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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 537 · 40 questions
TalentJR

How to think it through (Two sure moves): The “if” part happened → the “then” part must be true. The “then” part did not happen → the “if” part must be false. The “then” part happened, or the “if” part did not happen → we can’t tell.

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  1. 1.Rule: If Kabir finishes the homework, then Kabir goes to the park. Fact: Kabir does not finish the homework. What can you say about “Kabir goes to the park”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If it rains, then the road gets wet. Fact: It does not rain. What can you say about “The road gets wet”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If Nisha wins the match, then Nisha gets a medal. Fact: Nisha does not win the match. What can you say about “Nisha gets a medal”? (a) must be true (b) must be false (c) can't tell
  4. 4.Rule: If Rohan scores above 90, then Rohan gets a gold star. Fact: Rohan gets a gold star. What can you say about “Rohan scores above 90”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If it is Sunday, then the school is closed. Fact: It is not Sunday. What can you say about “The school is not closed”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If it is Sunday, then the school is closed. Fact: It is not Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is not red. What can you say about “The cars stop”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If it is Sunday, then the school is closed. Fact: The school is closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If it rains, then the road gets wet. Fact: It rains. What can you say about “The road gets wet”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If Manav finishes the homework, then Manav goes to the park. Fact: Manav does not go to the park. What can you say about “Manav finishes the homework”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If Ananya scores above 90, then Ananya gets a gold star. Fact: Ananya does not get a gold star. What can you say about “Ananya scores above 90”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If Karan finishes the homework, then Karan goes to the park. Fact: Karan does not go to the park. What can you say about “Karan does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If the plant gets water, then the plant stays green. Fact: The plant stays green. What can you say about “The plant does not get water”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If the shop is open, then Manav buys milk. Fact: The shop is not open. What can you say about “Manav does not buy milk”? (a) must be true (b) must be false (c) can't tell
  15. 15.Rule: If Zoya finishes the homework, then Zoya goes to the park. Fact: Zoya finishes the homework. What can you say about “Zoya does not go to the park”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If the shop is open, then Kavya buys milk. Fact: Kavya does not buy milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If Vivaan wins the match, then Vivaan gets a medal. Fact: Vivaan gets a medal. What can you say about “Vivaan does not win the match”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If Aarav wins the match, then Aarav gets a medal. Fact: Aarav wins the match. What can you say about “Aarav gets a medal”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If the bell rings, then the class starts. Fact: The bell rings. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If the plant gets water, then the plant stays green. Fact: The plant does not stay green. What can you say about “The plant gets water”? (a) must be true (b) must be false (c) can't tell
  21. 21.Rule: If Meera scores above 90, then Meera gets a gold star. Fact: Meera scores above 90. What can you say about “Meera gets a gold star”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If Meera finishes the homework, then Meera goes to the park. Fact: Meera does not finish the homework. What can you say about “Meera does not go to the park”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If the bell rings, then the class starts. Fact: The class starts. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If the shop is open, then Saanvi buys milk. Fact: Saanvi buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If Omkar wins the match, then Omkar gets a medal. Fact: Omkar does not win the match. What can you say about “Omkar gets a medal”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If Ishaan finishes the homework, then Ishaan goes to the park. Fact: Ishaan does not go to the park. What can you say about “Ishaan finishes the homework”? (a) must be true (b) must be false (c) can't tell
  27. 27.Rule: If it rains, then the road gets wet. Fact: It rains. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If the shop is open, then Ananya buys milk. Fact: Ananya does not buy milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  29. 29.Rule: If Ishaan scores above 90, then Ishaan gets a gold star. Fact: Ishaan gets a gold star. What can you say about “Ishaan scores above 90”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If Aisha finishes the homework, then Aisha goes to the park. Fact: Aisha does not finish the homework. What can you say about “Aisha does not go to the park”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If Tara finishes the homework, then Tara goes to the park. Fact: Tara finishes the homework. What can you say about “Tara goes to the park”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If the shop is open, then Priya buys milk. Fact: The shop is not open. What can you say about “Priya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If the bell rings, then the class starts. Fact: The bell does not ring. What can you say about “The class does not start”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If it rains, then the road gets wet. Fact: The road does not get wet. What can you say about “It rains”? (a) must be true (b) must be false (c) can't tell
  35. 35.Rule: If the plant gets water, then the plant stays green. Fact: The plant gets water. What can you say about “The plant stays green”? (a) must be true (b) must be false (c) can't tell
  36. 36.Rule: If Karan scores above 90, then Karan gets a gold star. Fact: Karan scores above 90. What can you say about “Karan gets a gold star”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If the shop is open, then Nisha buys milk. Fact: The shop is open. What can you say about “Nisha does not buy milk”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If the plant gets water, then the plant stays green. Fact: The plant does not get water. What can you say about “The plant stays green”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If it is Sunday, then the school is closed. Fact: It is Sunday. What can you say about “The school is closed”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If the bell rings, then the class starts. Fact: The bell does not ring. What can you say about “The class starts”? (a) must be true (b) must be false (c) can't tell

Answer key

  1. can't tell
  2. can't tell
  3. can't tell
  4. can't tell
  5. can't tell
  6. can't tell
  7. can't tell
  8. can't tell
  9. must be true
  10. must be false
  11. must be false
  12. must be true
  13. can't tell
  14. can't tell
  15. must be false
  16. must be false
  17. can't tell
  18. must be true
  19. must be true
  20. must be false
  21. must be true
  22. can't tell
  23. can't tell
  24. can't tell
  25. can't tell
  26. must be false
  27. must be false
  28. must be true
  29. can't tell
  30. can't tell
  31. must be true
  32. can't tell
  33. can't tell
  34. must be false
  35. must be true
  36. must be true
  37. must be false
  38. can't tell
  39. must be true
  40. can't tell

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