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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 77 · 40 questions
TalentJR

How to think it through (Try to break it): Draw a circle for each word. “All A are B”: A inside B. “No A are B”: apart. “Some A are B”: overlapping. Try to draw the circles so the conclusion is false while every statement stays true. If you cannot, the conclusion follows (Yes). If you can, it does not definitely follow (No).

NameDateTime takenScore ___ / 40
  1. 1.Statements: All coins are toys. Some pens are coins. Conclusion: Some pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All pens are books. No books are bells. Conclusion: Some pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All books are rings. All rings are keys. Conclusion: Some books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some pens are bells. All pens are coins. Conclusion: Some bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All toys are bags. Some bells are toys. Conclusion: All bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No bells are bags. Some bags are toys. Conclusion: Some bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some kites are bags. All rings are kites. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All shoes are cups. All caps are shoes. Conclusion: All caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some books are rings. All kites are books. Conclusion: All rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All books are shoes. All shoes are boxes. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No bags are kites. Some bags are shoes. Conclusion: Some shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All caps are pens. All caps are books. Conclusion: No books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All kites are shoes. All kites are keys. Conclusion: All keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some bags are pens. Some pens are boxes. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All rings are bells. All bells are caps. Conclusion: Some rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No kites are caps. No caps are toys. Conclusion: No toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No shoes are bags. All rings are shoes. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All keys are balls. Some keys are books. Conclusion: All books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some keys are bells. All keys are books. Conclusion: Some books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All caps are toys. All bags are toys. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No shoes are toys. No books are toys. Conclusion: No books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No shoes are pens. No balls are pens. Conclusion: All balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No kites are bags. Some kites are coins. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All balls are rings. Some balls are caps. Conclusion: All rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some rings are bags. Some rings are toys. Conclusion: All toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some balls are books. All books are cups. Conclusion: Some cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No rings are bells. All keys are bells. Conclusion: No keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some pens are caps. Some pens are cups. Conclusion: All cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All books are boxes. Some books are pens. Conclusion: All boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No books are keys. Some bags are keys. Conclusion: All books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All caps are boxes. Some bells are caps. Conclusion: Some boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some caps are toys. Some toys are bells. Conclusion: No caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No pens are caps. All rings are pens. Conclusion: No rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All shoes are bells. All boxes are bells. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No cups are pens. No bells are cups. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All balls are toys. All toys are bells. Conclusion: Some balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All shoes are cups. No cups are bells. Conclusion: No shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some toys are boxes. Some bells are toys. Conclusion: Some bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All caps are keys. All kites are caps. Conclusion: Some kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All toys are bells. All bags are toys. Conclusion: All bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

  1. Yes
  2. No
  3. Yes
  4. Yes
  5. No
  6. No
  7. No
  8. Yes
  9. No
  10. Yes
  11. No
  12. No
  13. No
  14. No
  15. Yes
  16. No
  17. Yes
  18. No
  19. Yes
  20. No
  21. No
  22. No
  23. No
  24. No
  25. No
  26. Yes
  27. Yes
  28. No
  29. No
  30. No
  31. Yes
  32. No
  33. Yes
  34. No
  35. No
  36. Yes
  37. Yes
  38. No
  39. Yes
  40. Yes

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