (with vehicles assumed to be points), the probability (up to four decimal places) that the gap is greater than 8 seconds is _______.

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Ques 35 Civil

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For the function f(x) = a + bx, 0 ≤ x ≤ 1, to be a valid probability density function, which one of the following statements is correct?

A

a = 1, b = 4

B

a = 0.5, b = 1

C

a = 0, b = 1

D

a = 1, b = -1

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Ques 36 Civil

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The solution of the equation dQ/dt + Q = 1 with Q = 0 at t = 0 is

A

Q(t) = e^-t - 1

B

Q(t) = 1 + e^-t

C

Q(t) = 1 - e^t

D

Q(t) = 1 - e^-t

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Ques 37 Civil

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Consider the matrix

Which one of the following statements is TRUE for the eigenvalues and eigenvectors of this matrix?

A

Eigenvalue 3 has a multiplicity of 2, and only one independent eigenvector exists.

B

Eigenvalue 3 has a multiplicity of 2, and two independent eigenvectors exist.

C

Eigenvalue 3 has a multiplicity of 2, and no independent eigenvector exists.

D

Eigenvalues are 3 and -3, and two independent eigenvectors exist.

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Ques 38 Civil

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A planar truss tower structure is shown in the figure.

Consider the following statements about the external and internal determinacies of the truss.
(P) Externally Determinate
(Q) External Static Indeterminacy = 1
(R) External Static Indeterminacy = 2
(S) Internally Determinate
(T) Internal Static Indeterminacy = 1
(U) Internal Static Indeterminacy = 2
Which one of the following options is correct?

A

P-False; Q-True; R-False; S-False; T-False; U-True

B

P-False; Q-True; R-False; S-False; T-True; U-False

C

P-False; Q-False; R-True; S-False; T-False; U-True

D

P-True; Q-True; R-False; S-True; T-False; U-True

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Ques 39 Civil

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Group I contains three broad classes of irrigation supply canal outlets. Group II presents hydraulic performance attributes.

The correct match of the items in Group I with the items in Group II is

A

P-1; Q-2; R-3

B

P-3; Q-1; R-2

C

P-2; Q-3; R-1

D

P-1; Q-3; R-2

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