SyllogismTrivia Questions & Answers
46 syllogism trivia questions, each with the correct answer and a short explanation.
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Each question reveals the answer and a quick explanation below it.
1. All Bloops are Razzies. All Razzies are Lazzies. Are all Bloops Lazzies?
Answer: Yes. Transitive logic: Bloops → Razzies → Lazzies, so every Bloop is a Lazzie.
2. All roses are flowers. Some flowers fade quickly. Therefore?
Answer: Some roses may fade quickly. We cannot be sure roses fade, only that it is possible some do.
3. If some A are B, and all B are C, then?
Answer: Some A are C. The A that are B must be C, so at least some A are C.
4. If all Bloops are Razzies and all Razzies are Lazzies, then all Bloops are?
Answer: Lazzies. Transitivity means Bloops are Razzies, which are Lazzies, so Bloops are Lazzies.
5. All cats purr. Some pets are cats. Therefore:
Answer: Some pets purr. Pets that are cats must purr, so at least some pets purr.
6. All experts are confident. No confident person hesitates. Maya hesitates. Therefore Maya:
Answer: is not an expert. Experts are confident and confident people never hesitate, so a hesitater cannot be an expert.
7. All Zorbals are Flunds. Some Flunds are Greps. Therefore, which must be true?
Answer: Some Zorbals may be Greps. Since all Zorbals are Flunds and some Flunds are Greps, it is possible (but not certain) that some Zorbals are among the Greps — the only conclusion that must be logically consistent.
8. All Zorbians are Meldites. No Meldite is a Crynn. Some Crynns are Vasps. Which must be true?
Answer: No Zorbian is a Crynn. Since all Zorbians are Meldites and no Meldite is a Crynn, it follows necessarily that no Zorbian can be a Crynn; the other options cannot be deduced from the premises alone.
9. All A are B. Half of B are C. No C is D. Some D are A. Which conclusion is IMPOSSIBLE?
Answer: All B are A. All A are B does not imply all B are A — B can contain elements that are not A, so 'All B are A' contradicts the open premise; the other options are each consistent with or entailed by the given statements.
10. All Nims are Lops. No Lops are Veks. What must be true?
Answer: No Nims are Veks. Every Nim is a Lop, and Lops share nothing with Veks, so no Nim can be a Vek.
11. All Zorps are Trells. Some Trells are Quibs. What must be true?
Answer: Nothing definite follows about Zorps and Quibs. The Trells that are Quibs need not be the ones that are Zorps, so no Zorp-Quib link is guaranteed.
12. No Frobs are Glims. All Haxes are Frobs. What must be true?
Answer: No Haxes are Glims. Every Hax is a Frob, and Frobs share nothing with Glims, so no Hax is a Glim.
13. All Drubs are Plinks. All Plinks are Morfs. What must be true?
Answer: All Drubs are Morfs. Drubs are inside Plinks, which are inside Morfs, so every Drub is a Morf.
14. Some Wugs are Kips. All Kips are Snels. What must be true?
Answer: Some Wugs are Snels. At least one Wug is a Kip, and every Kip is a Snel, so that Wug is a Snel.
15. All tulips are flowers. Some flowers fade quickly. What must be true?
Answer: Nothing about which flowers fade is guaranteed for tulips. The fading flowers need not be tulips, so nothing forces tulips to fade or not.
16. No Brigs are Clods. Some Clods are Dints. What must be true?
Answer: Some Dints are not Brigs. At least one Clod is a Dint, and that Clod cannot be a Brig, so some Dint is not a Brig.
17. All Vorns are Yeps. No Yeps are Zibs. Some Zibs are Quabs. What must be true?
Answer: No Vorns are Zibs. Vorns are Yeps, and Yeps share nothing with Zibs, so no Vorn is a Zib.
18. Every Pim is a Rax. No Rax is a Sten. All Stens are Tobs. What must be true?
Answer: No Pim is a Sten. Pims are Raxes, and no Rax is a Sten, so no Pim is a Sten.
19. All Gorbs are Hesks. Some Hesks are not Inks. What must be true?
Answer: Nothing definite follows about Gorbs and Inks. The non-Ink Hesks need not be Gorbs, so the Gorb-Ink relationship stays undetermined.
20. No Axes are Bols. All Bols are Cyrs. All Dews are Axes. What must be true?
Answer: No Dews are Bols. Dews are Axes, and no Axe is a Bol, so no Dew is a Bol.
21. All Blips are Glorps. Some Glorps are Flumps. No Flumps are Wizzles. Which must be true?
Answer: Some Blips may not be Flumps. Since only 'some' Glorps are Flumps, Blips (a subset of Glorps) may or may not be Flumps — option A is the only necessary truth.
22. Syllogism: No mammals lay eggs. The platypus is a mammal. A researcher claims X lays eggs and is a mammal. What follows logically?
Answer: The first premise must be false. If X is a mammal that lays eggs, the universal premise 'no mammals lay eggs' is falsified; the premise itself must be wrong.
23. All Glorbits are Zindors. Some Zindors are Flaaps. No Flaaps are Quels. Which conclusion MUST be true?
Answer: Some Zindors are not Quels. Since some Zindors are Flaaps and no Flaaps are Quels, those Flaap-Zindors are definitely not Quels — so some Zindors are not Quels. This is the only statement that must be true.
24. All bloops are razzles. All razzles are lazzles. Therefore: ?
Answer: All bloops are lazzles. By syllogism transitivity: bloops→razzles→lazzles, so all bloops must be lazzles.
25. All Zorbits are Flints. Some Flints are Gleeks. Therefore, which must be true?
Answer: Some Zorbits are Gleeks. From the two premises we can only validly conclude that SOME Zorbits may be Gleeks — but it is possible (not certain); however 'some Zorbits are Gleeks' is the strongest valid inference available among these options since the overlap could include Zorbits.
26. SYLLOGISM: No musicians are accountants. All accountants wear ties. What follows necessarily?
Answer: Some tie-wearers are not musicians. Since all accountants wear ties and no musicians are accountants, accountants are tie-wearers who are not musicians — so some tie-wearers are definitely not musicians.
27. All Flurbs are Glorps. Some Glorps are Twinks. No Twinks are Flurbs. Which must be true?
Answer: Some Glorps are not Flurbs. Since no Twinks are Flurbs but some Glorps are Twinks, those Twink-Glorps are not Flurbs, proving some Glorps are not Flurbs.
28. Some brave people are fools. No fools are admired. All admired people are brave. Which statement MUST be true?
Answer: No admired people are fools. 'No fools are admired' is a direct premise, so it must be true that no admired people are fools (contrapositive is identical).
29. All blips are glorps. No glorps are snorfs. Therefore, which must be true?
Answer: No blips are snorfs. Since all blips are glorps and no glorps are snorfs, it follows necessarily that no blips are snorfs.
30. Some doctors are pilots. All pilots are athletes. Which conclusion is definitely valid?
Answer: Some doctors are athletes. Some doctors are pilots, and all pilots are athletes, so those doctors who are pilots must also be athletes.
31. All Glorps are Snurfs. Some Snurfs are Blips. No Blips are Glorps. Which must be true?
Answer: Some Snurfs are not Glorps. Since some Snurfs are Blips and no Blips are Glorps, those Blip-Snurfs are Snurfs that are definitely not Glorps.
32. All Glorps are Flimps. Some Flimps are Zarps. No Zarps are Glorps. Which must be true?
Answer: No Glorps are Zarps. Since no Zarps are Glorps is given as a premise, it directly and necessarily follows that no Glorps are Zarps (contrapositive is identical).
33. All Flurbs are Grumps. Some Grumps are Snorbs. Which MUST be true?
Answer: No conclusion is certain. The 'some Grumps are Snorbs' could be entirely the non-Flurb Grumps, so no link between Flurbs and Snorbs is guaranteed.
34. No poets are accountants. Some artists are poets. Which is CERTAINLY true?
Answer: Some artists are not accountants. The 'some artists who are poets' cannot be accountants (premise 1), so those artists are definitely not accountants — some artists are not accountants.
35. All Gralls are Wumps. Some Wumps are Flurbs. No Flurbs are Snorps. Which must be true?
Answer: Some Gralls may be Wumps that are not Flurbs. Since only SOME Wumps are Flurbs, some Gralls (who are all Wumps) could be in the non-Flurb portion of Wumps — this must logically be possible.
36. All Glorbits are Frindles. Some Frindles are Swoops. Which conclusion MUST be true?
Answer: Some Glorbits may be Swoops. Since only 'some' Frindles are Swoops, Glorbits (a subset of Frindles) may or may not overlap with Swoops — possibility, not certainty.
37. No artists are accountants. Some doctors are artists. Which MUST follow?
Answer: Some doctors are not accountants. Those doctors who are artists cannot be accountants (given premise 1), so at least those doctors are not accountants — making A necessarily true.
38. All Glorps are Blips. Some Blips are Zings. No Zings are Florps. Which must be true?
Answer: Some Glorps might be Zings. Since all Glorps are Blips and some Blips are Zings, it's possible (not certain) that some Glorps are among those Zings — so 'some Glorps might be Zings' is the only necessarily valid inference.
39. Syllogism: No poets are bankers. Some artists are poets. Which conclusion is valid?
Answer: Some artists are not bankers. Since some artists are poets and no poets are bankers, those artist-poets cannot be bankers — so 'some artists are not bankers' is provably true; 'no artists are bankers' goes too far as other artists could be bankers.
40. All Bloops are Razzies. All Razzies are Lazzies. Some Lazzies are Wazzies. Which must be true?
Answer: All Bloops are Lazzies. All Bloops are Razzies and all Razzies are Lazzies, so all Bloops must be Lazzies by syllogistic transitivity.
41. No A is B. Some C is A. Which conclusion is definitely valid?
Answer: Some C is not B. Since no A is B, the portion of C that overlaps with A cannot be B, so some C (at least) is definitely not B.
42. All blips are glorps. No glorps are snurfs. Some snurfs are blips. Which must be true?
Answer: No blips are snurfs. Since all blips are glorps and no glorps are snurfs, it follows necessarily that no blips can be snurfs — the third premise is contradictory and thus impossible.
43. If all Grems are Flurbs, some Flurbs are Snorps, and no Snorps are Blips, what must be true?
Answer: Some Grems are Snorps. Some Flurbs are Snorps but we only know all Grems are Flurbs, so some Grems could be Snorps — this is the only necessarily possible (not certain) conclusion that is formally supportable; actually no definitive link guarantees Grems avoid Blips, making 'Some Grems are Snorps' the only logically possible (though not certain) statement among the options that doesn't overreach.
44. If some doctors are golfers, and all golfers are early risers, which conclusion is CERTAIN?
Answer: Some early risers are doctors. Since some doctors are golfers and all golfers are early risers, those doctor-golfers are also early risers, so it is certain that some early risers are doctors.
45. All Glorbits are Snaves. No Snaves are Twick. Some Twick are Florps. Which MUST be true?
Answer: No Glorbits are Twick. If all Glorbits are Snaves, and no Snaves are Twick, then by transitivity no Glorbits can be Twick.
46. Some Plinks are Glorbs. All Glorbs are Wumps. No Wumps are Sprix. Which is CERTAINLY true?
Answer: Some Plinks are Wumps. Some Plinks are Glorbs; all Glorbs are Wumps; therefore those same Plinks must also be Wumps, so some Plinks are Wumps.
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