Mock Test

Exam: RRB NTPC Subject: Quantitative Aptitude Topic: Geometry

Total Questions: 20

Q1. If each exterior angle of a regular polygon is 60 degrees, how many sides does it have?

5 6 7 8
Q2. The moment of inertia of a solid sphere of mass M and radius R about an axis passing through its center is:

MR^2 (2/5)MR^2 (2/3)MR^2 (3/5)MR^2
Q3. Which natural phenomenon is often cited as exhibiting fractal-like properties?

A straight, unbent steel rod A perfectly smooth glass surface The branching patterns of trees or coastlines A uniform grid of squares
Q4. In geometric graph theory, what does 'embedding' refer to?

Adding new vertices Assigning weights to edges Drawing a graph in a geometric space Removing edges
Q5. What is the role of the metric tensor in describing geometric structures in physics?

It defines the angles between vectors. It determines the lengths of vectors and the angles between them. It specifies the dimensionality of the space. It describes the rate of change of physical quantities.
Q6. The arrangement of cells in a tissue like epithelial tissue is often described as:

Random Spherical Polygonal (closely packed) Linear
Q7. The ancient Chinese mathematical text 'Jiuzhang Suanshu' (The Nine Chapters on the Mathematical Art) contains solutions to various geometric problems, including:

The theory of relativity Calculus and differential equations Calculating areas and volumes of geometric figures, and the Pythagorean theorem Abstract algebraic structures
Q8. What is the primary purpose of a rendering pipeline in computer graphics?

Defining geometric shapes Transforming 3D models into 2D images Calculating surface normals Compressing image data
Q9. A rectangular sheet of paper, 44 cm by 18 cm, is rolled along its length to form a cylinder. What is the volume of the cylinder?

5890 cubic cm 6420 cubic cm 7744 cubic cm 8870 cubic cm
Q10. What is a three-sided polygon with one 90-degree angle called?

Acute triangle Obtuse triangle Right triangle Equilateral triangle
Q11. A point is chosen uniformly at random from the region bounded by y = x^2 and y = sqrt(x). What is the probability that the x-coordinate of the point is greater than 1/2?

1/2 1/4 3/4 2/3
Q12. A ramp designed to allow wheelchair access often follows the shape of which geometrical object?

Cube Pyramid Prism A slanted rectangle (or plane)
Q13. A curve in 3D space can be parameterized by:

A single variable Two variables Three variables Four variables
Q14. The idea of 'geometric invariance' is central to many branches of geometry. Which branch of geometry primarily studies properties that remain unchanged under affine transformations?

Projective geometry Euclidean geometry Affine geometry Topology
Q15. In Geometric Algebra, the expression Ia = ∑ᵢ aᵢ eᵢ represents:

A scalar A vector A bivector A general multivector
Q16. Gaspard Monge is considered the founder of what specific branch of geometry focused on representing and manipulating three-dimensional objects on a two-dimensional plane?

Projective Geometry Descriptive Geometry Analytic Geometry Differential Geometry
Q17. In a right-angled triangle, the hypotenuse is always the ______ side.

shortest longest medium length equal to the sum of other two
Q18. What is a 'word problem' in the context of group theory?

Determining if two elements are equal Finding the order of a group Classifying group structures Proving group isomorphisms
Q19. The structure of a plant cell wall is primarily composed of which geometric arrangement of molecules?

Randomly arranged Lattice-like Linear chains Spherical clusters
Q20. What geometrical property of a triangle is used in triangulation for surveying and navigation?

Area Perimeter Angles and Sides Bisectors

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