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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 325 · 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 books are keys. All books are balls. Conclusion: Some balls are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All bags are keys. All keys are books. Conclusion: No books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No rings are books. Some rings are coins. Conclusion: Some coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some pens are bags. All pens are kites. Conclusion: Some kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No pens are boxes. All boxes are kites. Conclusion: No kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All keys are rings. All caps are keys. Conclusion: Some rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All shoes are cups. Some shoes are toys. Conclusion: All toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some kites are bells. No cups are kites. Conclusion: No bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No rings are boxes. All boxes are kites. Conclusion: All rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some caps are bells. Some shoes are bells. Conclusion: All caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All bells are shoes. Some toys are bells. Conclusion: All shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some coins are caps. No coins are keys. Conclusion: All caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some balls are bags. All bags are coins. Conclusion: Some balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All shoes are balls. No kites are balls. Conclusion: No kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some toys are kites. All toys are books. Conclusion: No books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some shoes are caps. No caps are keys. Conclusion: Some keys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No pens are balls. No bells are balls. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All pens are bags. No kites are pens. Conclusion: All kites are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All toys are pens. All pens are shoes. Conclusion: Some toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: No caps are bags. All toys are caps. Conclusion: All bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All shoes are boxes. All boxes are coins. Conclusion: All shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some boxes are caps. All books are boxes. Conclusion: Some caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All pens are keys. Some pens are toys. Conclusion: Some keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No pens are bells. All coins are pens. Conclusion: No bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All boxes are balls. No balls are keys. Conclusion: No keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All caps are kites. All caps are cups. Conclusion: All cups are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All caps are pens. All caps are bells. Conclusion: Some bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All bags are books. Some rings are bags. Conclusion: No books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All caps are balls. Some caps are kites. Conclusion: Some kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All bags are rings. All bags are caps. Conclusion: Some rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No pens are kites. No kites are keys. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All bells are pens. All caps are bells. Conclusion: Some pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No coins are bags. Some books are bags. Conclusion: All books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All books are keys. Some books are bags. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All shoes are bags. Some pens are shoes. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some shoes are bags. No coins are shoes. Conclusion: All coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No toys are pens. Some keys are pens. Conclusion: All keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All pens are rings. No rings are boxes. Conclusion: Some pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All books are caps. No pens are books. Conclusion: All caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No pens are keys. Some kites are pens. Conclusion: No keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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