Numerical Computation and Estimation - General Aptitude - General Aptitude (GA) Previous Year Questions

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2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Civil Engineering (CE) 2015 [Session 1]

A function f(x) is linear and has a value of 29 at x = –2 and 39 at x = 3. Find its value at x = 5.

A

59

B

45

C

43

D

35

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2

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Civil Engineering (CE) 2015 [Session 1]

Workability of concrete can be measured using slump, compaction factor and Vebe time. Consider the following statements for workability of concrete:
(i) As the slump increases, the Vebe time increases
(ii) As the slump increases, the compaction factor increases

Which of the following is TRUE?

A

Both (i) and (ii) are True

B

Both (i) and (ii) are False

C

(i) is True and (ii) is False

D

(i) is False and (ii) is True

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3

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Civil Engineering (CE) 2015 [Session 1]

The development length of a deformed reinforcement bar can be expressed as (1/k) (φσs/τbd). From the IS:456-2000, the value of k can be calculated as __________.

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4

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Civil Engineering (CE) 2015 [Session 1]

In a two-dimensional steady flow field, in a certain region of the x-y plane, the velocity component in the x-direction is given by \(v_x = x^2\) and the density varies as \(\rho = \frac{1}{x}\). Which of the following is a valid expression for the velocity component in the y-direction, \(v_y\)?

A

\(v_y = -x/y\)

B

\(v_y = x/y\)

C

\(v_y = -xy\)

D

\(v_y = xy\)

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5

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Civil Engineering (CE) 2015 [Session 1]

A circular pipe has a diameter of 1 m, bed slope of 1 in 1000, and Manning’s roughness coefficient equal to 0.01. It may be treated as an open channel flow when it is flowing just full, i.e., the water level just touches the crest. The discharge in this condition is denoted by \(Q_{full}\). Similarly, the discharge when the pipe is flowing half-full, i.e., with a flow depth of 0.5 m, is denoted by \(Q_{half}\). The ratio \(Q_{full} / Q_{half}\) is:

A

1

B

\(\sqrt{2}\)

C

2

D

4

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6

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Civil Engineering (CE) 2015 [Session 1]

Solid waste generated from an industry contains only two components, X and Y as shown in the table below

Component	Composition (% weight)	Density (kg/m³)
X	c₁	ρ₁
Y	c₂	ρ₂

Assuming (c₁ + c₂) = 100, the composite density of the solid waste (ρ) is given by:

A

\(\frac{100}{\left( \frac{c_1}{\rho_1} + \frac{c_2}{\rho_2} \right)} \)

B

\(100 \left( \frac{\rho_1}{c_1} + \frac{\rho_2}{c_2} \right) \)

C

\(100(c_1\rho_1 + c_2\rho_2) \)

D

\(100 \left( \frac{\rho_1\rho_2}{c_1\rho_1 + c_2\rho_2} \right) \)

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7

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Civil Engineering (CE) 2015 [Session 1]

The penetration value of a bitumen sample tested at 25°C is 80. When this sample is heated to 60°C and tested again, the needle of the penetration test apparatus penetrates the bitumen sample by d mm. The value of d CANNOT be less than ______ mm.

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8

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Civil Engineering (CE) 2015 [Session 1]

Which of the following statements CANNOT be used to describe free flow speed (u_f) of a traffic stream?

A

u_f is the speed when flow is negligible

B

u_f is the speed when density is negligible

C

u_f is affected by geometry and surface conditions of the road

D

u_f is the speed at which flow is maximum and density is optimum

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9

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Civil Engineering (CE) 2015 [Session 1]

In a closed loop traverse of 1 km total length, the closing errors in departure and latitude are 0.3 m and 0.4 m, respectively. The relative precision of this traverse will be:

A

1: 5000

B

1: 4000

C

1: 3000

D

1: 2000

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10

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Civil Engineering (CE) 2015 [Session 1]

The directional derivative of the field \(u(x, y, z) = x^2 - 3yz\) in the direction of the vector \((\hat{i} + \hat{j} - 2\hat{k})\) at point \((2, -1, 4)\) is ______________.

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11

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Civil Engineering (CE) 2015 [Session 1]

The composition of an air-entrained concrete is given below:

Water	: 184 kg/m3
Ordinary Portland Cement (OPC)	: 368 kg/m3
Sand	: 606 kg/m3
Coarse aggregate	: 1155 kg/m3

Assume the specific gravity of OPC, sand and coarse aggregate to be 3.14, 2.67 and 2.74, respectively. The air content is ______________ liters/ m³.

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12

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Civil Engineering (CE) 2015 [Session 1]

Two beams are connected by a linear spring as shown in the following figure. For a load $P$ as shown in the figure, the percentage of the applied load $P$ carried by the spring is ___________ .

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13

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Civil Engineering (CE) 2015 [Session 1]

For the 2D truss with the applied loads shown below, the strain energy in the member XY is ______________ kN-m. For member XY, assume AE = 30 kN, where A is cross-section area and E is the modulus of elasticity.

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14

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Civil Engineering (CE) 2015 [Session 1]

An earth embankment is to be constructed with compacted cohesionless soil. The volume of the embankment is 5000 m³ and the target dry unit weight is 16.2 kN/m³. Three nearby sites (see figure below) have been identified from where the required soil can be transported to the construction site. The void ratios (e) of different sites are shown in the figure. Assume the specific gravity of soil to be 2.7 for all three sites. If the cost of transportation per km is twice the cost of excavation per m³ of borrow pits, which site would you choose as the most economic solution? (Use unit weight of water = 10 kN/m³)

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15

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Civil Engineering (CE) 2015 [Session 1]

A sign is required to be put up asking drivers to slow down to 30 km/h before entering Zone \(Y\) (see figure). On this road, vehicles require 174 m to slow down to 30 km/h (the distance of 174 m includes the distance travelled during the perception-reaction time of drivers). The sign can be read by 6/6 vision drivers from a distance of 48 m. The sign is placed at a distance of \(x\) m from the start of Zone \(Y\) so that even a 6/9 vision driver can slow down to 30 km/h before entering the zone. The minimum value of \(x\) is ______________ m.

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16

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Civil Engineering (CE) 2015 [Session 1]

In a survey work, three independent angles \(X\), \(Y\) and \(Z\) were observed with weights \(W_X\), \(W_Y\), \(W_Z\) respectively. The weight of the sum of angles \(X\), \(Y\) and \(Z\) is given by:

A

\(1/\left(\frac{1}{W_X} + \frac{1}{W_Y} + \frac{1}{W_Z}\right)\)

B

\(\left(\frac{1}{W_X} + \frac{1}{W_Y} + \frac{1}{W_Z}\right)\)

C

\(W_X + W_Y + W_Z\)

D

\(W_X^2 + W_Y^2 + W_Z^2\)

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17

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Civil Engineering (CE) 2015 [Session 2]

Given, i = √-1, the value of the definite integral, I = ∫_{0}^{π/2} (cos x + i sin x) / (cos x - i sin x) dx is:

A

1

B

-1

C

i

D

-i

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18

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Civil Engineering (CE) 2015 [Session 2]

A column of size 450 mm × 600 mm has unsupported length of 3.0 m and is braced against side sway in both directions. According to IS 456: 2000, the minimum eccentricities (in mm) with respect to major and minor principal axes are:

A

20.0 and 20.0

B

26.0 and 21.0

C

26.0 and 20.0

D

21.0 and 15.0

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19

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Civil Engineering (CE) 2015 [Session 2]

A steel member ‘M’ has reversal of stress due to live loads, whereas another member ‘N’ has reversal of stress due to wind load. As per IS 800: 2007, the maximum slenderness ratio permitted is:

A

less for member ‘M’ than that of member ‘N’

B

more for member ‘M’ than for member ‘N’

C

same for both the members

D

not specified in the Code

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20

2015 · General Aptitude (GA) · General Aptitude · Numerical Computation and Estimation

Civil Engineering (CE) 2015 [Session 2]

A nozzle is so shaped that the average flow velocity changes linearly from 1.5 m/s at the beginning to 15 m/s at its end in a distance of 0.375 m. The magnitude of the convective acceleration (in m/s²) at the end of the nozzle is __________.

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