Geometry Mock Test | Quantitative Aptitude | RRB NTPC

Q1. The sum of all angles around a point is:

90 degrees 180 degrees 270 degrees 360 degrees

Q2. In computer graphics, what is the 'Z-buffer' primarily used for?

Color interpolation between vertices Hidden surface removal Texture mapping Anti-aliasing

Q3. What is the area of a circle with radius 'r'?

2πr πr^2 πd 2πd

Q4. In geometric art, parallel lines are lines that:

Cross each other Never meet Form a right angle Are curved

Q5. The formation of lipid bilayers, the fundamental structure of cell membranes, is driven by the hydrophobic effect, leading to a geometrically stable arrangement that minimizes exposure of hydrophobic tails to water. This can be conceptually linked to:

The tessellation of a sphere with hexagonal patterns The packing of spheres to maximize density The minimization of interfacial energy, resembling principles in soap film formation The geometry of crystallographic structures

Q6. What is the shape of a surface with zero Gaussian curvature everywhere?

A sphere A plane A cylinder A torus

Q7. What is the total surface area of a cube with side length 2 cm?

12 sq cm 18 sq cm 24 sq cm 36 sq cm

Q8. The sum of the interior angles of a polygon with 'n' sides is given by the formula (n-2) * 180 degrees. If the sum of the interior angles of a polygon is 1080 degrees, how many sides does it have?

6 7 8 9

Q9. Which geometric primitive has zero dimensions?

Line Plane Point Curve

Q10. The ratio of the exterior angle to the interior angle of a regular polygon is 1:5. How many sides does the polygon have?

6 8 10 12

Q11. What geometric shape is a pyramid?

Cylinder Sphere Cone Pyramid

Q12. The Art Deco movement incorporated geometric elements with influences from:

Ancient Egyptian art and Cubism Impressionism and Romanticism Gothic architecture and Renaissance painting Surrealism and Abstract Expressionism

Q13. How many vertices does a cylinder have?

0 1 2 3

Q14. A closed geometric figure with all points equidistant from a central point is a:

Square Triangle Circle Rectangle

Q15. To construct a sector of a circle with a given angle and radius, what is the key information needed?

Length of the arc and radius Angle at the center and radius Chord length and radius Perimeter and radius

Q16. What is the length of the hypotenuse of a right-angled triangle with legs of length 3 cm and 4 cm?

5 cm 7 cm 12 cm 25 cm

Q17. In crystallography, atoms are arranged in:

Random patterns Linear chains Crystal lattices Amorphous structures

Q18. Descartes' fusion of algebra and geometry, forming analytic geometry, allowed for the representation of geometric shapes using algebraic equations. Which equation represents a circle with center (h, k) and radius r?

(x-h)^2 + (y-k)^2 = r^2 y = mx + c ax + by + c = 0 x^2 + y^2 = r^2

Q19. The concept of 'rectifiability' in Geometric Measure Theory relates to:

The smoothness of a curve The curvature of a surface Whether a set can be approximated by a smooth manifold The symmetry of a geometric object

Q20. A needle of length L is dropped onto a floor ruled with parallel lines, spaced D units apart, where L < D. What is the probability that the needle crosses a line?

L/D 2L/D piL/(2D) 2L/(piD)

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