Geometry - General Aptitude - General Aptitude (GA) Previous Year Questions

1

2015 · General Aptitude (GA) · General Aptitude · Geometry

Civil Engineering (CE) 2015 [Session 1]

Choose the most appropriate equation for the function drawn as a thick line, in the plot below.

A

x = y - |y|

B

x = - (y - |y|)

C

x = y + |y|

D

x = - (y + |y|)

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2

2015 · General Aptitude (GA) · General Aptitude · Geometry

Civil Engineering (CE) 2015 [Session 1]

Which of the following statements is FALSE?

A

Plumb line is along the direction of gravity

B

Mean Sea Level (MSL) is used as a reference surface for establishing the horizontal control

C

Mean Sea Level (MSL) is a simplification of the Geoid

D

Geoid is an equi-potential surface of gravity

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3

2015 · General Aptitude (GA) · General Aptitude · Geometry

Civil Engineering (CE) 2015 [Session 1]

In a region with magnetic declination of 2°E, the magnetic Fore bearing (FB) of a line \(AB\) was measured as N79°50'E. There was local attraction at \(A\). To determine the correct magnetic bearing of the line, a point \(O\) was selected at which there was no local attraction. The magnetic FB of line \(AO\) and \(OA\) were observed to be S52°40'E and N50°20'W, respectively. What is the true FB of line \(AB\)?

A

N81°50'E

B

N82°10'E

C

N84°10'E

D

N77°50'E

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4

2015 · General Aptitude (GA) · General Aptitude · Geometry

Civil Engineering (CE) 2015 [Session 2]

For the plane stress situation shown in the figure, the maximum shear stress and the plane on which it acts are:

A

-50 MPa, on a plane 45° clockwise w.r.t. x-axis

B

-50 MPa, on a plane 45° anti-clockwise w.r.t. x-axis

C

50 MPa, at all orientations

D

Zero, at all orientations

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5

2015 · General Aptitude (GA) · General Aptitude · Geometry

Civil Engineering (CE) 2015 [Session 2]

In friction circle method of slope stability analysis, if \( r \) defines the radius of the slip circle, the radius of friction circle is:

A

\(r \sin\phi \)

B

\(r \)

C

\(r \cos\phi \)

D

\(r \tan\phi \)

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6

2015 · General Aptitude (GA) · General Aptitude · Geometry

Civil Engineering (CE) 2015 [Session 2]

Surcharge loading required to be placed on the horizontal backfill of a smooth retaining vertical wall so as to completely eliminate tensile crack is:

A

\(2c \)

B

\(2c k_a \)

C

\(2c \sqrt{k_a} \)

D

\(2c / \sqrt{k_a} \)

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7

2026 · General Aptitude (GA) · General Aptitude · Geometry

Civil Engineering (CE) 2026

Consider a string P of length l that is laid out as a straight-line segment. Another string K is laid out as a semicircular arc with string P as its diameter, as represented in Figure (i). When both the strings are shortened by a length x they can be re-arranged such that the shortened string K forms a full circle with the shortened string P as its diameter, as represented in Figure (ii). The value of x/l is ______

A

\(\pi\)

B

\(\frac{\pi-1}{2\pi}\)

C

\(\frac{\pi}{2(\pi-1)}\)

D

\(\frac{\pi}{\pi-1}\)

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