Question 1

All Bloops are Razzies. All Razzies are Lazzies. Are all Bloops Lazzies?

Accepted Answer

Yes. Transitive logic: Bloops → Razzies → Lazzies, so every Bloop is a Lazzie.

Question 2

All roses are flowers. Some flowers fade quickly. Therefore?

Accepted Answer

Some roses may fade quickly. We cannot be sure roses fade, only that it is possible some do.

Question 3

If some A are B, and all B are C, then?

Accepted Answer

Some A are C. The A that are B must be C, so at least some A are C.

Question 4

If all Bloops are Razzies and all Razzies are Lazzies, then all Bloops are?

Accepted Answer

Lazzies. Transitivity means Bloops are Razzies, which are Lazzies, so Bloops are Lazzies.

Question 5

All cats purr. Some pets are cats. Therefore:

Accepted Answer

Some pets purr. Pets that are cats must purr, so at least some pets purr.

Question 6

All experts are confident. No confident person hesitates. Maya hesitates. Therefore Maya:

Accepted Answer

is not an expert. Experts are confident and confident people never hesitate, so a hesitater cannot be an expert.

Question 7

All Zorbals are Flunds. Some Flunds are Greps. Therefore, which must be true?

Accepted 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.

Question 8

All Zorbians are Meldites. No Meldite is a Crynn. Some Crynns are Vasps. Which must be true?

Accepted 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.

Question 9

All A are B. Half of B are C. No C is D. Some D are A. Which conclusion is IMPOSSIBLE?

Accepted 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.

Question 10

All Nims are Lops. No Lops are Veks. What must be true?

Accepted Answer

No Nims are Veks. Every Nim is a Lop, and Lops share nothing with Veks, so no Nim can be a Vek.

Question 11

All Zorps are Trells. Some Trells are Quibs. What must be true?

Accepted 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.

Question 12

No Frobs are Glims. All Haxes are Frobs. What must be true?

Accepted Answer

No Haxes are Glims. Every Hax is a Frob, and Frobs share nothing with Glims, so no Hax is a Glim.

Question 13

All Drubs are Plinks. All Plinks are Morfs. What must be true?

Accepted Answer

All Drubs are Morfs. Drubs are inside Plinks, which are inside Morfs, so every Drub is a Morf.

Question 14

Some Wugs are Kips. All Kips are Snels. What must be true?

Accepted Answer

Some Wugs are Snels. At least one Wug is a Kip, and every Kip is a Snel, so that Wug is a Snel.

Question 15

All tulips are flowers. Some flowers fade quickly. What must be true?

Accepted 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.

Question 16

No Brigs are Clods. Some Clods are Dints. What must be true?

Accepted 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.

Question 17

All Vorns are Yeps. No Yeps are Zibs. Some Zibs are Quabs. What must be true?

Accepted Answer

No Vorns are Zibs. Vorns are Yeps, and Yeps share nothing with Zibs, so no Vorn is a Zib.

Question 18

Every Pim is a Rax. No Rax is a Sten. All Stens are Tobs. What must be true?

Accepted Answer

No Pim is a Sten. Pims are Raxes, and no Rax is a Sten, so no Pim is a Sten.

Question 19

All Gorbs are Hesks. Some Hesks are not Inks. What must be true?

Accepted Answer

Nothing definite follows about Gorbs and Inks. The non-Ink Hesks need not be Gorbs, so the Gorb-Ink relationship stays undetermined.

Question 20

No Axes are Bols. All Bols are Cyrs. All Dews are Axes. What must be true?

Accepted Answer

No Dews are Bols. Dews are Axes, and no Axe is a Bol, so no Dew is a Bol.

Question 21

All Blips are Glorps. Some Glorps are Flumps. No Flumps are Wizzles. Which must be true?

Accepted 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.

Question 22

Syllogism: No mammals lay eggs. The platypus is a mammal. A researcher claims X lays eggs and is a mammal. What follows logically?

Accepted 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.

Question 23

All Glorbits are Zindors. Some Zindors are Flaaps. No Flaaps are Quels. Which conclusion MUST be true?

Accepted 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.

Question 24

All bloops are razzles. All razzles are lazzles. Therefore: ?

Accepted Answer

All bloops are lazzles. By syllogism transitivity: bloops→razzles→lazzles, so all bloops must be lazzles.

Question 25

All Zorbits are Flints. Some Flints are Gleeks. Therefore, which must be true?

Accepted 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.

Question 26

SYLLOGISM: No musicians are accountants. All accountants wear ties. What follows necessarily?

Accepted 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.

Question 27

All Flurbs are Glorps. Some Glorps are Twinks. No Twinks are Flurbs. Which must be true?

Accepted 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.

Question 28

Some brave people are fools. No fools are admired. All admired people are brave. Which statement MUST be true?

Accepted 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).

Question 29

All blips are glorps. No glorps are snorfs. Therefore, which must be true?

Accepted Answer

No blips are snorfs. Since all blips are glorps and no glorps are snorfs, it follows necessarily that no blips are snorfs.

Question 30

Some doctors are pilots. All pilots are athletes. Which conclusion is definitely valid?

Accepted Answer

Some doctors are athletes. Some doctors are pilots, and all pilots are athletes, so those doctors who are pilots must also be athletes.

Question 31

All Glorps are Snurfs. Some Snurfs are Blips. No Blips are Glorps. Which must be true?

Accepted 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.

Question 32

All Glorps are Flimps. Some Flimps are Zarps. No Zarps are Glorps. Which must be true?

Accepted 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).

Question 33

All Flurbs are Grumps. Some Grumps are Snorbs. Which MUST be true?

Accepted 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.

Question 34

No poets are accountants. Some artists are poets. Which is CERTAINLY true?

Accepted 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.

Question 35

All Gralls are Wumps. Some Wumps are Flurbs. No Flurbs are Snorps. Which must be true?

Accepted 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.

Question 36

All Glorbits are Frindles. Some Frindles are Swoops. Which conclusion MUST be true?

Accepted 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.

Question 37

No artists are accountants. Some doctors are artists. Which MUST follow?

Accepted 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.

Question 38

All Glorps are Blips. Some Blips are Zings. No Zings are Florps. Which must be true?

Accepted 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.

Question 39

Syllogism: No poets are bankers. Some artists are poets. Which conclusion is valid?

Accepted 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.

Question 40

All Bloops are Razzies. All Razzies are Lazzies. Some Lazzies are Wazzies. Which must be true?

Accepted Answer

All Bloops are Lazzies. All Bloops are Razzies and all Razzies are Lazzies, so all Bloops must be Lazzies by syllogistic transitivity.

Question 41

No A is B. Some C is A. Which conclusion is definitely valid?

Accepted 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.

Question 42

All blips are glorps. No glorps are snurfs. Some snurfs are blips. Which must be true?

Accepted 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.

Question 43

If all Grems are Flurbs, some Flurbs are Snorps, and no Snorps are Blips, what must be true?

Accepted 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.

Question 44

If some doctors are golfers, and all golfers are early risers, which conclusion is CERTAIN?

Accepted 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.

Question 45

All Glorbits are Snaves. No Snaves are Twick. Some Twick are Florps. Which MUST be true?

Accepted Answer

No Glorbits are Twick. If all Glorbits are Snaves, and no Snaves are Twick, then by transitivity no Glorbits can be Twick.

Question 46

Some Plinks are Glorbs. All Glorbs are Wumps. No Wumps are Sprix. Which is CERTAINLY true?

Accepted 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.

Question 47

All Glorps are Flurps. Some Flurps are Zunks. No Zunks are Glorps. Which MUST be true?

Accepted Answer

Some Flurps are not Glorps. Since no Zunks are Glorps but some Flurps are Zunks, those Flurp-Zunks cannot be Glorps, so some Flurps are definitely not Glorps.

Question 48

All Blinks are Wumps. Some Wumps are Zogs. No Zogs are Blinks. Which must be true?

Accepted Answer

No Blinks are Zogs. No Zogs are Blinks is given; since all Blinks are Wumps but no Zogs are Blinks, no Blinks are Zogs must hold — it is the contrapositive of the given premise.

Question 49

All nobles are liars. Some knights are nobles. Which conclusion must be true?

Accepted Answer

Some knights are liars. The knights who are nobles must also be liars (by syllogism), so at minimum some knights are liars; no stronger claim is guaranteed.

Question 50

No fast cars are safe. All racing cars are fast. Some sports cars are racing cars. Which is certain?

Accepted Answer

All racing cars are unsafe. All racing cars are fast (given), and no fast cars are safe (given), so all racing cars are unsafe — this is deductively certain.

Question 51

All Zips are Zaps. Some Zaps are Zops. No Zops are Zips. Which must be true?

Accepted Answer

Some Zaps are not Zips. Since some Zaps are Zops and no Zops are Zips, those Zaps that are Zops cannot be Zips, so some Zaps are necessarily not Zips.

Question 52

All BLIPS are GLOPS. Some GLOPS are FLIPS. Therefore, which must be true?

Accepted Answer

Some BLIPS may be FLIPS. Since only some GLOPS are FLIPS, those FLIPS may or may not overlap with BLIPS — only 'may be' is necessarily valid.

Question 53

All Glurps are Blurps. Some Blurps are Flurps. No Flurps are Zurps. Which must be true?

Accepted Answer

Some Glurps might be Flurps. Glurps are a subset of Blurps, and some Blurps are Flurps, so it is possible (not certain) that some Glurps are Flurps — this is the only statement that must be consistent with the premises.

Question 54

Syllogism: All gloves are tools. Some tools are blue. Which must be true?

Accepted Answer

None of the above must be true. We cannot conclude gloves are blue (the blue tools might not be gloves); 'Some gloves are tools' reverses the universal incorrectly — gloves ARE tools but 'some' understates; logically none of the listed positive conclusions are guaranteed.

Question 55

Matrix logic: If no poets are rich, and some artists are poets, which conclusion is valid?

Accepted Answer

Some artists are not rich. Those artists who are poets cannot be rich (since no poets are rich), so at least some artists are not rich — this follows necessarily.

Question 56

All Blips are Glorps. No Glorps are Flanks. Which conclusion must be true?

Accepted Answer

No Blips are Flanks. All Blips ⊆ Glorps; Glorps ∩ Flanks = ∅; therefore Blips ∩ Flanks = ∅ — no Blips are Flanks.

Question 57

If all Zyrens are Flops, some Flops are Quilts, and no Quilts are Zyrens, which must be true?

Accepted Answer

Some Flops are not Zyrens. Since some Flops are Quilts and no Quilts are Zyrens, those Flops-that-are-Quilts cannot be Zyrens, so some Flops are definitely not Zyrens.

Question 58

Syllogism: No honest politician wins. Sam won the election. What follows with certainty?

Accepted Answer

Sam is not honest. If no honest politician wins and Sam won, Sam cannot be an honest politician — so Sam is not honest (assuming Sam is a politician from context of winning).

Question 59

All Glinks are Blorts. Some Blorts are Flumps. Which must be true?

Accepted Answer

Some Glinks might be Flumps. Since some Blorts are Flumps and all Glinks are Blorts, it's possible but not certain that some Glinks are Flumps — it might be true.

Question 60

All Blips are Zogs. Some Zogs are Wumps. Therefore:

Accepted Answer

Some Blips may be Wumps. Since only SOME Zogs are Wumps, and Blips are a subset of Zogs, some Blips might or might not be Wumps — only possibility is certain.

Question 61

All Glorbs are Snurfs. No Snurfs are Bliths. Some Bliths are Glorbs. What must be true?

Accepted Answer

No Glorbs are Bliths. All Glorbs are Snurfs, and no Snurfs are Bliths; therefore no Glorbs (being Snurfs) can be Bliths — the third premise 'some Bliths are Glorbs' contradicts the others, making option C the conclusion forced by premises 1 and 2.

Question 62

No poets are accountants. Some musicians are poets. Therefore, which conclusion is valid?

Accepted Answer

Some musicians are not accountants. Those musicians who are poets cannot be accountants (since no poets are accountants), so at minimum those musicians are not accountants — 'some musicians are not accountants' is necessarily true.

Question 63

Syllogism: All architects are dreamers. Some dreamers are pessimists. Which conclusion MUST be true?

Accepted Answer

Some architects may be pessimists. From the premises only 'some architects may be pessimists' is possible but not guaranteed; no stronger conclusion is logically forced, making it the only defensible choice among the options.

Question 64

All Blips are Glorps. No Glorps are Snurfs. Some Snurfs are Whimps. Therefore:

Accepted Answer

No Blips are Snurfs. Since all Blips are Glorps and no Glorps are Snurfs, it follows necessarily that no Blips can be Snurfs.

SyllogismTrivia Questions & Answers

Syllogism Quiz — 71 Questions

1. All Bloops are Razzies. All Razzies are Lazzies. Are all Bloops Lazzies?

2. All roses are flowers. Some flowers fade quickly. Therefore?

3. If some A are B, and all B are C, then?

4. If all Bloops are Razzies and all Razzies are Lazzies, then all Bloops are?

5. All cats purr. Some pets are cats. Therefore:

6. All experts are confident. No confident person hesitates. Maya hesitates. Therefore Maya:

7. All Zorbals are Flunds. Some Flunds are Greps. Therefore, which must be true?

8. All Zorbians are Meldites. No Meldite is a Crynn. Some Crynns are Vasps. Which must be true?

9. All A are B. Half of B are C. No C is D. Some D are A. Which conclusion is IMPOSSIBLE?

10. All Nims are Lops. No Lops are Veks. What must be true?

11. All Zorps are Trells. Some Trells are Quibs. What must be true?

12. No Frobs are Glims. All Haxes are Frobs. What must be true?

13. All Drubs are Plinks. All Plinks are Morfs. What must be true?

14. Some Wugs are Kips. All Kips are Snels. What must be true?

15. All tulips are flowers. Some flowers fade quickly. What must be true?

16. No Brigs are Clods. Some Clods are Dints. What must be true?

17. All Vorns are Yeps. No Yeps are Zibs. Some Zibs are Quabs. What must be true?

18. Every Pim is a Rax. No Rax is a Sten. All Stens are Tobs. What must be true?

19. All Gorbs are Hesks. Some Hesks are not Inks. What must be true?

20. No Axes are Bols. All Bols are Cyrs. All Dews are Axes. What must be true?

21. All Blips are Glorps. Some Glorps are Flumps. No Flumps are Wizzles. Which must be true?

22. Syllogism: No mammals lay eggs. The platypus is a mammal. A researcher claims X lays eggs and is a mammal. What follows logically?

23. All Glorbits are Zindors. Some Zindors are Flaaps. No Flaaps are Quels. Which conclusion MUST be true?

24. All bloops are razzles. All razzles are lazzles. Therefore: ?

25. All Zorbits are Flints. Some Flints are Gleeks. Therefore, which must be true?

26. SYLLOGISM: No musicians are accountants. All accountants wear ties. What follows necessarily?

27. All Flurbs are Glorps. Some Glorps are Twinks. No Twinks are Flurbs. Which must be true?

28. Some brave people are fools. No fools are admired. All admired people are brave. Which statement MUST be true?

29. All blips are glorps. No glorps are snorfs. Therefore, which must be true?

30. Some doctors are pilots. All pilots are athletes. Which conclusion is definitely valid?

31. All Glorps are Snurfs. Some Snurfs are Blips. No Blips are Glorps. Which must be true?

32. All Glorps are Flimps. Some Flimps are Zarps. No Zarps are Glorps. Which must be true?

33. All Flurbs are Grumps. Some Grumps are Snorbs. Which MUST be true?

34. No poets are accountants. Some artists are poets. Which is CERTAINLY true?

35. All Gralls are Wumps. Some Wumps are Flurbs. No Flurbs are Snorps. Which must be true?

36. All Glorbits are Frindles. Some Frindles are Swoops. Which conclusion MUST be true?

37. No artists are accountants. Some doctors are artists. Which MUST follow?

38. All Glorps are Blips. Some Blips are Zings. No Zings are Florps. Which must be true?

39. Syllogism: No poets are bankers. Some artists are poets. Which conclusion is valid?

40. All Bloops are Razzies. All Razzies are Lazzies. Some Lazzies are Wazzies. Which must be true?

41. No A is B. Some C is A. Which conclusion is definitely valid?

42. All blips are glorps. No glorps are snurfs. Some snurfs are blips. Which must be true?

43. If all Grems are Flurbs, some Flurbs are Snorps, and no Snorps are Blips, what must be true?

44. If some doctors are golfers, and all golfers are early risers, which conclusion is CERTAIN?

45. All Glorbits are Snaves. No Snaves are Twick. Some Twick are Florps. Which MUST be true?

46. Some Plinks are Glorbs. All Glorbs are Wumps. No Wumps are Sprix. Which is CERTAINLY true?

47. All Glorps are Flurps. Some Flurps are Zunks. No Zunks are Glorps. Which MUST be true?

48. All Blinks are Wumps. Some Wumps are Zogs. No Zogs are Blinks. Which must be true?

49. All nobles are liars. Some knights are nobles. Which conclusion must be true?

50. No fast cars are safe. All racing cars are fast. Some sports cars are racing cars. Which is certain?

51. All Zips are Zaps. Some Zaps are Zops. No Zops are Zips. Which must be true?

52. All BLIPS are GLOPS. Some GLOPS are FLIPS. Therefore, which must be true?

53. All Glurps are Blurps. Some Blurps are Flurps. No Flurps are Zurps. Which must be true?

54. Syllogism: All gloves are tools. Some tools are blue. Which must be true?

55. Matrix logic: If no poets are rich, and some artists are poets, which conclusion is valid?

56. All Blips are Glorps. No Glorps are Flanks. Which conclusion must be true?

57. If all Zyrens are Flops, some Flops are Quilts, and no Quilts are Zyrens, which must be true?

58. Syllogism: No honest politician wins. Sam won the election. What follows with certainty?

59. All Glinks are Blorts. Some Blorts are Flumps. Which must be true?

60. All Blips are Zogs. Some Zogs are Wumps. Therefore:

61. All Glorbs are Snurfs. No Snurfs are Bliths. Some Bliths are Glorbs. What must be true?

62. No poets are accountants. Some musicians are poets. Therefore, which conclusion is valid?

63. Syllogism: All architects are dreamers. Some dreamers are pessimists. Which conclusion MUST be true?

64. All Blips are Glorps. No Glorps are Snurfs. Some Snurfs are Whimps. Therefore:

65. All Glorps are Blips. Some Blips are Zunks. No Zunks are Wumps. Which must be true?

66. All Grellions are Blumps. No Blumps are Frandels. Some Frandels are Grellions. What must be true?

67. All Blips are Zogs. No Zogs are Wumps. Some Wumps are Flips. Which conclusion MUST be true?

68. All Blips are Glorps. No Glorps are Snurfs. Therefore which must be true?

69. All 5 people sit in a row. Ann is not at either end. Bob sits left of Carol. Carol sits immediately right of Ann. Dave is at the far left. Who sits at the far right?

70. All Glurps are Blips. Some Blips are Flops. No Flops are Snips. Which must be true?

71. No politicians are honest. Some honest people are wealthy. Which conclusion is valid?

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