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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 290 · 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 boxes are rings. No boxes are kites. Conclusion: No rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All coins are rings. Some rings are bells. Conclusion: No coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some boxes are bells. All bells are kites. Conclusion: Some boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All caps are keys. No bells are keys. Conclusion: All bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All pens are rings. No rings are boxes. Conclusion: No pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All bells are books. All kites are bells. Conclusion: All kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All books are caps. No pens are caps. Conclusion: All pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some keys are coins. No boxes are keys. Conclusion: All boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All books are shoes. Some bags are shoes. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some cups are books. All pens are books. Conclusion: Some cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All kites are books. Some kites are rings. Conclusion: Some rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All balls are boxes. All keys are balls. Conclusion: All keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All keys are shoes. Some shoes are toys. Conclusion: All keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All pens are shoes. Some boxes are pens. Conclusion: Some shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some boxes are shoes. All coins are shoes. Conclusion: No coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All pens are toys. All toys are keys. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some pens are toys. Some coins are pens. Conclusion: All coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All caps are books. Some shoes are books. Conclusion: No caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All shoes are balls. All shoes are toys. Conclusion: No balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No pens are bells. Some pens are boxes. Conclusion: No boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No toys are books. All boxes are books. Conclusion: All boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some shoes are keys. All books are shoes. Conclusion: No books are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All keys are caps. Some keys are toys. Conclusion: Some toys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some pens are bells. All bells are cups. Conclusion: All cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some pens are kites. Some shoes are kites. Conclusion: All pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All boxes are keys. No keys are shoes. Conclusion: No boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All bells are bags. All kites are bells. Conclusion: No bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All shoes are boxes. Some shoes are kites. Conclusion: Some boxes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No caps are cups. All caps are balls. Conclusion: Some balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some caps are books. All bags are books. Conclusion: All caps are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All rings are cups. No cups are keys. Conclusion: All keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some shoes are bags. All bags are cups. Conclusion: Some shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some shoes are toys. All shoes are keys. Conclusion: No toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All caps are kites. All kites are bells. Conclusion: No bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All bags are coins. Some coins are rings. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All kites are boxes. Some boxes are pens. Conclusion: All pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No rings are cups. Some cups are keys. Conclusion: All keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All rings are kites. All bells are kites. Conclusion: All bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some caps are books. Some books are keys. Conclusion: Some keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No caps are rings. No keys are caps. Conclusion: No keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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