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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 385 · 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 bags are books. All kites are bags. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some bells are pens. No books are bells. Conclusion: All books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All pens are coins. All pens are keys. Conclusion: Some keys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some shoes are caps. All toys are caps. Conclusion: No shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All caps are toys. No bags are toys. Conclusion: All caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All boxes are caps. Some boxes are balls. Conclusion: No balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All shoes are caps. All caps are bags. Conclusion: All bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All rings are bells. Some boxes are bells. Conclusion: Some boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No shoes are bags. All coins are shoes. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some balls are coins. No books are balls. Conclusion: All coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All boxes are books. All keys are boxes. Conclusion: All books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No books are cups. All cups are shoes. Conclusion: Some books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All caps are boxes. All boxes are bells. Conclusion: Some bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All boxes are pens. No keys are pens. Conclusion: All boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All balls are books. No books are pens. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All bags are caps. All caps are cups. Conclusion: No cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some shoes are kites. All shoes are bags. Conclusion: All bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All caps are boxes. All boxes are balls. Conclusion: No balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All toys are pens. All toys are boxes. Conclusion: Some boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No rings are keys. No kites are keys. Conclusion: All kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All bells are pens. All coins are bells. Conclusion: Some pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No toys are keys. Some toys are boxes. Conclusion: Some boxes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some rings are keys. All rings are cups. Conclusion: No keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All rings are books. All books are boxes. Conclusion: All boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some balls are caps. All caps are pens. Conclusion: All pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some balls are rings. Some boxes are rings. Conclusion: No balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some pens are rings. All bells are rings. Conclusion: Some pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All books are boxes. No cups are boxes. Conclusion: No books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some books are bells. All kites are bells. Conclusion: Some books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No balls are toys. No toys are books. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No books are bags. No bags are bells. Conclusion: Some books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All bells are boxes. All bells are cups. Conclusion: All boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No books are bags. All books are pens. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All toys are books. No cups are toys. Conclusion: No books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All bags are boxes. All bags are books. Conclusion: Some boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some coins are rings. All keys are coins. Conclusion: All keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All bags are balls. All balls are rings. Conclusion: All bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All kites are rings. Some kites are bags. Conclusion: No bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All bags are pens. No shoes are pens. Conclusion: Some bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All bags are shoes. All bags are toys. Conclusion: Some shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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