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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 265 · 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: Some shoes are keys. No kites are keys. Conclusion: No kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No caps are rings. No books are rings. Conclusion: Some books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All caps are cups. All caps are kites. Conclusion: No kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some bags are books. Some balls are books. Conclusion: All bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All books are bags. No bags are cups. Conclusion: No books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some shoes are books. All books are rings. Conclusion: All rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No rings are keys. All caps are rings. Conclusion: All caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No coins are bells. Some coins are bags. Conclusion: All bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some kites are toys. Some balls are kites. Conclusion: No balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No cups are pens. All balls are cups. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No shoes are caps. All pens are caps. Conclusion: No shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No rings are bells. All toys are bells. Conclusion: Some rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some bags are kites. Some boxes are bags. Conclusion: All boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some keys are cups. All bells are cups. Conclusion: Some bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No books are balls. Some rings are balls. Conclusion: All books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All keys are cups. No bags are cups. Conclusion: All bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some boxes are toys. All boxes are coins. Conclusion: No toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All keys are balls. All cups are balls. Conclusion: No keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All bags are cups. All bags are shoes. Conclusion: No cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All bags are caps. All bags are bells. Conclusion: Some bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All bells are bags. No pens are bags. Conclusion: All pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All kites are bells. All pens are kites. Conclusion: No bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All keys are rings. All rings are balls. Conclusion: All keys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All balls are toys. All balls are rings. Conclusion: Some toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some kites are pens. All kites are bells. Conclusion: Some pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All shoes are coins. No coins are cups. Conclusion: All shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some books are rings. No shoes are books. Conclusion: All rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No bells are toys. No pens are toys. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No coins are bells. Some balls are coins. Conclusion: Some balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some cups are bells. All bells are balls. Conclusion: Some balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All shoes are toys. No shoes are boxes. Conclusion: Some toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some boxes are bags. Some boxes are caps. Conclusion: All bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All books are boxes. Some boxes are bags. Conclusion: All bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some pens are keys. Some keys are caps. Conclusion: Some pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All boxes are caps. All caps are shoes. Conclusion: All boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some coins are pens. No coins are bags. Conclusion: Some bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some pens are toys. All pens are bags. Conclusion: Some toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No shoes are cups. No rings are cups. Conclusion: All shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No pens are bags. No bags are keys. Conclusion: Some pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No caps are toys. All rings are toys. Conclusion: No rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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