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

1

2012 · General Aptitude (GA) · General Aptitude · Geometry

Agricultural Engineering (AG) 2012

The difference between Fore Bearing and Back Bearing of a traverse line is

A

exactly 90°

B

less than 180°

C

exactly 180°

D

greater than 180°

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2

2012 · General Aptitude (GA) · General Aptitude · Geometry

Agricultural Engineering (AG) 2012

The tangent line to \(y = f(x)\) at the point \((x_0, y_0)\), assuming \(f'(x) \neq 0\), intersects the x axis at

A

\((x_0 - [y_0 / f'(x_0)], 0)\)

B

\((x_0 + [y_0 / f'(x_0)], 0)\)

C

\((x_0 - [f'(x_0) / y_0], 0)\)

D

\((x_0 + [f'(x_0) / y_0], 0)\)

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3

2012 · General Aptitude (GA) · General Aptitude · Geometry

Agricultural Engineering (AG) 2012

During field operation, the shank of a tractor drawn rigid tyne sweep type cultivator is mainly subjected to

A

bending

B

shear

C

torsion

D

bending and torsion

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4

2012 · General Aptitude (GA) · General Aptitude · Geometry

Agricultural Engineering (AG) 2012

Two small parallel plane square surfaces, each measuring 4 mm × 4 mm are placed 0.5 m apart (centre to centre) with 30° angle between the radial distance and both the surface normals. The view factor between the two surfaces is

A

\(1.53 \times 10^{-5}\)

B

\(1.76 \times 10^{-5}\)

C

\(3.82 \times 10^{-5}\)

D

\(4.41 \times 10^{-5}\)

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5

2012 · General Aptitude (GA) · General Aptitude · Geometry

Agricultural Engineering (AG) 2012

It is proposed to construct bench terraces on a 10% hill slope. If the batter slope is ½ H : 1 V, the percentage area that will be lost for cultivation due to bench terracing is

A

4.68

B

5.47

C

6.25

D

6.78

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6

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

Agricultural Engineering (AG) 2015

Two very large parallel walls (gray bodies) facing each other have emissivities of 0.5 and 0.7. The view factor between these two walls is ______.

Check answer

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7

2018 · General Aptitude (GA) · General Aptitude · Geometry

Agricultural Engineering (AG) 2018

For \(0 \leq x \leq 2\pi\), \(\sin x\) and \(\cos x\) are both decreasing functions in the interval _______.

A

\(\left(0, \frac{\pi}{2}\right)\)

B

\(\left(\frac{\pi}{2}, \pi\right)\)

C

\(\left(\pi, \frac{3\pi}{2}\right)\)

D

\(\left(\frac{3\pi}{2}, 2\pi\right)\)

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8

2018 · General Aptitude (GA) · General Aptitude · Geometry

Agricultural Engineering (AG) 2018

A set of 4 parallel lines intersect with another set of 5 parallel lines. How many parallelograms are formed?

A

20

B

48

C

60

D

72

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9

2020 · General Aptitude (GA) · General Aptitude · Geometry

Agricultural Engineering (AG) 2020

It is quarter past three in your watch. The angle between the hour hand and the minute hand is ____.

A

0°

B

7.5°

C

15°

D

22.5°

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10

2021 · General Aptitude (GA) · General Aptitude · Geometry

Agricultural Engineering (AG) 2021

In the figure shown above, each inside square is formed by joining the midpoints of the sides of the next larger square. The area of the smallest square (shaded) as shown, in cm² is:

A

12.50

B

6.25

C

3.125

D

1.5625

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11

2021 · General Aptitude (GA) · General Aptitude · Geometry

Agricultural Engineering (AG) 2021

Let the vector \(\vec{v}=v_1\hat{i}+v_2\hat{j}+v_3\hat{k}\) be a differentiable vector function of Cartesian coordinates \(x, y\) and \(z\). The curl of the vector \(\vec{v}\) is given by \(\text{curl } \vec{v} =\)

A

\(\left( \frac{\partial v_3}{\partial z} - \frac{\partial v_2}{\partial y} \right)\hat{i} + \left( \frac{\partial v_1}{\partial x} - \frac{\partial v_3}{\partial z} \right)\hat{j} + \left( \frac{\partial v_2}{\partial y} - \frac{\partial v_1}{\partial x} \right)\hat{k}\)

B

\(\left( \frac{\partial v_3}{\partial z} - \frac{\partial v_2}{\partial y} \right)\hat{i} + \left( \frac{\partial v_1}{\partial x} - \frac{\partial v_3}{\partial z} \right)\hat{j} + \left( \frac{\partial v_2}{\partial y} - \frac{\partial v_1}{\partial x} \right)\hat{k}\)

C

\(\left( \frac{\partial v_3}{\partial y} - \frac{\partial v_2}{\partial z} \right)\hat{i} + \left( \frac{\partial v_1}{\partial z} - \frac{\partial v_3}{\partial x} \right)\hat{j} + \left( \frac{\partial v_2}{\partial x} - \frac{\partial v_1}{\partial y} \right)\hat{k}\)

D

\(\left( \frac{\partial v_2}{\partial y} - \frac{\partial v_3}{\partial z} \right)\hat{i} + \left( \frac{\partial v_3}{\partial z} - \frac{\partial v_1}{\partial x} \right)\hat{j} + \left( \frac{\partial v_1}{\partial x} - \frac{\partial v_2}{\partial y} \right)\hat{k}\)

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