Inference
⏱ ~3-min readAceMark GuideWhat this topic is really about
The premises state that either the witness lied or the report is wrong, and then affirm that the report is correct; by disjunctive syllogism the remaining alternative— the witness lied—must be true. Choice A is incorrect because it asserts the witness told the truth, which directly conflicts with the established truth of the report and violates the logical inference.
The statement establishes membership as a necessary condition for attendance, meaning anyone attending must be a member. Since Sara is attending, she must be a member, making Option A the correct deduction. Option B is incorrect because it is too weak; we can conclude with certainty that Sara is a member, not just that she might be.
See the mechanism
Since studying guarantees passing, but passing does not guarantee studying, we cannot certainly determine whether Maya studied. A diagram for this topic isn't available yet — the worked example below walks the same reasoning step by step.
An exam-style question, fully explained
Which inference is best supported by: "Every student who studied passed. Maya passed."?
- Identify what the question tests: Which inference is best supported by: "Every student who studied passed..
- Since studying guarantees passing, but passing does not guarantee studying, we cannot certainly determine whether Maya studied.
- Option A is a common trap that commits the formal logic fallacy of affirming the consequent by assuming passing requires studying.
Traps the examiner sets
- Option A is a common trap that commits the formal logic fallacy of affirming the consequent by assuming passing requires studying.
- Option B is incorrect because it is too weak; we can conclude with certainty that Sara is a member, not just that she might be.
- Option A is incorrect because it directly contradicts the premise that all animals in the zoo are safe.
- The premises state that either the witness lied or the report is wrong, and then affirm that the report is correct; by disjunctive syllogism the remaining alternative— the witness lied—must be true.
Test your recall
Answer each from memory — you'll see instantly whether you're right and why.
Run a focused 10-question mini-mock on Inference and see it stick.
Practice more of this topic →