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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 276 · 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 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
  2. 2.Rule: If Omkar wins the match, then Omkar gets a medal. Fact: Omkar gets a medal. What can you say about “Omkar does not win the match”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If Ishaan finishes the homework, then Ishaan goes to the park. Fact: Ishaan goes to the park. What can you say about “Ishaan does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  4. 4.Rule: If Rahul finishes the homework, then Rahul goes to the park. Fact: Rahul goes to the park. What can you say about “Rahul does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  5. 5.Rule: If the shop is open, then Pooja buys milk. Fact: Pooja buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  6. 6.Rule: If the shop is open, then Ira buys milk. Fact: The shop is not open. What can you say about “Ira does not buy milk”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If Rahul scores above 90, then Rahul gets a gold star. Fact: Rahul scores above 90. What can you say about “Rahul gets a gold star”? (a) must be true (b) must be false (c) can't tell
  8. 8.Rule: If Ira scores above 90, then Ira gets a gold star. Fact: Ira does not score above 90. What can you say about “Ira does not get a gold star”? (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: 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
  10. 10.Rule: If it rains, then the road gets wet. Fact: The road gets wet. What can you say about “It rains”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If the shop is open, then Zoya buys milk. Fact: The shop is open. What can you say about “Zoya buys milk”? (a) must be true (b) must be false (c) can't tell
  12. 12.Rule: If the shop is open, then Pooja buys milk. Fact: The shop is open. What can you say about “Pooja buys milk”? (a) must be true (b) must be false (c) can't tell
  13. 13.Rule: If the shop is open, then Aditya buys milk. Fact: Aditya 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
  14. 14.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
  15. 15.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
  16. 16.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
  17. 17.Rule: If the shop is open, then Aarav buys milk. Fact: Aarav buys milk. What can you say about “The shop is not open”? (a) must be true (b) must be false (c) can't tell
  18. 18.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
  19. 19.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
  20. 20.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
  21. 21.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
  22. 22.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
  23. 23.Rule: If the shop is open, then Isha buys milk. Fact: The shop is not open. What can you say about “Isha does not buy milk”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If Nisha scores above 90, then Nisha gets a gold star. Fact: Nisha scores above 90. What can you say about “Nisha does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If the traffic light is red, then the cars stop. Fact: The cars do not stop. What can you say about “The traffic light is red”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If Priya finishes the homework, then Priya goes to the park. Fact: Priya does not go to the park. What can you say about “Priya does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  27. 27.Rule: If Meera scores above 90, then Meera gets a gold star. Fact: Meera gets a gold star. What can you say about “Meera does not score above 90”? (a) must be true (b) must be false (c) can't tell
  28. 28.Rule: If Neel scores above 90, then Neel gets a gold star. Fact: Neel gets a gold star. What can you say about “Neel does not score above 90”? (a) must be true (b) must be false (c) can't tell
  29. 29.Rule: If the shop is open, then Nisha buys milk. Fact: Nisha 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
  30. 30.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
  31. 31.Rule: If the shop is open, then Ananya buys milk. Fact: The shop is open. What can you say about “Ananya buys milk”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If Saanvi scores above 90, then Saanvi gets a gold star. Fact: Saanvi scores above 90. What can you say about “Saanvi does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If it is Sunday, then the school is closed. Fact: It is Sunday. What can you say about “The school is not closed”? (a) must be true (b) must be false (c) can't tell
  34. 34.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 does not stay green”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  36. 36.Rule: If it rains, then the road gets wet. Fact: The road does not get wet. What can you say about “It does not rain”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If Dev wins the match, then Dev gets a medal. Fact: Dev does not win the match. What can you say about “Dev gets a medal”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If Kabir wins the match, then Kabir gets a medal. Fact: Kabir wins the match. What can you say about “Kabir gets a medal”? (a) must be true (b) must be false (c) can't tell
  39. 39.Rule: If Aditya scores above 90, then Aditya gets a gold star. Fact: Aditya does not score 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
  40. 40.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

Answer key

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

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