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If Then Logic Worksheet

Logical reasoning lesson 23: If–then logic · Set 392 · 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 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
  2. 2.Rule: If Priya scores above 90, then Priya gets a gold star. Fact: Priya gets a gold star. What can you say about “Priya does not score above 90”? (a) must be true (b) must be false (c) can't tell
  3. 3.Rule: If Aarav finishes the homework, then Aarav goes to the park. Fact: Aarav does not finish the homework. What can you say about “Aarav does not go to the park”? (a) must be true (b) must be false (c) can't tell
  4. 4.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
  5. 5.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
  6. 6.Rule: If the shop is open, then Myra buys milk. Fact: The shop is open. What can you say about “Myra does not buy milk”? (a) must be true (b) must be false (c) can't tell
  7. 7.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
  8. 8.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
  9. 9.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
  10. 10.Rule: If Meera wins the match, then Meera gets a medal. Fact: Meera wins the match. What can you say about “Meera gets a medal”? (a) must be true (b) must be false (c) can't tell
  11. 11.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
  12. 12.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
  13. 13.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
  14. 14.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
  15. 15.Rule: If the shop is open, then Kabir buys milk. Fact: Kabir 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
  16. 16.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
  17. 17.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 not red”? (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 class starts. What can you say about “The bell does not ring”? (a) must be true (b) must be false (c) can't tell
  19. 19.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
  20. 20.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
  21. 21.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
  22. 22.Rule: If Saanvi wins the match, then Saanvi gets a medal. Fact: Saanvi gets a medal. What can you say about “Saanvi wins the match”? (a) must be true (b) must be false (c) can't tell
  23. 23.Rule: If Neel wins the match, then Neel gets a medal. Fact: Neel gets a medal. What can you say about “Neel wins the match”? (a) must be true (b) must be false (c) can't tell
  24. 24.Rule: If the shop is open, then Arjun buys milk. Fact: The shop is open. What can you say about “Arjun does not buy milk”? (a) must be true (b) must be false (c) can't tell
  25. 25.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
  26. 26.Rule: If Aarav wins the match, then Aarav gets a medal. Fact: Aarav wins the match. What can you say about “Aarav does not get a medal”? (a) must be true (b) must be false (c) can't tell
  27. 27.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
  28. 28.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 does not finish the homework”? (a) must be true (b) must be false (c) can't tell
  29. 29.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
  30. 30.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
  31. 31.Rule: If Arjun scores above 90, then Arjun gets a gold star. Fact: Arjun does not get a gold star. What can you say about “Arjun scores above 90”? (a) must be true (b) must be false (c) can't tell
  32. 32.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
  33. 33.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
  34. 34.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
  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 Kavya finishes the homework, then Kavya goes to the park. Fact: Kavya does not go to the park. What can you say about “Kavya finishes the homework”? (a) must be true (b) must be false (c) can't tell
  37. 37.Rule: If Diya wins the match, then Diya gets a medal. Fact: Diya wins the match. What can you say about “Diya gets a medal”? (a) must be true (b) must be false (c) can't tell
  38. 38.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
  39. 39.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
  40. 40.Rule: If it rains, then the road gets wet. Fact: It does not rain. What can you say about “The road does not get wet”? (a) must be true (b) must be false (c) can't tell

Answer key

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

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