Geometry Mock Test | Quantitative Aptitude | SSC CGL

Q1. In triangle XYZ, angle Y = 90 degrees. If XY = 7 and YZ = 24, what is the length of XZ?

25 26 23 27

Q2. What is a line segment?

A part of a line with one endpoint A part of a line with two endpoints A line extending infinitely in both directions A curved line

Q3. A rectangle has an area of 72 sq cm and a length of 9 cm. What is its breadth?

6 cm 8 cm 9 cm 18 cm

Q4. What is the sum of the angles around a point?

180 degrees 270 degrees 360 degrees 90 degrees

Q5. Which geometrical shape is often used to symbolize unity and completeness in literature?

A triangle A rectangle A circle A hexagon

Q6. The area of a triangle is equal to the area of a square. The side of the square is 12 cm. If the base of the triangle is 18 cm, then its height is:

20 cm 16 cm 24 cm 30 cm

Q7. What is the volume of a hemisphere with radius 3 cm (use π = 22/7)?

18π cm³ 36π cm³ 56.5 cm³ 113.1 cm³

Q8. In algorithmic composition, mathematical sequences are used to generate musical parameters. If a composer uses the sine wave as a fundamental building block and modulates its frequency according to a sinusoidal function, the resulting sound wave would exhibit complex spectral characteristics. What geometric shape would the instantaneous frequency of this modulated signal trace over time if plotted in a phase space?

A straight line A circle An ellipse or spiral A parabola

Q9. This Polish mathematician is known for his foundational work in set theory and topology, including the development of the Zermelo-Fraenkel set theory.

Stanisław Ulam Wacław Sierpiński Ernst Zermelo Kurt Gödel

Q10. A single point can be considered:

Connected Disconnected Compact Both connected and compact

Q11. The y-coordinate of a point is also known as its:

Abscissa Ordinate Quadrant Origin

Q12. A simple closed curve in the plane divides the plane into:

One connected region Two connected regions (interior and exterior) Three connected regions An infinite number of connected regions

Q13. What is a normal vector associated with a surface or vertex?

Its color Its position Its direction perpendicular to the surface Its texture coordinates

Q14. What is the total surface area of a hemisphere with radius 4 cm?

48π cm² 64π cm² 96π cm² 80π cm²

Q15. The geometric precision in the design of Roman aqueducts is a testament to their:

Artistic freedom Engineering and mathematical knowledge Use of organic materials Simple construction methods

Q16. What is the curvature of a circular arc of radius R?

R 1/R 1/R^2 0

Q17. The 'sweep line' technique is often used to solve problems involving:

Numerical Integration Geometric Intersection String Matching Sorting

Q18. Which of the following is a characteristic of the projective plane that distinguishes it from the Euclidean plane?

Presence of parallel lines Absence of points at infinity Existence of points at infinity Finite area

Q19. The labyrinthine descriptions in Borges' 'The Garden of Forking Paths' are often interpreted as manifestations of theoretical physics concepts. If we consider the branching narratives as pathways, what advanced geometric concept most closely aligns with the idea of multiple, concurrent timelines that diverge and potentially reconverge?

Taxicab Geometry and Manhattan Distance Differential Geometry and Curvature of Spacetime Topology and Knots Theory Affine Transformations and Shear Mapping

Q20. What is the cross product of two vectors used to determine?

The sum of their magnitudes A vector perpendicular to both, indicating orientation The difference of their magnitudes The scalar projection of one onto the other

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