Erudex journal

Logical reasoning: Worked Practice and Mistake Review

5 min read24 October 2026

Number sequences, deduction and pattern rules that test structured problem solving.

Use the examples below to examine the reasoning process before practising under a timer. Erudex offers three fixed papers per section, each with ten questions and a twelve-minute limit. Sign in to begin a paper; explanations appear after submission.

Key points

  • •Explain the method before inspecting the key.
  • •Review guessed answers and missed questions.
  • •Interpret repeated-paper improvements cautiously.

Worked example 1

All engineers are employees. All employees are trained. Which statement must be true?

Answer: All engineers are trained.. If A ⊂ B and B ⊂ C, then A ⊂ C.

Before checking the answer, write your reasoning. After checking it, explain why a different choice would fail; this distinguishes a reliable method from a lucky selection.

  • •No engineers are trained.
  • •Some employees are not trained.
  • •All trained are engineers.
  • •All engineers are trained.

Worked example 2

What number comes next? 13, 22, 31, 40, 49, ?

Answer: 58. Add 9 each time.

Before checking the answer, write your reasoning. After checking it, explain why a different choice would fail; this distinguishes a reliable method from a lucky selection.

  • •57
  • •67
  • •60
  • •58

Worked example 3

What number comes next? 3, 5, 9, 15, 23, ?

Answer: 33. The gap grows by 2 each time (2, 4, 6, 8, 10).

Before checking the answer, write your reasoning. After checking it, explain why a different choice would fail; this distinguishes a reliable method from a lucky selection.

  • •35
  • •31
  • •33

Move from worked examples to timed practice

Complete a paper without looking at explanations, then review incorrect, guessed and unanswered questions separately. Record accuracy and completion time. An improvement on a repeated fixed paper may reflect memory, so keep that limitation in your review.

For candidate screening, use scores with job-relevant work samples and structured interviews. These practice papers have not been established as validated predictors of job performance or clinical ability.

Frequently asked questions

Can I use these practice scores as an employment decision?
Do not use a practice score as the sole hiring decision. Consider the role, accessibility needs and other relevant evidence.

Put your reasoning into practice

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