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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 477 · 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 Manav wins the match, then Manav gets a medal. Fact: Manav does not win the match. What can you say about “Manav does not get a medal”? (a) must be true (b) must be false (c) can't tell
  2. 2.Rule: If the shop is open, then Meera buys milk. Fact: Meera 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
  3. 3.Rule: If Dev finishes the homework, then Dev goes to the park. Fact: Dev goes to the park. What can you say about “Dev finishes the homework”? (a) must be true (b) must be false (c) can't tell
  4. 4.Rule: If Diya finishes the homework, then Diya goes to the park. Fact: Diya goes to the park. What can you say about “Diya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If the traffic light is red, then the cars stop. Fact: The cars stop. What can you say about “The traffic light is red”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If Dev wins the match, then Dev gets a medal. Fact: Dev does not get a medal. What can you say about “Dev does not win the match”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If Kavya finishes the homework, then Kavya goes to the park. Fact: Kavya goes to the park. What can you say about “Kavya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If the shop is open, then Ananya buys milk. Fact: The shop is not open. What can you say about “Ananya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  9. 9.Rule: If it is Sunday, then the school is closed. Fact: The school is closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If Omkar scores above 90, then Omkar gets a gold star. Fact: Omkar gets a gold star. What can you say about “Omkar does not score above 90”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If Aditya scores above 90, then Aditya gets a gold star. Fact: Aditya scores above 90. What can you say about “Aditya does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If the bell rings, then the class starts. Fact: The class does not start. What can you say about “The bell does not ring”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If the bell rings, then the class starts. Fact: The bell rings. What can you say about “The class does not start”? (a) must be true (b) must be false (c) can't tell
  14. 14.Rule: If Rahul scores above 90, then Rahul gets a gold star. Fact: Rahul does not score above 90. What can you say about “Rahul gets a gold star”? (a) must be true (b) must be false (c) can't tell
  15. 15.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
  16. 16.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 do not stop”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If the traffic light is red, then the cars stop. Fact: The cars stop. What can you say about “The traffic light is not red”? (a) must be true (b) must be false (c) can't tell
  18. 18.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is red. What can you say about “The cars stop”? (a) must be true (b) must be false (c) can't tell
  19. 19.Rule: If it is Sunday, then the school is closed. Fact: The school is not closed. What can you say about “It is not Sunday”? (a) must be true (b) must be false (c) can't tell
  20. 20.Rule: If the shop is open, then Aarav buys milk. Fact: Aarav 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
  21. 21.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
  22. 22.Rule: If the shop is open, then Isha buys milk. Fact: Isha buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar finishes the homework. What can you say about “Omkar goes to the park”? (a) must be true (b) must be false (c) can't tell
  24. 24.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
  25. 25.Rule: If the shop is open, then Zoya buys milk. Fact: The shop is not open. What can you say about “Zoya buys milk”? (a) must be true (b) must be false (c) can't tell
  26. 26.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
  27. 27.Rule: If it rains, then the road gets wet. Fact: The road gets wet. What can you say about “It does not rain”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If Ishaan finishes the homework, then Ishaan goes to the park. Fact: Ishaan does not finish the homework. What can you say about “Ishaan does not go to the park”? (a) must be true (b) must be false (c) can't tell
  29. 29.Rule: If Zoya wins the match, then Zoya gets a medal. Fact: Zoya does not get a medal. What can you say about “Zoya does not win the match”? (a) must be true (b) must be false (c) can't tell
  30. 30.Rule: If the shop is open, then Farhan buys milk. Fact: Farhan 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
  31. 31.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
  32. 32.Rule: If Arjun finishes the homework, then Arjun goes to the park. Fact: Arjun finishes the homework. What can you say about “Arjun does not go to the park”? (a) must be true (b) must be false (c) can't tell
  33. 33.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
  34. 34.Rule: If the shop is open, then Priya buys milk. Fact: The shop is not open. What can you say about “Priya buys milk”? (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 does not stay green”? (a) must be true (b) must be false (c) can't tell
  36. 36.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
  37. 37.Rule: If Myra scores above 90, then Myra gets a gold star. Fact: Myra does not get a gold star. What can you say about “Myra does not score above 90”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If the shop is open, then Riya buys milk. Fact: The shop is not open. What can you say about “Riya buys milk”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Farhan scores above 90, then Farhan gets a gold star. Fact: Farhan gets a gold star. What can you say about “Farhan scores above 90”? (a) must be true (b) must be false (c) can't tell
  40. 40.Rule: If it is Sunday, then the school is closed. Fact: The school is not closed. What can you say about “It is Sunday”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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