Geometry Mock Test | Quantitative Aptitude | RRB NTPC

Q1. The Engel's Law states that as income rises, the proportion of income spent on food:

Increases Decreases Remains constant First increases then decreases

Q2. What is the probability that a randomly chosen number from the set {1, 2, 3, ..., 20} is a multiple of 3 or 5?

8/20 10/20 12/20 14/20

Q3. Which of the following is a defining characteristic of fractal geometry?

Smooth and continuous curves Limited detail at all scales Self-similarity across different scales Euclidean dimensions exclusively

Q4. How many lines of symmetry does a rectangle that is not a square have?

0 1 2 4

Q5. What geometric shape represents a constant rate of change between two variables?

Curve Circle Straight line Parabola

Q6. What is the approximate shape of the Sun?

Cube Disc Sphere Oval

Q7. The Euler characteristic of a sphere is:

0 1 2 4

Q8. A cylindrical can has a radius of 5 cm and a height of 10 cm. What is its lateral surface area?

50 * pi sq cm 100 * pi sq cm 150 * pi sq cm 200 * pi sq cm

Q9. What is the maximum number of vertices in a planar graph with 10 edges, assuming V >= 3?

6 7 8 5

Q10. The arrangement of cells in a honeycomb-like structure within plant tissues, providing strength and organization, is an example of:

Random distribution Hexagonal packing Linear alignment Concentric layering

Q11. What geometric shape is a comet's tail usually depicted as?

Circle Cone Line Spiral

Q12. What is a 'distribution' in the context of Geometric Control Theory?

A single vector field A collection of vector fields defining a subspace at each point The system's output trajectory A type of mathematical function

Q13. If a projectivity maps the points (1,0,0), (0,1,0), (0,0,1) to (1,1,0), (1,0,1), (0,1,1) respectively, what is the image of the point (1,1,1)?

(1,1,1) (2,1,1) (1,2,1) (1,1,2)

Q14. Which of the following represents the angular momentum of a rigid body about a fixed point?

L = Iω L = mr × v L = Iα L = KE × ω

Q15. In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. If the sides of a right-angled triangle are 5 cm and 12 cm, what is the length of the hypotenuse?

13 cm 17 cm 25 cm 144 cm

Q16. Consider a GNN layer where node embeddings are updated by aggregating features from their neighbors. If the aggregation function is a weighted sum and the weights are learned based on the similarity between neighboring node embeddings, this is an example of:

Graph Attention Network (GAT) Graph Isomorphism Network (GIN) Spectral Graph Convolution Message Passing Neural Network (MPNN)

Q17. In a triangle, an exterior angle is always:

less than the adjacent interior angle equal to the adjacent interior angle greater than the adjacent interior angle equal to the sum of the two opposite interior angles

Q18. Which famous mathematician is associated with the construction of the lighthouse of Alexandria and the principle of buoyancy?

Pythagoras Euclid Archimedes Thales

Q19. What is the probability of hitting a target of radius 'r' if the target is within a square of side '2r'?

pi*r^2 / (2r)^2 (2r)^2 / pi*r^2 pi*r / (2r) r / (2r)

Q20. A point is selected at random from the interior of a square with vertices (0,0), (2,0), (2,2), (0,2). What is the probability that the point (x,y) satisfies x+y < 1?

1/8 1/4 1/2 3/4

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