Mock Test

Exam: SSC CGL Subject: Quantitative Aptitude Topic: Geometry

Total Questions: 20

Q1. In triangle ABC, if AB || DE where D is on AC and E is on BC, then triangle ABC is similar to which triangle?

Triangle DEC Triangle EAC Triangle EDC Triangle CDE
Q2. In CAD (Computer-Aided Design), geometric primitives are fundamental shapes used to build complex designs. Which of the following is NOT a primitive?

Line Circle Triangle Sphere
Q3. The study of knots and how they can be manipulated without cutting is the subject of:

Fractal Geometry Differential Geometry Topology Spherical Geometry
Q4. Who is renowned for his contributions to number theory, including the concept of algebraic integers and the Dirichlet L-functions?

Peter Gustav Lejeune Dirichlet Carl Friedrich Gauss Leonhard Euler Gottfried Wilhelm Leibniz
Q5. Tessellations, which are repeating patterns of geometric shapes that fit together without gaps, are a prominent feature in:

Impressionist landscapes Abstract Expressionism Islamic art and M.C. Escher's work Fauvist paintings
Q6. The Baroque art movement, characterized by its dramatic flair and ornate details, often utilized geometric forms to create a sense of movement and grandeur. Which shape is frequently seen in Baroque ceilings and facades?

Perfect circles Elongated ovals and curves Sharp right angles Triangular compositions
Q7. The flow rate of a river is influenced by the cross-sectional:

Perimeter Area Volume Angle
Q8. The length of a rectangle is twice its breadth. If its area is 800 sq cm, find its perimeter.

100 cm 120 cm 80 cm 140 cm
Q9. The celestial equator is a projection of Earth's equator onto the celestial sphere. What geometrical shape is the celestial equator?

Line Circle Ellipse Arc
Q10. The boundary of the Mandelbrot set is:

A smooth curve A simple geometric shape Infinitely complex and self-similar A straight line
Q11. The sides of a triangle are in the ratio 3:4:5. What type of triangle is it?

Equilateral Isosceles Scalene Right-angled
Q12. A polynomial equation defining a curve in the $xy$-plane is of the form:

$ax+by=c$ $ax^2+by^2=c$ $f(x,y)=0$ $ax+by+c=d$
Q13. The altitude of a triangle is a line segment from a vertex perpendicular to the:

Adjacent side Opposite side Another vertex Median
Q14. In hyperbolic geometry, if two angles of a triangle are 60° and 70°, what is the maximum possible value of the third angle?

50° 60° The third angle can be arbitrarily close to 180° but not equal to it. The third angle can be arbitrarily close to 0° but not equal to it.
Q15. Which molecular geometry is formed by six electron domains with four bonding pairs and two lone pairs?

Square pyramidal Square planar Octahedral T-shaped
Q16. What is a regular function on an affine variety V?

A polynomial function defined on the ambient space restricted to V. A function whose value at each point is an element of the base field. A function that can be expressed as a ratio of two polynomials. A function that is continuous with respect to the Zariski topology.
Q17. The area of a triangle is 150 sq cm. If its base is 20 cm, find the corresponding altitude.

10 cm 15 cm 7.5 cm 20 cm
Q18. The transformation T(x, y) = (y, x) is applied to the point (3, 4). The resulting point is then rotated 90 degrees clockwise about the origin. What are the coordinates of the final image?

(4, -3) (-3, 4) (3, -4) (-4, -3)
Q19. In a rhombus, what is true about the diagonals?

They are equal in length They bisect each other at a right angle They are parallel They bisect the angles
Q20. The indifference curves for a Giffen good are characterized by being:

Convex to the origin. Concave to the origin. L-shaped. Straight lines.

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