UCAT Decision Making question types and methods

Name the question type, then use its first move. Some items have one answer; others have five Yes/No statements.

By Shrey, Cambridge studentUpdated
Decision Making0:00 / 1:03

All shortlisted applicants submitted a portfolio. No applicant who submitted late was shortlisted. At least one applicant who submitted a portfolio submitted late. For each statement, answer Yes only if it necessarily follows; otherwise answer No. Treat only the stated facts as certain.

  1. At least one portfolio applicant was not shortlisted.
  2. Everyone who submitted on time was shortlisted.
  3. No shortlisted applicant submitted late.
  4. At least one shortlisted applicant exists.
  5. Every portfolio applicant was shortlisted.

The worked answer

All shortlisted applicants submitted a portfolio. No applicant who submitted late was shortlisted. At least one applicant who submitted a portfolio submitted late. For each statement, answer Yes only if it necessarily follows; otherwise answer No. Treat only the stated facts as certain.

Answer: At least one portfolio applicant was not shortlisted: Yes. Everyone who submitted on time was shortlisted: No. No shortlisted applicant submitted late: Yes. At least one shortlisted applicant exists: No. Every portfolio applicant was shortlisted: No

  1. The shortlist is a subset of portfolio applicants and excludes late applicants.
  2. An existing late portfolio applicant is therefore outside the shortlist; no shortlist member is guaranteed.

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Six types

TypeFirst moveTrap
SyllogismsTranslate each condition without reversing itAll A are B does not mean all B are A
Logic puzzlesWrite the fixed constraints firstPossible is not necessary
Interpreting informationCheck each statement against the dataOutside knowledge
ArgumentsMatch the reason to the exact questionTrue but irrelevant
Venn diagramsSeparate overlaps from totalsCounting the overlap twice
ProbabilityDefine the event and the denominatorAssuming independence

Check each statement on its own

Worked example A training group

Exactly 30 trainees attend at least one of two workshops: coding or statistics. Twenty attend coding and 18 attend statistics. Yes or No: (1) Eight attend both. (2) Twelve attend coding only. (3) Ten attend statistics only. (4) Every statistics attendee attends coding. (5) More attend coding only than statistics only.

Why this works: Yes, Yes, Yes, No, Yes. Overlap = 20 + 18 − 30 = 8. Coding only = 12, statistics only = 10. Statement 4 fails: ten attend statistics without coding.

Why the tempting route fails: Reading 20 + 18 = 38 as people counts eight of them twice.

Syllogisms in depth: UCAT syllogisms

What some, most and either mean: UCAT Decision Making definitions

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