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Focused practice

Logical reasoning

Work through patterns, deductions, directions, and ordering.

Make time for a small step

Answer at your own pace, skip a question when needed, and review every explanation at the end. Answers save when you finish the session.

This topic has 6 questions. A difficulty filter may shorten your session.

A useful way to practise logical reasoning

Separate the facts you are given from assumptions that merely seem likely. Number patterns, direction problems, ordering, and logical deductions each benefit from making the relationships visible on paper.

  1. For a sequence, compare consecutive differences and ratios before trying a more complex rule.
  2. For deductions, accept the stated premises for the exercise and choose only a conclusion that must follow.
  3. Draw a small table, line, or direction sketch when several relationships must be tracked together.

A worked example

If every red card is numbered and a card is red, that card must be numbered. If a card is numbered, however, you cannot conclude that it is red: the premise did not say that only red cards have numbers.