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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 293 · 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 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
  2. 2.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
  3. 3.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
  4. 4.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
  5. 5.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
  6. 6.Rule: If Aarav finishes the homework, then Aarav goes to the park. Fact: Aarav does not go to the park. What can you say about “Aarav finishes the homework”? (a) must be true (b) must be false (c) can't tell
  7. 7.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
  8. 8.Rule: If the shop is open, then Ira buys milk. Fact: Ira 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
  9. 9.Rule: If Manav finishes the homework, then Manav goes to the park. Fact: Manav does not finish the homework. What can you say about “Manav does not go to the park”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If Saanvi wins the match, then Saanvi gets a medal. Fact: Saanvi does not win the match. What can you say about “Saanvi does not get a medal”? (a) must be true (b) must be false (c) can't tell
  11. 11.Rule: If the shop is open, then Kabir buys milk. Fact: The shop is not open. What can you say about “Kabir does not buy milk”? (a) must be true (b) must be false (c) can't tell
  12. 12.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
  13. 13.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
  14. 14.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
  15. 15.Rule: If Vivaan finishes the homework, then Vivaan goes to the park. Fact: Vivaan goes to the park. What can you say about “Vivaan finishes the homework”? (a) must be true (b) must be false (c) can't tell
  16. 16.Rule: If the bell rings, then the class starts. Fact: The class does not start. What can you say about “The bell rings”? (a) must be true (b) must be false (c) can't tell
  17. 17.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
  18. 18.Rule: If Riya wins the match, then Riya gets a medal. Fact: Riya does not win the match. What can you say about “Riya does not get a medal”? (a) must be true (b) must be false (c) can't tell
  19. 19.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 does not get water”? (a) must be true (b) must be false (c) can't tell
  20. 20.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
  21. 21.Rule: If Karan scores above 90, then Karan gets a gold star. Fact: Karan does not score above 90. What can you say about “Karan does not get a gold star”? (a) must be true (b) must be false (c) can't tell
  22. 22.Rule: If Ira finishes the homework, then Ira goes to the park. Fact: Ira finishes the homework. What can you say about “Ira goes to the park”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If the plant gets water, then the plant stays green. Fact: The plant stays green. What can you say about “The plant gets water”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If Aisha scores above 90, then Aisha gets a gold star. Fact: Aisha scores above 90. What can you say about “Aisha gets a gold star”? (a) must be true (b) must be false (c) can't tell
  25. 25.Rule: If Priya wins the match, then Priya gets a medal. Fact: Priya does not win the match. What can you say about “Priya gets a medal”? (a) must be true (b) must be false (c) can't tell
  26. 26.Rule: If Rohan wins the match, then Rohan gets a medal. Fact: Rohan does not win the match. What can you say about “Rohan gets a medal”? (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 does not get wet. What can you say about “It rains”? (a) must be true (b) must be false (c) can't tell
  28. 28.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
  29. 29.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
  30. 30.Rule: If Yash wins the match, then Yash gets a medal. Fact: Yash wins the match. What can you say about “Yash does not get a medal”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If Priya finishes the homework, then Priya goes to the park. Fact: Priya does not finish the homework. What can you say about “Priya goes to the park”? (a) must be true (b) must be false (c) can't tell
  32. 32.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
  33. 33.Rule: If the bell rings, then the class starts. Fact: The class starts. What can you say about “The bell does not ring”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If Tara scores above 90, then Tara gets a gold star. Fact: Tara gets a gold star. What can you say about “Tara does not score above 90”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  36. 36.Rule: If the shop is open, then Ira buys milk. Fact: The shop is not open. What can you say about “Ira buys milk”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If Isha finishes the homework, then Isha goes to the park. Fact: Isha does not go to the park. What can you say about “Isha does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  38. 38.Rule: If the traffic light is red, then the cars stop. Fact: The traffic light is red. What can you say about “The cars do not stop”? (a) must be true (b) must be false (c) can't tell
  39. 39.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
  40. 40.Rule: If Isha wins the match, then Isha gets a medal. Fact: Isha does not win the match. What can you say about “Isha gets a medal”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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