Mock Test

Exam: RRB NTPC Subject: Quantitative Aptitude Topic: Geometry

Total Questions: 20

Q1. If the diagonals of a parallelogram are equal, it must be a:

Rhombus Rectangle Square Trapezium
Q2. The intersection of two lines at a point forms an:

Area Angle Edge Vertex
Q3. What is the chromatic number of the Petersen graph?

2 3 4 5
Q4. The theorem that states that the line segment joining the midpoints of two sides of a triangle is parallel to the third side and is half the length of the third side is called:

Basic Proportionality Theorem Converse of Basic Proportionality Theorem Midpoint Theorem Angle Bisector Theorem
Q5. In triangle ABC, if AB = 8 cm and BC = 10 cm, which of the following cannot be the length of AC?

5 cm 9 cm 17 cm 19 cm
Q6. The ratio of the total surface area of a cube to the surface area of one of its faces is:

6:1 12:1 4:1 2:1
Q7. If a triangle has sides 7, 7, and x, for what value of x is it a right-angled triangle?

7 7*sqrt(2) 14 Cannot be determined
Q8. What is a vertex in geometry?

A side of a shape A corner where two or more lines or edges meet A flat surface A point on a line
Q9. If a triangle has angles measuring 2x, 3x, and 4x degrees, what is the nature of the triangle?

Acute angled Obtuse angled Right angled Cannot be determined
Q10. What is the fractal dimension of a 'space-filling curve' like the Hilbert curve?

1 1.5 2 Undefined
Q11. A spider is at the bottom of a 30-foot well. Each day it climbs 3 feet, but each night it slips back 2 feet. How many days will it take for the spider to reach the top of the well?

27 days 28 days 29 days 30 days
Q12. A closed figure made of straight line segments is called a:

Curve Circle Polygon Line
Q13. In the construction of a triangle ABC given two sides and the included angle (SAS), why must the angle be between the two sides?

To ensure the triangle is isosceles. To ensure the triangle is right-angled. To uniquely determine the triangle. To ensure the angle sum property holds.
Q14. A group is called 'hyperbolic' if its Cayley graph satisfies:

The triangle inequality The Rips condition The ultra-metric inequality The geodesic property
Q15. If the radius of a circle is halved, what happens to its area?

It remains the same It is halved It becomes one-fourth It becomes double
Q16. Which transformation changes the position but not the orientation of a figure?

Reflection Rotation Translation Dilation
Q17. A dart is thrown at a circular dartboard. What is the probability that it lands in a specific sector of the circle?

Area of sector / Circumference of circle Area of sector / Area of circle Arc length of sector / Circumference of circle Angle of sector / 360 degrees
Q18. A shape has reflectional symmetry if it can be folded along a line so that the two halves match exactly. How many lines of symmetry does a kite have?

0 1 2 3
Q19. In a planar graph embedding, if all faces are of length at least 3, what is the maximum number of edges?

3V - 6 2V - 4 V - 1 3V/2
Q20. The helical shape is essential in the design of which mechanical component?

Gears Bearings Screws and Springs Shafts

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