PAF Aeronautical Engineering Initial Test study materials
PAF Aeronautical Engineering Initial Test study resources

PAF Aeronautical Engineering Initial Test: Non-Verbal Intelligence and Reasoning

PAF Aeronautical Engineering Initial Test · Work through your exam, one topic at a time.

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Non-Verbal Intelligence and Reasoning

What is tested

Non-verbal reasoning asks you to infer a rule from shapes alone. The main types:

  • Series - a figure changes step by step; track rotation (usually 45° or 90°, clockwise or anticlockwise), number of sides, added or removed inner elements, and shading alternation.
  • Analogy - the same transformation must be applied to a second figure.
  • Odd one out - check side counts, symmetry, enclosed regions, and whether the figure can be drawn without lifting the pen.
  • Mirror and water images - a mirror reverses left and right but not top and bottom; a water image reverses top and bottom.
  • Paper folding and punching - unfold in reverse order, mirroring holes across each fold line.
  • Embedded figures and figure counting - count every size, including composites formed by overlapping lines.
  • Matrix completion - a rule holds across each row and each column.

Traps

  • Changing one property while ignoring another, such as rotation and shading shifting together.
  • Counting only the obvious triangles or squares and missing those built from two or more parts.
  • Confusing the mirror image with the water image, or reflecting about a diagonal axis.
  • Assuming the number of elements is constant when the rule adds one at each step.

Rule of thumb

Describe each figure in about four words - for example "square, two dots, clockwise, dark" - and compare descriptions along the series. Whatever changes is the rule; whatever stays fixed is the invariant. Confirm your answer against at least two consecutive steps before committing.

Worked example: a pointer turns 90° clockwise each step and alternates filled/hollow; after four steps it points in its original direction but with the opposite shading.