Allied & ICAR Exam Bank • ALLIED_1950 MCQ • 2 Marks

Section 8: General Aptitude

Analytical & Spatial Aptitude

Subtopic: Spatial Reasoning & 3D Representations

Question Statement:

In a quadrant-completion test, a figure has twofold rotational symmetry (180-degree rotation invariance). If Quadrant I contains an arrow pointing towards (1, 1), what must Quadrant III contain to satisfy this symmetry?

Options:

  • (A) An arrow pointing towards (-1, -1)
  • (B) An arrow pointing towards (1, -1)
  • (C) An arrow pointing towards (-1, 1)
  • (D) An arrow pointing along the x-axis

Answer Key:

A

Step-by-Step Solution & Explanation

A 180-degree rotation maps (x, y) to (-x, -y). The arrow pointing towards (1, 1) in Quadrant I rotates to point towards (-1, -1) in Quadrant III.
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