Allied & ICAR Exam Bank • ALLIED_2442 MCQ • 2 Marks

Section 8: General Aptitude

Analytical & Spatial Aptitude

Subtopic: Spatial Reasoning & 3D Representations

Question Statement:

An agricultural tractor navigation sensor at (0, 2, 0) undergoes two successive operations: first a 90-degree CCW rotation about the z-axis, followed by a 90-degree CCW rotation about the x-axis. What is the final coordinate?

Options:

  • (A) (-2, 0, 0)
  • (B) (0, 0, -2)
  • (C) (0, 0, 2)
  • (D) (0, -2, 0)

Answer Key:

A

Step-by-Step Solution & Explanation

Step 1: 90 deg CCW about z maps (x, y, z) to (-y, x, z). For (0, 2, 0), this gives (-2, 0, 0). Step 2: 90 deg CCW about x maps (x, y, z) to (x, -z, y). For (-2, 0, 0), x = -2, y = 0, z = 0, so coordinates remain (-2, 0, 0).
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