Allied & ICAR Exam Bank • ALLIED_1950MCQ • 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.