Logical deduction

Treat every premise as true and choose the conclusion that holds in every case the premises allow.

Example

Example

Example

Unscored example

Turn each premise on to see what it rules out.

ABC

An empty region does not imply that anything exists.

An example to explore. No score or practice round is recorded.

6 questions · Explanation after each answer

6 questions · No time limit

Try six questions.

Treat every statement as true. Which conclusion must follow?

Help

The names are labels for imaginary groups. Use only the statements shown. “Some” means at least one. “All” and “No” do not prove that a group contains anything. Choose what must hold in every possible case, not what might be true.

Select one of four conclusions, then choose Check. You can change your selection before checking. Read the explanation and continue when ready. With a keyboard, use Tab to reach the answers and the arrow keys to change your choice.

Solving time excludes setup, explanations and time spent in another tab. The optional challenge gives you two minutes for all six questions. Unanswered questions count as incorrect when time runs out. Timed and untimed results stay separate.

A new round needs an internet connection. Once all six questions load, they work on your device. Completed rounds and timed-out challenges are saved when browser storage is available. Rounds ended early are not saved, and individual answers are not uploaded.

This is a practice activity, not a standardized or diagnostic assessment. Results describe only this activity.

Keyboard: press an answer's letter or number to choose it, Enter to check, and Enter again to continue.

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Treat every premise as true and choose the conclusion that holds in every case the premises allow.

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