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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 67 · 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 pens are bags. No shoes are pens. Conclusion: Some shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some balls are cups. Some balls are coins. Conclusion: All coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All coins are cups. No cups are balls. Conclusion: All coins are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some bags are boxes. All rings are boxes. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No books are balls. Some boxes are books. Conclusion: All boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some caps are bags. Some caps are rings. Conclusion: No rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All caps are kites. No kites are pens. Conclusion: Some pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All bells are pens. No toys are bells. Conclusion: All pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All caps are kites. All kites are rings. Conclusion: All rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All cups are bags. No books are bags. Conclusion: No books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some boxes are rings. All boxes are caps. Conclusion: Some rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All cups are rings. All bells are cups. Conclusion: All bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some kites are pens. All kites are coins. Conclusion: No coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No toys are pens. Some balls are pens. Conclusion: No toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All kites are pens. All bells are kites. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All shoes are pens. All pens are toys. Conclusion: All shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some cups are shoes. No books are cups. Conclusion: No books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some coins are cups. All keys are cups. Conclusion: Some coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All keys are pens. All pens are cups. Conclusion: All keys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No rings are kites. No rings are boxes. Conclusion: Some boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No balls are rings. All balls are boxes. Conclusion: Some boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All bags are caps. Some bags are coins. Conclusion: All caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All boxes are pens. All bags are pens. Conclusion: All boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some rings are pens. All pens are shoes. Conclusion: Some shoes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some cups are balls. No cups are rings. Conclusion: Some balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some balls are books. No bags are balls. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All balls are coins. Some kites are balls. Conclusion: Some coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All caps are coins. Some caps are balls. Conclusion: Some balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some boxes are keys. No shoes are boxes. Conclusion: All keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All shoes are books. All shoes are toys. Conclusion: Some books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All keys are books. All pens are keys. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All boxes are rings. No shoes are boxes. Conclusion: No rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All kites are bags. All kites are coins. Conclusion: No coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some pens are coins. No pens are caps. Conclusion: No coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No pens are kites. Some kites are balls. Conclusion: Some pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No kites are toys. All balls are toys. Conclusion: Some balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No balls are bells. All bells are kites. Conclusion: Some balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some coins are keys. All coins are balls. Conclusion: No balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No balls are caps. No bells are caps. Conclusion: Some bells are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All books are shoes. All pens are books. Conclusion: No pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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