Question Bank • QB_GA_ADV_137 MCQ • 1 Mark

Section 8: General Aptitude

Analytical & Spatial Aptitude

Subtopic: Spatial Reasoning & 3D Representations

Question Statement:

A right circular cone of base radius $R$ and vertical height $H$ rests with its flat circular base on the horizontal plane. Which of the following correctly describes its top view (plan) and front view (elevation) in first-angle orthographic projection?

Options:

  • (A) Top view is a circle with a central point; Front view is an isosceles triangle.
  • (B) Top view is an isosceles triangle; Front view is a circle.
  • (C) Top view is an ellipse; Front view is a rectangle.
  • (D) Top view is a circle; Front view is a right-angled triangle.

Answer Key:

A

Step-by-Step Solution & Explanation

**Method 1: Orthographic Projection Principles** - Looking down vertically along the rotational axis of symmetry (top view / plan), the circular base is visible as a circle of radius $R$, with the apex appearing as a dot at the exact geometric center. - Looking horizontally from the front (front elevation), the projected outline is an isosceles triangle of base $2R$ and height $H$. Option **A** is correct.
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