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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 196 · 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: No caps are toys. No coins are caps. Conclusion: All toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No balls are pens. All balls are keys. Conclusion: Some pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All bags are coins. No kites are coins. Conclusion: No kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All balls are books. All books are bags. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some bells are pens. All bells are boxes. Conclusion: Some boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All coins are bells. Some rings are coins. Conclusion: Some rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All shoes are coins. All shoes are toys. Conclusion: All coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some boxes are caps. No balls are caps. Conclusion: All boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some rings are cups. No shoes are rings. Conclusion: All cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No boxes are rings. All pens are boxes. Conclusion: No rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All bags are books. No toys are bags. Conclusion: All books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No boxes are kites. All cups are kites. Conclusion: Some boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No pens are shoes. All shoes are balls. Conclusion: Some balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No boxes are pens. Some boxes are bells. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some rings are balls. No shoes are rings. Conclusion: No balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All bags are balls. Some balls are bells. Conclusion: All bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All keys are bags. No bags are coins. Conclusion: Some coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some caps are shoes. All boxes are shoes. Conclusion: Some caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some rings are bags. All rings are books. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All keys are caps. Some shoes are keys. Conclusion: No caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No cups are boxes. Some coins are cups. Conclusion: All coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All keys are rings. All rings are kites. Conclusion: All keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All toys are boxes. All toys are coins. Conclusion: Some coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All bells are shoes. All shoes are boxes. Conclusion: Some boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All books are caps. Some shoes are books. Conclusion: No caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some caps are bells. No bells are rings. Conclusion: No caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No shoes are cups. No rings are cups. Conclusion: All rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All pens are bags. Some pens are coins. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some cups are pens. No cups are boxes. Conclusion: No boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All rings are balls. Some books are balls. Conclusion: All rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No cups are caps. Some caps are boxes. Conclusion: Some cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No coins are boxes. No caps are boxes. Conclusion: No coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some shoes are bags. All shoes are boxes. Conclusion: Some bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All caps are pens. Some caps are rings. Conclusion: No rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All books are keys. All keys are coins. Conclusion: All books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All balls are bags. No balls are books. Conclusion: Some books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All keys are caps. All keys are kites. Conclusion: Some kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bags are cups. No balls are cups. Conclusion: No bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All balls are rings. All rings are toys. Conclusion: Some toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some pens are bells. Some bags are bells. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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