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IB Security Assistant: Logical Reasoning

IB Security Assistant · Work through your exam, one topic at a time.

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Logical Reasoning

Logical Reasoning checks whether you can hold a set of conditions in mind and derive only what actually follows. The recurring types are number and alphabet series, coding-decoding, blood relations, direction sense, syllogism, order and ranking, seating arrangement, inequalities, analogy and odd-one-out. Non-verbal figure series also appear, so practise spotting rotation, element addition and mirroring.

Method over memory

  • Series: test differences first, then ratios, then alternating patterns, then squares and cubes.
  • Coding: write the alphabet with positions 1-26 and look for fixed or shifting offsets.
  • Blood relations: draw a family tree; mark gender only where the question states it.
  • Syllogism: draw minimal Venn diagrams; a conclusion is valid only if it holds in every possible diagram.
  • Directions: fix a compass at the start and remember that right and left are relative to the direction currently faced.

Worked example

A person walks 5 km north, turns right and walks 3 km, then turns right again and walks 5 km. How far is he from the start, and in which direction?

Set the start at (0,0). Walking north takes him to (0,5). Facing north, a right turn means east, so he reaches (3,5). Facing east, a right turn means south, so he ends at (3,0). The north and south legs cancel, leaving a displacement of 3 km due east. Answer: 3 km east.

Traps that cost marks

  • Assuming a right turn always means east, ignoring the current facing direction.
  • In syllogism, accepting a 'some' conclusion that is true in one diagram but not all.
  • Assuming the gender of a person in a blood-relation puzzle from the name alone.
  • Forgetting the reverse alphabet positions (A = 26, Z = 1) in coding questions.
  • In seating arrangement, mixing left and right when some people face north and others south.