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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 559 · 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 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
  2. 2.Rule: If Arjun wins the match, then Arjun gets a medal. Fact: Arjun does not get a medal. What can you say about “Arjun wins the match”? (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 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 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
  5. 5.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
  6. 6.Rule: If Ira finishes the homework, then Ira goes to the park. Fact: Ira finishes the homework. What can you say about “Ira does not go to the park”? (a) must be true (b) must be false (c) can't tell
  7. 7.Rule: If the shop is open, then Ananya buys milk. Fact: The shop is open. What can you say about “Ananya does not buy milk”? (a) must be true (b) must be false (c) can't tell
  8. 8.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
  9. 9.Rule: If Tara finishes the homework, then Tara goes to the park. Fact: Tara finishes the homework. What can you say about “Tara does not go to the park”? (a) must be true (b) must be false (c) can't tell
  10. 10.Rule: If Aarav wins the match, then Aarav gets a medal. Fact: Aarav gets a medal. What can you say about “Aarav wins the match”? (a) must be true (b) must be false (c) can't tell
  11. 11.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
  12. 12.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
  13. 13.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
  14. 14.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
  15. 15.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
  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 red”? (a) must be true (b) must be false (c) can't tell
  17. 17.Rule: If the shop is open, then Neel buys milk. Fact: Neel 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
  18. 18.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
  19. 19.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
  20. 20.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
  21. 21.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
  22. 22.Rule: If Ira scores above 90, then Ira gets a gold star. Fact: Ira gets a gold star. What can you say about “Ira does not score above 90”? (a) must be true (b) must be false (c) can't tell
  23. 23.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
  24. 24.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
  25. 25.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
  26. 26.Rule: If Aisha finishes the homework, then Aisha goes to the park. Fact: Aisha finishes the homework. What can you say about “Aisha goes to the park”? (a) must be true (b) must be false (c) can't tell
  27. 27.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
  28. 28.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
  29. 29.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
  30. 30.Rule: If the shop is open, then Neel buys milk. Fact: Neel buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  31. 31.Rule: If Vivaan wins the match, then Vivaan gets a medal. Fact: Vivaan wins the match. What can you say about “Vivaan does not get a medal”? (a) must be true (b) must be false (c) can't tell
  32. 32.Rule: If Omkar finishes the homework, then Omkar goes to the park. Fact: Omkar finishes the homework. What can you say about “Omkar does not go to the park”? (a) must be true (b) must be false (c) can't tell
  33. 33.Rule: If the shop is open, then Riya buys milk. Fact: Riya buys milk. What can you say about “The shop is open”? (a) must be true (b) must be false (c) can't tell
  34. 34.Rule: If Saanvi wins the match, then Saanvi gets a medal. Fact: Saanvi does not get a medal. What can you say about “Saanvi wins the match”? (a) must be true (b) must be false (c) can't tell
  35. 35.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
  36. 36.Rule: If Siddharth finishes the homework, then Siddharth goes to the park. Fact: Siddharth finishes the homework. What can you say about “Siddharth does not go to the park”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If Isha wins the match, then Isha gets a medal. Fact: Isha wins the match. What can you say about “Isha does not get a medal”? (a) must be true (b) must be false (c) can't tell
  38. 38.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
  39. 39.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
  40. 40.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

Answer key

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

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